At the top, a right-angled steel bracket balances precariously on its tip.
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The works, rather than complementing their settings, oppose them, with right-angled forms in nature and sinuous ones against angular architecture.
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Much like how the Pythagorean theorem is crucial to solving right-angled triangle problems, case frameworks help draw a map for building company strategies.
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Both of these phone screens have rounded corners as opposed to traditional right-angled ones, but they're not pushing the boundaries of display design.
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There have been some blatantly modern iterations with sinks and tubs that look like giant round bowls, right-angled faucets, square showerheads and futuristic lighting.
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Despite its right-angled infrastructure, the work is as animate-seeming as its title suggests and recalls Tony Smith's penchant for metaphor disguised as Minimalism.
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Over it he has superimposed a large, open rectangle (or frame) with two lines extending from it, each with two right-angled bends in them.
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In "Black Center" (2017), a full spectrum of brightly colored, right-angled shapes (bars, rectangles, stepped and L-shaped forms) swarm around a black rectangle, pressing into and overlapping its corners.
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Ms. Levitt reflected that concern, capturing children's battle games that echoed World War II. Another myth is that she relied on a right-angled viewfinder, supposedly to stealthily photograph her subjects.
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Red brick buildings sat on right-angled roads that hugged the feast house (dining hall), bake house, piggery, gardens, and school, all communal and all demonstrating sensible zoning and resource management.
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Most cross streets in between were arranged in a regular right-angled grid that was tilted 29 degrees east of true north to roughly replicate the angle of the island of Manhattan.
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This in turn favors a structure shaped like a right-angled U, C, E, or S. Two- or three-bedroom apartments work best at the corners, so one-bedrooms and studios predominate.
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For instance, P1650_C (2015), a recent work on display as part of a new exhibition at London's Carroll/Fletcher gallery, begins with a single line show in two dimensions: a simple right angled hinge.
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Mr. Marks, the gallerist, traced the source of both paintings to a 1950 photograph that Kelly took, "Trapeze Swings, Meschers," showing a right-angled swing hanging in a jungle gym beside a curved swing.
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The official hand signals for bike riders — a straight arm to indicate a turn one way, a right-angled arm to signal the other way — can be confusing and hard to remember in the moment.
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Control is a game that spends most of its running time placing you in dour office blocks, yet every dusty computer and abandoned cubicle around the corner of each right-angled corridor feels ripe with possibility.
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SCIENTIST SUGGESTS NEW THEORY ABOUT ANCIENT SITE Greek philosopher Pythagoras is credited with discovering the famous geometric theorem stating that, in a right-angled triangle "the square of the hypotenuse is equal to the sum of the squares of the other two sides," often written as a^2 + b^2 = c^2 .
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Photographs of "Boundary Split" (1968) show the cuts in ice Oppenheim made in Maine at the US–Canada border with a gasoline-powered chain saw; other images from that same year document "Landslide," for which he inserted right-angled, wooden boards into a heap of dirt by the Long Island Expressway to create a 1,000-foot-long stream of orderly marks.
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In geometry, the elongated gyrobifastigium or gabled rhombohedron is a space- filling octahedron with 4 rectangles and 4 right-angled pentagonal faces.
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Taipan business centre is also known as the "Taipan triangle" as the shape of the area is a triangle right-angled to the southwest.
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The Hadum Mosque as an architectural building belongs to the classic forms of the mosques in the group of the Kosovar style. It is covered with cubes; it has a right-angled rectangular base and a minaret which comes out of the south-west wall, in a right-angled base. The blueprint and the compositional scheme contain these parts: the hall of praying, Hayat and the minaret.
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The suburb forms a right-angled triangle, bounded in the east by Williamstown Road, in the south by Somerville Road, with Geelong Road as the hypotenuse.
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The species name refers to the vinculum with the inner margin projecting and forming a right angle mesially and is derived from Latin rectangulus (meaning right angled).
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In a right triangle, the Euler line coincides with the median to the hypotenuse--that is, it goes through both the right-angled vertex and the midpoint of the side opposite that vertex. This is because the right triangle's orthocenter, the intersection of its altitudes, falls on the right-angled vertex while its circumcenter, the intersection of its perpendicular bisectors of sides, falls on the midpoint of the hypotenuse.
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In a right triangle, the Euler line contains the median on the hypotenuse—that is, it goes through both the right-angled vertex and the midpoint of the side opposite that vertex. This is because the right triangle's orthocenter, the intersection of its altitudes, falls on the right- angled vertex while its circumcenter, the intersection of its perpendicular bisectors of sides, falls on the midpoint of the hypotenuse.
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Similarly, the identities for a quadrantal triangle can be derived from those for a right-angled triangle. The polar triangle of a polar triangle is the original triangle.
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The original, Themistoclean-era gate largely established the final shape of the structure and covered the same area as the Hellenistic structure, and was built of clay bricks on top of a pedestal of Poros limestone blocks. Its general shape resembles a right-angled trapezoid, with the gates located on the cityward, right-angled lateral side. The bases were of unequal length, with the southern one projecting a bit. Square towers were located at each corner of the trapezoid.
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The hall was built on an adobe platform. Its foundation is from loam mortar. The hall is 20 m long and 15 m wide. Its eastern side is not completely right-angled.
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The three form a near-perfect right-angled triangle, such that Beta marks the right angle and is in the south-east. Epsilon Indi is one of the closest stars to Earth, approximately 11.8 light years away.
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Bearss, 2014, p. 479.Marvel, 2002, pp. 15-16. The first division in the attack under Brigadier General Romeyn B. Ayres alone overran the short right angled line on the left side of the Confederate main line.
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Trapezoid special cases. The orange figures also qualify as parallelograms. A right trapezoid (also called right-angled trapezoid) has two adjacent right angles. Right trapezoids are used in the trapezoidal rule for estimating areas under a curve.
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These shapes are rhomboids Traditionally, in two-dimensional geometry, a rhomboid is a parallelogram in which adjacent sides are of unequal lengths and angles are non-right angled. A parallelogram with sides of equal length (equilateral) is a rhombus but not a rhomboid. A parallelogram with right angled corners is a rectangle but not a rhomboid. The term rhomboid is now more often used for a rhombohedron or a more general parallelepiped, a solid figure with six faces in which each face is a parallelogram and pairs of opposite faces lie in parallel planes.
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The velocity maxima and minima do not necessarily occur when the crank makes a right angle with the rod. Counter-examples exist to disprove the idea that velocity maxima/minima occur when crank-rod angle is right angled.
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For thinner-walled tubes up to medium diameters, a simple right-angled saw cut is often sufficient. For thicker tube walls it is necessary to prepare the edges more carefully, for example using a U-groove cross-section.
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Armour could be decorated and was often adorned with feathers. Commoners did not wear armour in battle, usually only wearing a loincloth and warpaint. Warriors carried shields made from two right-angled wooden bars with deerskin stretched across them.
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Stilbus testaceus can reach a length of . These tiny beetles have a spherical-oval brownish body, with a yellowish- reddish apex of the elitra. Head and pronotum are dark. The hind angles of the pronotum are sharp, right-angled.
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There are various standard methods for calculating the length of a side or the measure of an angle. Certain methods are suited to calculating values in a right-angled triangle; more complex methods may be required in other situations.
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There are four possible cases: #If , no such triangle exists because the side does not reach line . For the same reason a solution does not exist if the angle and . #If , a unique solution exists: , i.e., the triangle is right-angled.
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Greene, 2008, p. 184.Bearss, 2014, p. 479.Marvel, 2002, pp. 15–16. The first division in the attack under Brigadier General Romeyn B. Ayres alone overran the short right angled line on the left side of the Confederate main line.
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The original entrance to the graveyard was replaced with a right-angled route instead. Opposite the village hall is a pound where lost sheep would be kept. When farmers collected their sheep, they would have to pay for their release.
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Right angled and chamfered intersections of a PCB track In traditional printed circuit board (PCB) designing, a chamfer may be applied to a right-angled edge of a conductive junction in order to physically strengthen the conductive foil at that location. Chamfering of junctions may also be applied in high-frequency PCB design in order to reduce reflections. In high-voltage engineering, chamfers and rounded edges are used to reduce corona discharge and electrical breakdown. With modern computer-aided design, rounded curve transitions are often used instead of chamfers, to further reduce stress and improve evenness of electroplating.
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A right-angled triangle and its hypotenuse. In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides. For example, if one of the other sides has a length of 3 (when squared, 9) and the other has a length of 4 (when squared, 16), then their squares add up to 25.
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The whorls are flatly conical and slightly scalar. The suture is linear, but strongly defined by the right-angled junction of the whorl. The oblique aperture is much inclined to the axial line, and rectangularly rounded. The columella and outer lip are parallel.
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A two-dimensional equable shape (or perfect shape) is one whose area is numerically equal to its perimeter. For example, a right angled triangle with sides 5, 12 and 13 has area and perimeter both have a unitless numerical value of 30.
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A joint allows the "hammer" part to move backward into a right-angled position. When released, it snaps into the other part of the claw, emitting an enormously powerful wave of bubbles capable of stunning larger fish and breaking small glass jars.
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The Ailles rectangle The Ailles rectangle is a rectangle constructed from four right-angled triangles which is commonly used in geometry classes to find the values of trigonometric function of 15° and 75°. It is named after high school teacher Douglas S. Ailles.
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If the area of the base is T_0 and the areas of the three other (right-angled) faces are T_1, T_2 and T_3, then :T_0^2=T_1^2+T_2^2+T_3^2. This is a generalization of the Pythagorean theorem to a tetrahedron.
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The old Fortacres bar and toll house stood close to the junction of the road that leads to Symington and Dundonald. The road takes a right-angled bend and a track ran off towards the nearby Simon's Burn.Ayr Sheet XXII.8 (Dundonald) Survey date: 1857.
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Wells, D. The Penguin Dictionary of Curious and Interesting Geometry, London: Penguin, (1991). p. 161. However, the resulting polyhedron does not have right-angled dihedrals. The vertices of Jessen's icosahedron are perturbed from these positions in order to give all the dihedrals right angles.
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Its dull colours may render it very inconspicuous, so that it can be easily overlooked. The bi-colored pterostigma and the broad right-angled anal appendages easily help to distinguish it from other species. It breeds in shallow marshes and possibly well vegetated ponds.
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Pythagoras Peak is the highest peak, 1,275 m, in the central Tula Mountains, standing along the north side of Beaver Glacier, 8 nautical miles (15 km) southeast of Mount Storer. The peak has a prominent notch, the eastern aspect being a right-angled triangle with a perpendicular northern face. It was photographed from Mount Riiser-Larsen in February 1958 by ANARE (Australian National Antarctic Research Expeditions) led by Phillip Law, but was first visited and surveyed in December 1958 by G.A. Knuckey, ANARE surveyor. It was named by the Antarctic Names Committee of Australia (ANCA) after Pythagoras, Greek philosopher, whose theorem concerning a right-angled triangle is well known.
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The A684 has primary status for the short length between Kendal and junction 37 of the M6 motorway, though even this primary section involves two hills and some tricky twists. East of the M6, the road descends the "Black Horse" hill and passes through Sedbergh where there is a short diversion to avoid the main street and a difficult right- angled bend. Another right-angled bend east at Garsdale Hall, and the road goes further up the valley to the watershed at Garsdale Head. After this the road passes under Garsdale (or Dandry Mire, or Moorcock) viaduct where after there is a junction with the B6259 road to Kirkby Stephen.
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The genus name Rhytidiadelphus derives from the words Rhytidium and (adelfós, brother), implying a close relationship to the genus Rhytidium. The specific epithet squarrosus refers to the leaves, which are squarrose, having a right-angled bend which causes the tips to extend away from the stem.
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A characteristic Bildts "Kop-Hals-Romp" farmhouse along the Old Bildtdike. drawing of a characteristic Bildts "Kop-Hals-Romp" farmhouse seen from above. Bildts farmhouses are of a characteristic right-angled type. This means that the house has been placed on a right angle with the barn.
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The short street was built in 1897 in the course of the planned development of Maxvorstadt and forms part of the large right-angled street system of this district. It leads from Brienner Straße in the north-east direction to Gabelsbergerstraße. At about the half way point, it curves.
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De Villiers defines a rectangle more generally as any quadrilateral with axes of symmetry through each pair of opposite sides.An Extended Classification of Quadrilaterals (An excerpt from De Villiers, M. 1996. Some Adventures in Euclidean Geometry. University of Durban-Westville.) This definition includes both right-angled rectangles and crossed rectangles.
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The broad flat intervals have much finer threads, generally one or two. On the snout the threads are all alike and somewhat closer than above. The upper whorls are right-angled at the shoulder, but the keel becomes obsolete on the body whorl. The colour of the shell is white.
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The farm and its associated barn are the only listed building in the parish, being designated at Grade II. It is dated 1739, the farmhouse is roughcast with a green slate roof, and has two storeys and three bays, and there is a lower right-angled barn to the right.
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The town inhabitants settled lived between the second and third fortification lines. The construction of the town had clear right-angled forms. In 1561 the town was partially granted the Magdeburg rights. In the middle of the 17th century Rechytsa was practically destroyed during the Cossack war of 1648–1651.
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Thus koṭi-jyā is "the jyā of the complementary arc". In Indian treatises, especially in commentaries, koṭi-jyā is often abbreviated as kojyā. The term koṭi also denotes "the side of a right angled triangle". Thus koṭi-jyā could also mean the side a right triangle one of whose sides is the jyā.
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As well as his work on the properties of right angled triangles, Pythagoras developed another important theory after observing musical instruments. He discovered that the intervals between harmonious musical notes are always in whole number intervals.OpenLearn: The Language of the Universe; accessed 12 March 2014 It deals briefly with Hypatia of Alexandria.
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The pistol shrimp claw has a pistol-like feature made of two parts. A joint allows the "hammer" part to move backward into a right-angled position. When released, it snaps into the other part of the claw, emitting an enormously powerful wave of bubbles capable of stunning larger fish and breaking glass.
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The triangular planning both integrates and separates the exterior and interior space. The longer side of the triangular plan, which is facing the entrance acts as a retaining wall. The right-angled corner defines a significant separation between the inside and out, while at the acute-angled corner integrates the interior and exterior.
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Entolasia stricta, commonly known as wiry panic, is a species of right angled grass in the family Poaceae. It is found in eastern Australia on sandy or sandstone-based soils. The leaves are inrolled or curved inwards and somewhat rough to the touch.Robinson, L. Field Guide to the Native Plants of Sydney. pg. 271.
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The arrows point to some of the many chamfers present. In machining a chamfer is a slope cut at any right-angled edge, e.g. holes; the ends of rods, bolts, and pins; the corners of the long-edges of plates; any other place where two surfaces meet at a sharp angle. Chamfering eases assembly, e.g.
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The upturned, fleshy leaf-pairs of G.cruciatum appear in alternating, right-angled arrangement. Each leaf is broadened at its base. This species has upturned, fleshy leaves that are broadened at the base, and born in pairs. The two leaves in a leaf-pair are a very similar size, unlike many other species of Glottiphyllum.
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This area is northeast of Asheville. It flows northeasterly direction for some distance and after making a right-angled bend, it trends northward until it makes a 90° turn to the west and joins the Gauley River. Here, it takes a new name as the Kanawha River. This continues to the northwest to Charleston.
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The border starts in the north on Mount Nuon in the Nimba Range, and after a very short overland sections reaches the Nuon river, which it follows southwards. It then briefly follows the Dain, Nimoi and Boan rivers, before reaching the Cavalla, which it follows in a broad right angled course out to the Atlantic.
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Robertia has blunt claws on the end of each phalanx, with a protuberance on the undersides. On one fossil specimen, the metacarpal and the phalanges of the longest finger are the same length as the radius. The S-shaped femur similarly articulates in a right-angled, sprawling position. All dicynodonts had a parasagittal hindlimb posture, besides Robertia.
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Each level has functional loopholes. The Neo-Gothic windows at level one most likely were made during the renovations of 1832, while the right-angled windows of level 2 are more original. The upper platform has battlements and merlons. At the court site, the coat of arms of the Bouchout family is visible (a red cross).
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The forewings are shining white with the costal edge dark fuscous towards the base. There is a pale brownish subterminal line from three-fourths of the costa to the tornus, right angled in the middle. The apical portion of the costa and termen is indistinctly marked with light brownish on the veins. The hindwings are grey whitish.
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It figures close to the hyponeuse of the right-angled triangle of Alpha, Beta and Delta, the three brightest stars of Indus. T Indi is the only bright variable star in Indus. It is a semi-regular, deeply coloured red giant with a period of 11 months, 1900 light-years away. Its minimum magnitude is 7 and its maximum: 5.
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They should not be confused with so-called valley gutters or valley flashings which occur at the non-parallel intersection of roof surfaces, typically at right angled internal corners of pitched roofs. Provision is made in the design of the gutter to have a rain flow to the outlet with a maximum slope of 1:200 and a minimum of 1:400.
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The timed length will be 500 yards and the road surface is tarmac. From the start on a gradient of 1 in 3 the road takes a fast left-hand sweep to come to a right-angled bend also to the left. From there the road sweeps to the right to the finishing line. The overall gradient is 1 in 11.
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In a flat space, the sum of the squares of the side of a right-angled triangle is equal to the square of the hypotenuse. This relationship does not hold for curved spaces. One of the defining characteristics of a curved space is its departure with the Pythagorean theorem. In a curved space :dx^2 + dy^2 eq dl^2.
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Bourekas arranged into a Star of David shape. Israeli Bourekas come in a variety of shapes, which are indicative of their fillings. The laws of kashrut require avoiding eating dairy pastries together with ones containing meat, so conventional, distinctive shapes are used to indicate different types of fillings. Cheese Bourekas come in right angled and isosceles triangles, and have two different sizes.
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The forewings are shining white with the costal edge dark fuscous towards the base and there is a slender fuscous subterminal line from three-fourths of the costa to the tornus, almost right angled in the middle. There is a slender ochreous-brownish line along the apical sixth of the costa. The hindwings are grey whitish.Journal of the Bombay Natural History Society.
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After incorporation of the territory into Russian Empire, the construction continued on the western side of the plateau, where the Armenian Quarter was established. Since Shusha had limited urban construction in the 20th century, it preserved its historic architectural-planned composition. Shusha has many madrasahs, mosques, natural springs and bath-houses. The mosques of the districts are right-angled like dwelling houses.
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The shoulder is often nearly right-angled. The whorls are decidedly flattened in the middle. There are on the body whorl, about twenty rather broad, flattened or rounded ribs, which are nearly straight, a little prominent and usually slightly nodose at the shoulder, but they disappear a short distance below it. They are separated by well excavated, concave grooves, deepest close to the shoulder.
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A chamfer with a "lark's tongue" finish A chamfer or is a transitional edge between two faces of an object. Sometimes defined as a form of bevel, it is often created at a 45° angle between two adjoining right-angled faces. Chamfers are frequently used in machining, carpentry, furniture, concrete formwork, mirrors, printed circuit boards, and to facilitate assembly of many mechanical engineering designs.
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Three piece burr A three-piece burr made from sticks with "regular" right-angled notches (as the six-piece burr), cannot be assembled or taken apart. There are, however, some three-piece burrs with different kinds of notches, the best known of them being the one mentioned by Wyatt in his 1928 book, consisting of a rounded piece that is meant to be rotated.
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Gorsley is west of Newent, east of Ross-on-Wye and about south of Ledbury. The village is near junction 3 of the M50, one of the first motorways built in Britain in 1960. The slip roads on the junction end in right angled turns which often surprise motorists used to the more gradual, modern junction designs. The Anglican church parish is combined with Cliffords Mesne.
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Achenes are covered in fine silky hair. This species is common in the northern parts of South Africa and kwaZulu-Natal and was first described by Carl Peter Thunberg (1743-1828), the celebrated Swedish naturalist. "Clema" is Greek for a liane, and the Latin specific name "brachiata" means "provided with arms" since the right-angled and opposite branching habit resembles arms sticking out of a torso.
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Daurala is located at . It has an average elevation of 223 metres (731 feet). Daurala is situated 84 km in north from national capital Delhi. Daurala town falls on national highway 58 and has a dual right angled metalled road to make a square route (Chaudhary Charan Singh Chowk), one of this road is joining Daurala to Baraut while other to national highway 119 at Masuri (meerut).
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Each proposition is illustrated with a crudely drawn diagram. Several lines of text in each proposition were left shorter than the remainder of the text lines in order to leave space in the right of the column for the illustrations. The left column has a parallelogram, and two right-angled triangles, while the right has an equilateral triangle, a stone, and two concentric circles.
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The left wall of Gates of Yabba is a Scenic Reserve, whilst the eastern side is a section of Wratten National Park. 6\. Owen Cascades- Last section of the falls bears the streams of water over a convex profile into a series of pools, Corner Pools, at the right-angled corner on the gorge that leads into Gates of Yabba section of the gorge.
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The original gun suffered from a weakness related to the design of the receiver. Under field conditions, the bottom plates, which were dovetailed into the gun's two side plates, tore out. An early fix was to attach a roughly horseshoe-shaped steel bracket around the rearmost part of the receiver. A later fix was to rivet "stirrups" (right-angled steel pieces) to the bottom and side plates.
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Sparrowpit is a small village between Chapel-en-le-Frith and Peak Forest in the High Peak area of the Peak District, Derbyshire, England. The name is derived from 'spar row pit' from the fluorspar mines. The village has an active community, including a methodist chapel and village hall. It is situated at a crossroads where the main road (A623) takes a right-angled bend at the Wanted Inn.
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The Fish-House (also known as the Salmon House) is a Category B listed building on Golf Road in the Inverugie area of Peterhead, Aberdeenshire, Scotland. One of the two right-angled blocks dates from 1585,FISH-HOUSE, GOLF ROAD - Historic Environment Scotland it is the oldest building in Peterhead.A History of Peterhead (p.245), Findlay It is still in operation as the home of the Ugie Salmon smokehouse.
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Gibson mounted the pickup directly against the base of the neck, rather than the mid- body position of the Precision Bass, which gave the EB-1 a deeper, but less defined tone. The EB-1 had planetary banjo tuners, rather than the right- angled tuners of most other guitar and bass designs. More recent reissues have featured more conventional construction techniques, with standard issue tuning pegs and a standard bass bridge.
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The present course of the Tisza was established relatively recently in geological time. Until the end of the Pleistocene it flowed along the southern border of the Nyírség area in north- eastern Hungary, but later it changed its flow forming a right-angled bend to the north of the Nyírség. The Tisza and its tributaries built up very large, but flat alluvial cones along the edges of the Great Plain.
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The fortress of Kosh (13th century) is in the northern part, on top of a hill, and has right-angled corners and circular towers, built with clear cut large tuff stone blocks, with the lower part consisting of rough-cut basalt blocks. The entrances are situated in the north and south with ceiling-covered corridors. South of Kosh, stands a large khatchkar-monument of red tuff from 1195. It is tall).
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South Kingsville is a inner suburb of Melbourne, Victoria, Australia, 8 km south-west of Melbourne's central business district. Its local government area is the City of Hobsons Bay. At the , South Kingsville had a population of 1,947. The suburb is shaped as a right-angled triangle, bounded by New Street in the west, Blackshaws Road in the south, with the Newport-Sunshine railway line as a hypotenuse.
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By shifting the curring plane (Gig. 6.2), we can find a parabola with any latus rectum. If, then, we wish to duplicate a cube of edge a, we locate on a right-angled cone two parabolas, one with latus rectum a and another with latus rectum 2a. [...] It is probable that Menaechmus knew that the duplication could be achieved also by the use of a rectangular hyperbola and a parabola.
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Manezhnaya Square (, romanized Manezhnaya ploschad) ia a square in the Tsentralny District of Saint Petersburg. Fountain at Manezhnaya Square In some guidebooks this square may be also named a Riding-School Square:Eugene Fodor, Robert C. Fisher Fodor's Soviet Union. Fodor's Travel Publications, 1990 - 420 pages "riding school" is one of the variants in which and may be translated. The shape of Manezhnaya Square is close to the right-angled triangle.
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The Château de Montataire is a 12th-century castle in the commune of Montataire in the Oise département of France. The castle was constructed in the 12th century by Count Renaud II de Clermont () on the orders of the king. It comprises a right-angled corps de logis flanked by four round towers of different diameters. The building was subject to several alterations up to the 19th century.
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The network of streams and rivers is angular, conforming to fractures in the hard bedrock, with straight segments between right-angled forks. In the plateau the rivers flow through narrow V-shaped valleys with very steep slopes. In the piedmont the valleys have the U-shaped profile typical of glacial valleys, and the rivers wander through the glaciofluvial deposits. The Bouleau River has a length of and vertical drop of .
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The ears are brown and they have an almost right-angled notch at the outer edge and many scattered, wart-like growths on the auricle. The tip of the tragus does not reach the notch on the edge of the ear. The wings are brown and broad. The edge of the tail membrane is supported by a straight calcar and part of it has short, straight and soft hairs.
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The Native American tribes of the Chesapeake region, who were Algonquian speakers, had made use of a type of "relatively small, clay, conical-bowled, obtuse- or right-angled elbow pipe" prior to European and African colonization of the area.Mouer et al 1999. p. 101. The first African slaves had been brought to the Chesapeake in the early 17th century, being recorded in Virginia in 1619 and in Maryland in 1634.
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It was originally built as a tunnel in 1961, as protection against a nuclear attack. The Bridge of Nine Turns across the lake was built in 1960. It is 230 meters in length by 2.5 meters wide, including nine right-angled turns. The restored Zhongxing Pagoda the lake area's tallest structure, standing 43 meters high, with good views from the top, which can be reached via winding stairs.
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129 (1997), no. 3, pp. 445–470 Bestvina and Brady developed a version of discrete Morse theory for cubical complexes and applied it to study homological finiteness properties of subgroups of right-angled Artin groups. In particular, they constructed an example of a group which provides a counter-example to either the Whitehead asphericity conjecture or to the Eilenberg−Ganea conjecture, thus showing that at least one of these conjectures must be false.
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The Ponttor was constructed as a right-angled three-stock tower castle. In the main entrance, there is a Portcullis as well as a machicolation, through which things could be dropped on invading forces. A bridge passage with crenelations spanned a moat and was strengthened in the foregate with two reinforced towers (barbicans). The building material was Devonian sandstone, Pennsylvanian carbonite sandstone and quartzite, with the framing material made of light bluestone.
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But astrophysics notwithstanding, the money ran out in the end. In 1946 a federal ban on casinos put the Cassino da Urca out of business. The building was later acquired by TV Tupí, a pioneering Brazilian television station owned by Assis Chateaubriand, the first Brazilian media mogul. TV Tupi built a new frontage for the building onto the beach, increasing its internal space and turning the curved 1930s exterior into a plain right-angled building.
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Ball Farm stands at by a right-angled bend on Hall Lane just to the north west of Hankelow village. The listing gives the address as "Hankelow Lane", which no longer exists.Search at Cheshire East Council Public Map Viewer (accessed 11 March 2020) It is near Manor Farm, a grade-II-listed farmhouse of the late 18th or early 19th century, and Hankelow Court, a Black- and-white Revival house of 1875.Hartwell et al.
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Of the numerous shelters, the Auditorium cave is one of the significant features of the site. Surrounded by quartzite towers which are visible from several kilometres' distance, the Auditorium rock is the largest shelter at Bhimbetka. Robert Bednarik describes the prehistoric Auditorium cave as one with a "cathedral-like" atmosphere, with "its Gothic arches and soaring spaces". Its plan resembles a "right-angled cross" with four of its branches aligned to the four cardinal directions.
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The loch and the river became separated around 1600. A succession of storms built banks of sand and boulders that eventually closed off the sea entrance. It is documented that in 1609, to avoid flooding, the post-Reformation Protestant Bishop Alexander Douglas took steps to exclude the River Lossie from the loch. Evidence of a sudden and apparently artificial right-angled bend between Caysbriggs and Inchbroom may indicate the location of this diversion.
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The witness recalled that it was slowly rolling forward, but its backup lights were on, as well as its back-up beepers. They continued past it. A passenger in the vehicle said that they saw Lisinicchia pointing toward the valley. At the bottom of the hill is a right-angled three-way intersection where NY 30A forks off to the north while NY 30 turns southward toward Schoharie, two miles (3.2km) away.
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Tuxen "enjoyed success with conventional forms of design but he was also open to persuasion" and new ideas. His differing approaches to design and planning are evident in his 1914 "right-angled subdivision design in Bittern, Victoria". The Bittern design was based on a grid system plan. In contrast, his design for the ‘Hill Top’ development in Mont Albert, a suburb of Melbourne, incorporated "unusual size and shape, with an irregular streetscape".
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A closed ThinkPad's typical boxy black exterior A typical example (ThinkPad T20) open The design language of the ThinkPad has remained very similar throughout the entire lifetime of the brand. Almost all models are solid black inside and out, with a boxy, right-angled external case design. Some newer Lenovo models incorporate more curved surfaces in their design. Many ThinkPads have incorporated magnesium, carbon fiber reinforced plastic or titanium into their chassis.
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It was first described by Archard and Taylor in 1948. The prism is made of two right-angled prisms of calcite (or sometimes other birefringent materials) separated on their long faces with an air gap. The optical axes of the calcite crystals are aligned parallel to the plane of reflection. Total internal reflection of s-polarized light at the air gap ensures that only p-polarized light is transmitted by the device.
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Diagram of Pythagoras Theorem Observe that we have four right-angled triangles and a square packed into a large square. Each of the triangles has sides a and b and hypotenuse c. The area of a square is defined as the square of the length of its sides - in this case, (a + b)2. However, the area of the large square can also be expressed as the sum of the areas of its components.
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The Bomlitz is known in the local dialect as the Bommelse, a word originally derived from Bamlina meaning Kleiner Baumfluss ('Little Baum River'), because it was the main tributary of the Böhme, formerly known as the Bama or Bumen meaning Baumfluss ('tree river'). Its present name is taken from the village of Bomlitz, whose name comes from its location on the right-angled bend of the valley known as the Bommel-Etz.
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Cheap mitre clamp Mitre clamps are designed to hold mitre joints together. The earliest mitre clamps are a simple spring in a C-shape with sharpened points that are sprung onto the outside corner of the mitre joint. The right angled plates are higher than the screws and the red holder. The screws go under the frame (work-piece) to be held, and the red bit clamps down on the lower-edge of the frame.
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The forewings are white with a fuscous line from two-thirds of the costa to the tornus, right angled in the middle, dark fuscous towards the extremities. The space between this and the termen is more or less tinged with fuscous and there is a dark fuscous line around the posterior sixth of the costa and termen to near the tornus. The hindwings are whitish grey.Transactions of the Entomological Society of London.
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The flexibility and utility of EWMN allows it to be applied in a wide variety of fields. It has been used to record movements and forms of the hands and fingers in sign language;Eshkol, N.; Harries J.G., Zeidel, S., Shoshani, M. The hand book. Israel: The Movement Notation Society; 1972 in the composition of dances,Eshkol, N. Right Angled Curves (Dance suite). Israel: The Movement Notation Society & Tel Aviv University; 1975.
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Right at the entrance to the sanctum sanctorum, there are very finely sculpted images of the ten avatars of the god Vishnu, apart from images of Shiva and Ganesha. The towering roof of this garbhagriha is topped by Kalasha, which is circular in shape. The garbhagriha has striking right angled offsets in the north east and southern part which add to the elegance of the temple. There are many small towers which surround the main tower.
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A Glan–Foucault prism deflects p-polarized light, transmitting the s-polarized component. The optical axis of the prism material is perpendicular to the plane of the diagram. A Glan–Foucault prism (also called a Glan–air prism) is a type of prism which is used as a polarizer. It is similar in construction to a Glan–Thompson prism, except that two right-angled calcite prisms are spaced with an air gap instead of being cemented together.
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The Lake Vibert, at the source of the Vibert River, is the only lake of any size. Water bodies cover 2.37 of the river basin, and ombrotrophic peatlands cover 2.18%. The streams and rivers follow angular courses dictated by fractures in the bedrock, with straight line sections and right-angled junctions. In the downstream section of the Chaloupe in the south of the piedmont section the river winds through its alluvial sediments, and in the coastal plain it meanders.
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Mount Evelyn railway station mid-1940s. Incorrectly labelled 1920 when reprinted in 1986 to mark the opening of the library Mount Evelyn nestles in a right-angled bend of the Olinda Creek, a large, permanent creek known originally as Running Creek. Different parts of the current Mount Evelyn area were first known as Olinda Vale, Billygoat Hill, McKillop/Valinda and South Wandin. The Post Office opened on 15 February 1904 as Valinda (derived from Olinda Vale).
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The Building of the Old Hamam in Mitrovica The Old City Hammam building in Mitrovica is representative of the Ottoman architecture in Kosovo. It was constructed in oriental style by Sulejman Pashe Berisha and his nephew Zejnullah Beg Berisha in the 18th century. A right-angled annex, 15 m long and 10 m wide was added at the end of the 19th century. It is the only hammam in Kosovo built with familiar budget and not by the government.
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The highest symmetry forms are D2d, order 8, while if the underlying rectangular cuboid is distorted into a rhombohedron, the symmetry is reduced to 2-fold rotational symmetry, C2, order 2. It has all 3-valence vertices and its dual has all triangular faces, including the snub disphenoid as a deltahedron with all equilateral triangles.Dual of Snub Disphenoid (J84) However the dual of the snub disphenoid is not space-filling because the pentagons are not right-angled.
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The tunnel lies on a level section of canal. To the east are Camden Locks, the first three of twelve locks through which the canal descends to Limehouse Basin, from which Limehouse Lock provides access to the Thames. After passing under the A5205 road bridge, there is a right-angled bend after the locks, with the stub of Cumberland Basin to the left. The route then follows the northern edge of Regent's Park, which houses London Zoo.
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Stretching east of the old town core from the marketplace, which itself dates from about 1700, is a Baroque town expansion. Its streets match the ideals of town building at that time with right-angled intersections, the timber-frame houses lining them pragmatic and far less decorated than in the town core. Building "sins" and great changes have been avoided, and instead, restoration is what was more often done, thereby preserving an impressive, unbroken ensemble of these buildings.
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The wingspan is about 18 mm. The forewings are white mixed light grey, appearing whitish grey. The basal third of the costa is light yellowish grey, the rest of the costal edge white with six small dark fuscous marks. There are two fine distinct transverse fuscous lines, the first at one-third, straight and direct, the second from two-thirds of the costa very obliquely outwards, above the middle right-angled and running to the dorsum before the tornus.
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You draw walls around residential > groups, you do not place living groups in rectangles. ... there will hardly > be a right-angled building. ... A natural order will be set up in which the > endeavor is made to determine the place to the sun in detail, so that the > house expands radially to the south to and from east to west, but the north > turns its back. It behaves like a plant turning its organs to the sun.
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On some early maps it appears as "Stretton Street". The street was originally a cul-de-sac, running north from Piccadilly with Devonshire House on its eastern side, but in 1924 Devonshire House was demolished and Stratton Street was extended from its northern end eastwards to Berkeley Street, giving it the present right-angled shape."Stratton Street, W1." in Mayfair Place, which joins the two streets lower down, was laid out at the same time.Hibbert, et.al.
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In his On the Sector Figure, he stated the law of sines for plane and spherical triangles, and provided proofs for this law. According to Glen Van Brummelen, "The Law of Sines is really Regiomontanus's foundation for his solutions of right-angled triangles in Book IV, and these solutions are in turn the bases for his solutions of general triangles."Glen Van Brummelen (2009). "The mathematics of the heavens and the earth: the early history of trigonometry".
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Right angle triangle A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse (side c in the figure). The sides adjacent to the right angle are called legs (or catheti, singular: cathetus).
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The circle and the triangle are equal in area. Proposition one states: The area of any circle is equal to a right-angled triangle in which one of the sides about the right angle is equal to the radius, and the other to the circumference of the circle. Any circle with a circumference c and a radius r is equal in area with a right triangle with the two legs being c and r. This proposition is proved by the method of exhaustion.
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The image is rotated 180° in the process, and for this reason the prism is used as an image erection system in some binoculars, and camera viewfinders. The prism is not dispersive since light enters and exits the prism only at normal incidence. Since the light is reflected an even number of times, the image's handedness is not changed. For ease of manufacture, the prism is often made as a pair of double-right-angled prisms and the two halves cemented together.
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A Glan–Thompson prism consists of two right-angled calcite prisms that are cemented together by their long faces. The optical axes of the calcite crystals are parallel and aligned perpendicular to the plane of reflection. Birefringence splits light entering the prism into two rays, experiencing different refractive indices; the p-polarized ordinary ray is totally internally reflected from the calcite–cement interface, leaving the s-polarized extraordinary ray to be transmitted. The prism can therefore be used as a polarizing beam splitter.
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The Old City Hammam was constructed in oriental style by Sulejman Pashe Berisha and his nephew Zejnullah Beg Berisha in the 18th century. A right-angled annex, 15 m long and 10 m wide was added at the end of the 19th century. It is the only hammam in Kosovo built with familiar budget and not by the government. The roof of the building has nine domes, one big central dome and eight small domes, covered in lead and zinc.
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Moulding (also spelled molding in the United States though usually not within the industry), also known as coving (United Kingdom, Australia), is a strip of material with various profiles used to cover transitions between surfaces or for decoration. It is traditionally made from solid milled wood or plaster, but may be of plastic or reformed wood. In classical architecture and sculpture, the molding is often carved in marble or other stones. A "plain" molding has right-angled upper and lower edges.
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Then he treats geometric measurements—employing 62,832/20,000 (= 3.1416) for π—and develops properties of similar right-angled triangles and of two intersecting circles. Using the Pythagorean theorem, he obtained one of the two methods for constructing his table of sines. He also realized that second-order sine difference is proportional to sine. Mathematical series, quadratic equations, compound interest (involving a quadratic equation), proportions (ratios), and the solution of various linear equations are among the arithmetic and algebraic topics included.
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A right-angled triangle where c1 and c2 are the catheti and h is the hypotenuse In a right triangle, a cathetus (originally from the Greek word ; plural: catheti), commonly known as a leg, is either of the sides that are adjacent to the right angle. It is occasionally called a "side about the right angle". The side opposite the right angle is the hypotenuse. In the context of the hypotenuse, the catheti are sometimes referred to simply as "the other two sides".
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St Gevork church, 19th century. St. Grigor (13th-14th centuries) and St. Gevork (19th century) are protected within Kosh, Armenia, and an oil refinery (18th century). The fortress of Kosh (13th century) is located in the northern part, top of a hill with right-angled corners and circular towers, built with clear cut large tuff stone blocks, with the lower part consisting of rough-cut basalt blocks. The entrances are situated in the north and south with ceiling- covered corridors.
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Jean II de Chambes built the Château de Montsoreau in 1455. The building marks the transition from military architecture to architecture for pleasure, as shown by the large windows, the numerous chimneys, and the attention paid to sanitation problems. The castle's central dwelling was built directly on the banks of the Loire. Unusually, two right-angled wings, looking like two square towers framing the main building, were built a few years later, at a time when round towers were usually built.
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Listed buildings include a watchman's box that also served as a village lock-up and dates from 1787. Petersham Road (part of the A307) includes an extremely sharp right-angled bend edged by a pair of handsome wrought-iron gates. This is the entrance to Montrose House, one of the most notable houses in Petersham. After a spate of serious accidents on the bend in the road, the neighbours formed a group in the 1850s called Trustees of the Road.
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Coventry Godcakes are baked puff pastry pasties containing sweet mincemeat, which originate from the city of Coventry, England. They are in the form of a right angled isosceles triangle, marked with three slits on the top and sprinkled with sugar. The triangular shape and the markings are said to be reference to the Holy Trinity. Godcakes are a New Year tradition in the city, and are given by godparents to their godchildren along with a blessing for the year ahead.
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The Cayley graph of the free group on two generators a and b Geometric group theory uses large-scale geometric techniques to study finitely generated groups. It is closely connected to low-dimensional topology, such as in Grigori Perelman's proof of the Geometrization conjecture, which included the proof of the Poincaré conjecture, a Millennium Prize Problem. Geometric group theory often revolves around the Cayley graph, which is a geometric representation of a group. Other important topics include quasi-isometries, Gromov-hyperbolic groups, and right angled Artin groups.
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Their flattened tails and short legs, which probably ended in webbed feet, would have been their main means of propulsion in the water. The parietal eye on top of the head assisted the animal with orientation, rather than its vision, and its presence is regarded as a primitive characteristic. The vertebral processes of Placodus dove-tailed into each other and were firmly connected, so that the trunk was rigid. The abdomen was covered with a special armor formed of the bent, right-angled abdominal ribs.
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It consists of a block of material shaped like a right geometric prism with right-angled triangular end faces. In operation, light enters the large rectangular face of the prism, undergoes total internal reflection twice from the sloped faces, and exits again through the large rectangular face. Because the light exits and enters the glass only at normal incidence, the prism is not dispersive. An image traveling through a Porro prism is rotated by 180° and exits in the opposite direction offset from its entry point.
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Right-angled sockets, which would have supported the ends of wooden beams, indicate that it had two or more internal floor levels. Old and New Erfenstein are separated from one another by a wide (inner) neck ditch. At the foot of the sandstone rock on which New Erfenstein stands there was also a lower ward (Unterburg) of which a few surviving elements can be seen. Unlike Spangenberg Castle opposite, the site is in a poor condition, apart from the remnants of the lower ward.
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Elevations range between 30 and 70 metres above sea level except higher in about 5% of the borough. The highest is an escarpment containing parts of the rural and wooded northern area, the hinterland of three Thames-side villages, facing the 30-mile long Chilterns AONB, west and north. A geological part of that range of hills, Bowsey Hill reaches 137m, in Wargrave civil parish, from the river.Geograph.org.uk map retrieved 2015-01-28 Approximately a right-angled triangle, the borough is long north to south.
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An arris rail is a structural element, whose cross section is a 45 degree isosceles right angled triangle. Arris rails are usually made of wood, and are manufactured by cutting a length of square-section timber lengthwise diagonally. They are used for structures which require joining two timbers at right angles; for example, connecting wooden posts and beams. Another common use is for the horizontal rails of timber fences, since the diagonal edges prevent water from collecting on top of the wood and thus rotting the timber.
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His major contribution was the Jigu suanjing ("Continuation of Ancient Mathematics" 缉古算经), written before year 626. Jigu Suanjing became a text for the Imperial examinations; it was included as one of the Ten Computational Canons when reprinted in 1084. The book contains 20 problems based mostly on engineering construction of astronomic observation tower, dike, excavation of a canal bed etc. and right angled triangles, but which in essence deal with the solution of cubic equations, the first known Chinese work to deal with them.
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Cavalier King Charles Spaniel with bandaged foot. Also known as a cravat bandage, a triangular bandage is a piece of cloth put into a right-angled triangle, and often provided with safety pins to secure it in place. It can be used fully unrolled as a sling, folded as a normal bandage, or for specialized applications, as on the head. One advantage of this type of bandage is that it can be makeshift and made from a fabric scrap or a piece of clothing.
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Pormeister went on to design a gardening exhibition centres in Tallinn and one for a horticultural institute in Moscow (1964). In her Café Tuljak (1964), an extension to the Flower Pavilion, Pormeister was also inspired by Finnish trends, this time by rather heavier, right-angled style with dark wooden cornices. Pormeister's next important project was another Nordic-styled work, The Administrative and Research Centre for the Kurtna Experimental Poultry Farm (1966). Her careful planning, attention to detail and use of matching materials inside and out culminated in a building perfectly suited to its surroundings.
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The square aperture is perpendicular. The sharp outer lip is thickened by a slight internal remote callus, not patulous, not descending, advancing at its junction with the body whorl and then slightly retreating so as to form the very shallow open sinus. It is right-angled at the periphery, flat on the base, where it retreats so as to form two rounded sinuses, making with the columella an angle that is scarcely obtuse. The columellar lip is straight, a little thickened and reverted, so as to leave a slight groove behind it.
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Braque "builds an architectural monster which he names woman". Braque was, according to Burgess, "the originator of architectural nudes with square feet, as square as boxes, with right-angled shoulders". Derain, "a co- experimenter," writes Burgess, "moulds a neolithic man into a solid cube, creates a woman of spheres, stretches a cat out into a cylinder, and paints it red and yellow!" In his 1912 Anecdotal History of Cubism André Salmon writes: > Jean Metzinger and Robert Delaunay painted landscapes planted with cottages > reduced to the severe appearance of parallelepipeds.
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Around the same time (1468) in Rome, Pannartz and Sweynheim were using another typeface that closely mimicked humanistic minuscule, known as "Lactantius". Unlike the rigid fractured forms of Speyer's half-Gothic, the Lactantius is characterized by smoothly rendered letters with a restrained organic finish. The Lactantius a departed from both the Carolingian and Gothic models; a vertical backstem and right-angled top replaced the diagonal Carolingian structure, and a continuous curved stroke replaced the fractured Gothic bowl element. For details on the evolution of lower case letterforms from Latin capitals, see Latin alphabet.
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Related symbols are , , and .Unicode 5.2 Character Code Charts Mathematical Operators, Miscellaneous Mathematical Symbols-B In diagrams, the fact that an angle is a right angle is usually expressed by adding a small right angle that forms a square with the angle in the diagram, as seen in the diagram of a right triangle (in British English, a right-angled triangle) to the right. The symbol for a measured angle, an arc, with a dot, is used in some European countries, including German-speaking countries and Poland, as an alternative symbol for a right angle.
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Calculation from this value will eventually give the distance from the base of the object to the eye-line of the observer. Finally the distance x from the observer to the object needs to be measured. Looking at the geometry involved in step 1 results in sketch a: two right angled triangles, shown here with the identical small angles in yellow. Next in sketch b we see that the two triangles have identical angles - each has a right angle, the same small angle shown in yellow, and the same larger angle shown in orange.
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In October the 490 crashed on take off due to fuel starvation, though it was not badly damaged, and Latécoère took the opportunity to increase the fin area during the repairs. The new fin had the shape of an equilateral right angled triangle, and the now deeper rudder was slightly reduced in chord. At that point it was registered as F-AKDD before returning to Villacoublay to complete the tests early in 1932. It was the fastest machine in level flight, though the ANF Les Mureaux 113 climbed faster.
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The entrance is decorated with a tall black wooden double-door, accompanied by equally impressive checker-framed windows. There is an imposing back entrance on the far side of the main hall with identical doors and windows, and which leads to a decorated ornamental patio-courtyard. Another balcony sits outside the back entrance but is connected to imposing angular staircases on either side with right-angled twists; instead of the spiral ones found on the front face. All the staircases and balconies are fenced with stylised pillar columns.
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Georgiyevsk has right-angled planning in the town center—a legacy of the fortress. The old town center was in the high bank on the Podkumok River near the Nikolskaya church—the oldest Orthodox church in Stavropol Krai—and a monument of wooden architecture of the 18th century. The modern town center was built at the beginning of the 20th century around the fair square. The best examples of architecture of that period are the Old City Hall, the former Hotel "Louvre", the former Hotel "London", and Public Secondary schools #1 and #3.
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The geometric proof of the classification in the previous paragraph is important to understand the structure of hyperbolic pants. It proceeds as follows: given an hyperbolic pair of pants with totally geodesic boundary the three geodesic arcs joining the cuffs pairwise and which are perpendicular to them at their ends are uniquely determined, and are called the seams of the pants. Cutting the pants along the seams one gets two right-angled hyperbolic hexagons which have three alternate sides of matching lengths. The following lemma can be proven with elementary hyperbolic geometry.
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Altitudes can be used in the computation of the area of a triangle: one half of the product of an altitude's length and its base's length equals the triangle's area. Thus, the longest altitude is perpendicular to the shortest side of the triangle. The altitudes are also related to the sides of the triangle through the trigonometric functions. In a right triangle, the altitude from each acute angle coincides with a leg and intersects the opposite side at (has its foot at) the right-angled vertex, which is the orthocenter.
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Ordinary trigonometry studies triangles in the Euclidean plane R2. There are a number of ways of defining the ordinary Euclidean geometric trigonometric functions on real numbers: right-angled triangle definitions, unit-circle definitions, series definitions, definitions via differential equations, definitions using functional equations. Generalizations of trigonometric functions are often developed by starting with one of the above methods and adapting it to a situation other than the real numbers of Euclidean geometry. Generally, trigonometry can be the study of triples of points in any kind of geometry or space.
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Nadir Divan-Beghi Madrasah courtyard Today the Lyab-i Hauz is a right-angled pond (46 x 36 meters), which stretches from the east to the west and is buried in the verdure of century-old trees. Its edges are arranged in the form of the descending staircase made of massive blocks of yellowish limestone. As stated above the Kukeldash Madrasah is the biggest in Bukhara (80 x 60 meters). Kulbala Kukeldash ('the brother') was the name of the Emir's foster-brother who was the builder of this structure.
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In a two-dimensional space, a circle can be described by: :\left( x-a \right)^2 + \left( y-b \right)^2 = r^2 \ \ \ \ \ (1) where (a,b) is the center of the circle, and r is the radius. If a 2D point (x,y) is fixed, then the parameters can be found according to (1). The parameter space would be three dimensional, (a, b, r). And all the parameters that satisfy (x, y) would lie on the surface of an inverted right-angled cone whose apex is at (x, y, 0).
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Many identities interrelate the trigonometric functions. This section contains the most basic ones; for more identities, see List of trigonometric identities. These identities may be proved geometrically from the unit-circle definitions or the right-angled- triangle definitions (although, for the latter definitions, care must be taken for angles that are not in the interval , see Proofs of trigonometric identities). For non-geometrical proofs using only tools of calculus, one may use directly the differential equations, in a way that is similar to that of the above proof of Euler's identity.
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Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their side lengths are proportional. Proportionality constants are written within the image: , , , where is the common measure of five acute angles. In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.
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April 2008 In October 2008, the conversion began, in which former cropland along the brook, which through Flurbereinigung had been transferred to the municipality's ownership, was removed so that the brook could broaden out to the sides in heavy rains. To reduce the speed of flow, meanders were built back in and, of particular importance, two almost right-angled bends were smoothed out. With the planting of typical local trees and shrubs, the renaturation was completed in early 2009.Die Rheinpfalz, Lokalausgabe Frankenthaler Zeitung: An einem Strang, 28.
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For squares on two sides of an arbitrary triangle it yields a parallelogram of equal area over the third side and if the two sides are the legs of a right angle the parallelogram over the third side will be square as well. For a right-angled triangle, two parallelograms attached to the legs of the right angle yield a rectangle of equal area on the third side and again if the two parallelograms are squares then the rectangle on the third side will be a square as well.
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Another approach is to split the triangle into two right- angled triangles. For example, take the Case 3 example where b, c, B are given. Construct the great circle from A that is normal to the side BC at the point D. Use Napier's rules to solve the triangle ABD: use c and B to find the sides AD, BD and the angle BAD. Then use Napier's rules to solve the triangle ACD: that is use AD and b to find the side DC and the angles C and DAC.
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What today appears to be another doorway next to this, leading by a right-angled passage into the keep, was actually a barrel vaulted mural chamber, which seems to have had an arrowslit in the wall at this end, now breached. This chamber may have been a garderobe, but this is debated. The walls above show no signs of any wall openings even to the staircase. The re-building work may have removed any evidence of a doorway to what was possibly a second floor of sleeping accommodation, or the walls may have concealed a pitched roof, similar to the keep at Peveril.
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The road follows the shores nearby and runs near Castle Caldwell and the closed railway track of the GNR (I) (which was originally part of the Enniskillen and Bundoran Railway) is a field way before heading in different ways into Belleek. In the village there is a right-angled left-hand turn with a junction into Belleek Pottery crosses the River Erne briefly into County Donegal before the junction right for Ballyshannon (along the N3) and then the road turns left and back into County Fermanagh linking into the A46 road (Northern Ireland) (the south shore road of Lower Lough Erne).
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Allegory of the Arithmetic with knotted rope (taken from the Hortus deliciarum (around 1180) The arithmetic rope, or knotted rope, was a widely used arithmetic tool in the Middle Ages that could be used to solve many mathematical and geometrical problems. An arithmetic rope generally has at least 13 knots—therefore, it is often called thirteen-knot-rope—placed at equal intervals. More knots were beneficial, especially for multiplication and division. In medieval architecture, the knotted rope was indispensable for architects, because it allowed the construction of equilateral and right- angled triangles, as well as circles.
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The core area framing of a Haubarg Haubargs have a right-angled floor plan, which is square in the case of four- post buildings. They are post-and-beam houses, a form of Ständerhaus, in which the house is supported on, usually four, but sometimes six or eight posts, depending on size, that are joined by longitudinal and transverse beams (Pfetten). In rare cases, no longer seen today, there were as many as ten posts. This method of construction meant, inter alia, that the house was resistant to the forces of nature, especially storms and their associated surges.
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In music, the water organ, invented by Ctesibius and subsequently improved, constituted the earliest instance of a keyboard instrument. In time-keeping, the introduction of the inflow clepsydra and its mechanization by the dial and pointer, the application of a feedback system and the escapement mechanism far superseded the earlier outflow clepsydra. Innovations in mechanical technology included the newly devised right-angled gear, which would become particularly important to the operation of mechanical devices. Hellenistic engineers also devised automata such as suspended ink pots, automatic washstands, and doors, primarily as toys, which however featured new useful mechanisms such as the cam and gimbals.
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Pythagorean Method of Memorization (PYMOM), also known as Triangular Movement Cycle (TMC), is a game-based, educational methodology or associative-learning technique that primarily uses corresponding information, such as terms and definitions on opposing sides, displayed on cue cards, to exploit psychological retention of information for academic study and language acquisition. PYMOM is named such because of the shape the cue-cards form during the progression of the game, a right-angled or Pythagorean triangle. It is a theoretical educational method that is made up of several established and tested educational methods that have been in use for decades.
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He was in favor of returning to nature and gaining the freedom that was lost with the inventions that take us places in this day and age: > A man could be a lover and defender of the wilderness without ever in his > lifetime leaving the boundaries of asphalt, power lines, and right-angled > surfaces. We need wilderness whether or not we ever set foot in it. We need > a refuge even though we may never need to go there. I may never in my life > go to Alaska, for example, but I am grateful that it is there.
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The seaward (west) side of the island is particularly rocky and has high cliffs, some hundreds of metres high, that drop straight into the sea. The cliffs are subject to very strong prevailing westerly winds and the scrubby vegetation that grows there is low and stunted by the harsh environmental conditions. A cross-section of the island would show almost a right-angled triangle, revealing its origins from lying on a fault line (part of the same ridge as the Tararua Range). The island's vegetation is dominated by scrub and forest of kohekohe, tawa, and kanuka.
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"Mother Armenia" needs care (In Armenian) In contrast to the right-angled shapes of the external view, the interior is light and pleasing to the eye and resembled Echmiadzin's seventh-century St. Hripsime Church. In spring 1962, the statue of Stalin was removed, with one soldier being killed and many injured during the process, and replaced by the Mother Armenia statue, designed by Ara Harutyunyan. "Mother Armenia" has a height of , thus making the overall height of the monument , including the pedestal. The statue is built of hammered copper while the pedestal-museum is of basalt.
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Frénicle's text provided a number of examples on how his rules ought to be applied. He proposed the problem of determining whether or not a given integer can be the hypotenuse of a right-angled triangle (it is not clear if Frénicle initially intended the other two sides of the triangle to have integral length). He considers the case where the integer is 221 and promptly applies his second rule, which states that "if you do not know, even generally, what is proposed, find its properties by systematically constructing similar numbers." He then goes on and exploits the Pythagorean Theorem.
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East arcade between the chancel and south chapel The nave arcades run through to corresponding chancel arcades separating the north and south chancel chapels from the chancel. The chancel three-bay north arcade is 14th-century Decorative, with piers quatrefoil in section separated by right-angled projections running full length, and with flat raised fillets along each face. The capital gadrooned (convex and concave) raised acabi mouldings follow the lateral line of the cusped piers. The 15th-century arcade arches springing from the piers are also of a continuous Decorative multi-faceted moulding with a flat under-face.
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Its major structures were the 202 metre-long Deisel Tunnel between Trendelburg and Wülmersen that passed through the Kesselberg mountain, thus avoiding the Diemel valley flood plain, and a triple-arched viaduct over the Holzape, one of the streams that starts in the Reinhardswald. Stations were opened at Trendelburg (population of 1,014 at the opening of the line) and Helmarshausen (1,207) and Carlshafen (1,652 in the inner town). The line ran parallel to the Diemel through Karlshafen to the Weser port. The right-angled turn between the approach line and the Weser quay was overcome by two turntables.
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12, 14, 32. Since at least the first century BC, Pythagoras has commonly been given credit for discovering the Pythagorean theorem, a theorem in geometry that states that "in a right-angled triangle the square of the hypotenuse is equal [to the sum of] the squares of the two other sides"—that is, a^2 + b^2 = c^2. According to a popular legend, after he discovered this theorem, Pythagoras sacrificed an ox, or possibly even a whole hecatomb, to the gods. Cicero rejected this story as spurious because of the much more widely held belief that Pythagoras forbade blood sacrifices.
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This new configuration was a 2+2 design with a right-angled rear bench seat and far more luggage space than in the roadster. Relatively few components differed, although the MGB GT did receive different suspension springs and anti-roll bars and a different windscreen which was more easily and inexpensively serviceable. In 2019, Road & Track named the GT one of the "16 of Pininfarina's Most Beautiful Designs That Aren't Ferraris." Although acceleration of the GT was slightly slower than that of the roadster, owing to its increased weight, top speed improved by to because of better aerodynamics.
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The leaves of Trochodendron postnastae are between long, an acute apex and leaf base which is acute to nearly right-angled. With a maximum lamina width of the leaves have a length to with ratio of up to 2.7:1 and an elliptical outline. Unlike the older T. nastae leaves which are basally acrodromous with no pinnate secondary veins, T. postnastae leaves are pinnately acrodromous. Two large secondary veins branch from the very base of the primary vein and run parallel to the leaf margin before joining the first pinnate secondary, which is craspedodromous, running from the primary vein to the leaf margin.
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The forewings are whitish ochreous, the costa suffused with white anteriorly and there is an elongate-triangular blackish blotch on the middle of the costa, as well as a wedge-shaped black costal blotch from just beyond this to near the apex, cut by a fine white subterminal line from three-fourths of the costa to the tornus, right angled in the middle and marked with a black dash on the angle. The apical area beyond this is brownish tinged, with some whitish suffusion towards the apex and along the termen. The hindwings are grey.Transactions of the Entomological Society of London.
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Trees in front of Withymoor Wood Beavan's Hill is a village in south east Herefordshire, England. The village is situated on the edge of Withymoor Wood, an area of ancient woodland,Herefordshire Council - Draft Unitary Development Plan - Nature Conservation and Geological Sites (pdf) retrieved 2006-06-24 and on comparatively high ground forming the watershed between the rivers Wye and Severn. The village is near junction 3 of the M50, one of the first motorways built in Britain. The slip roads on the junction end in right angled turns which often surprise motorists used to the more gradual, modern junction designs.
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Rangaunu harbour and Rangiputa settlement The Karikari Peninsula on the east coast of the far north of Northland is between Rangaunu Harbour to the west, and Doubtless Bay to the southeast. It is a right-angled land mass of two relatively distinct parts. The rocky northern part, which has an east–west orientation and is approximately 17 km long, was originally an island but is now connected to the mainland by a low sandy tombolo approximately 11 km long, which has a north–south orientation. The spiritually significant Puwheke sits high above the north-facing beaches.
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The land of the village is a mostly rural and wooded right-angled triangle of land (irregular in shape) commencing with the A2 road between Canterbury and Dover on its north-east border, with its housing grouped among wooded hills and pasture of the village. Elevations range between 138 feet (42m) in the north to 427 feet (130m) in the south-west. Barham Downs are wooded hills north-west of the village centre. The Nailbourne, a tributary of the Little Stour, rises in Lyminge and flows intermittently in line with the seasons and rainfall through the centre of the village.
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The tomb is a cylindrical tower in the inside and a thirty-two right-angled triangular flanges or columns on the outside. Made of high-quality baked bricks assembled in a hazarbaf (decorative brickwork, literally meaning "thousand weaving") decorative pattern, the flanges ascend from the plinth until they meet the cornice that supports the canonical roof with corbelled groin arches. Between the upper end of the flanges and the small groin arches above them runs an inscription band paralleling the zigzag shape of the flanges. The cornice displays fine tile work alternating between unglazed and glazed terracotta in light blue.
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A map showing the Blackheath ward of Lewisham Metropolitan Borough as it appeared in 1916. Blackheath Park (mainly opulent housing) and 1930s houses with gardens occupies almost all of former Wricklemarsh Manor.In 1669, Sir John Morden, 1st Baronet purchased it for £4,200; the mansion and were sold in 1783 by Sir Gregory Page-Turner, 3rd Baronet for £22,000 to John Cator. Developed into upper middle class homes by John Cator it forms the south-east of Blackheath: from Lee Road, Roque Lane, Fulthorp Road and the Plantation to all houses and gardens of right-angled Manor Way.
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Topographical map of the region A long chain of mountains extends generally somewhat north of west from Mount Everest whose west ridge descends to the col of Lho La () before rising to Khumbutse (). The ridge drops to an unnamed col at and then ascends to Lingtren from where it continues to another unnamed col at and then to Pumori (). Bounded on the north by this chain of mountains is the Western Cwm in Nepal down which the Khumbu Glacier descends to the northwest over the Icefall before it turns sharply southwest. Lingtren lies at the apex of this right-angled bend.
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Source pond of the Schutter The Schutter rises at Hünersedel in the Black Forest above Schweighausen at a height of 680 metres, but really begins in the village of Schweighausen at the confluence of two little brooks, the Geisbergbach and the Lohbach. Their source was enclosed in 1904 by the Lahr Branch of the Black Forest Club as called the Schutterquelle. The Schutter initially flows westwards, then, after an almost right-angled bend, northwards through the municipalities of Schuttertal and Seelbach. It then flows increasingly in an arc towards the west again and passes through the borough of Lahr.
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It was a right-angled, two-naved building aligned east-west with a three-sided quire at the east end of the north nave, and a tower abutting it at the east end of the south nave. The church that stands today is a simpler building aligned towards the north with a three-sided quire onto which a hefty tower, which was made taller in 1857, is joined, and whose lower level may well go back to a mediaeval defensive tower. After the interior renovation in 1959, the inside of the church changed markedly, in three phases.
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This tunnel enables the water in the reservoir to equalise with the water level in the shaft. From the bottom of the shaft, two wooden chutes (Holzgerenne) lead to the downstream side of the dam base. These chutes, made of oak, have a right-angled cross-section of about 25 × 25 cm and feature a valve on the bottom of the shaft that operates in a similar way to the type of bathplug that is closed from below. This valve can be pushed up or pulled shut using a rod operated from the control hut or Striegelhaus positioned above the shaft.
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Janák studied with Otto Wagner in Vienna between 1906 and 1908, and worked in Prague under Jan Kotěra. In 1911, with the publication of an article The Prism and The Pyramid advocating dynamic architectural compositions and destabilizing traditional right-angled buildings, Janák became the leading theoretician of Czech Cubism. Of the three Czech cubists—Janák, Josef Chochol and Josef Gočár—Janák built fewer buildings and produced more theoretical work, but his 1913 Fara House in Pelhřimov is a key work in that style. After 1918 Janák and Gočár developed Cubism into Czech Rondocubism, with decoration taken from folk and nationalist themes, and then subsequently into a purer functionalism.
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A Porro–Abbe prism A Porro–Abbe prism (sometimes called a Abbe–Porro prism), named for Ignazio Porro and Ernst Abbe, is a type of reflection prism used in some optical instruments to alter the orientation of an image. It is a variant of the more common double Porro prism configuration. It is made from a piece of glass shaped like four right-angled reflecting prisms joined face-to-face in a twisted fashion. Light enters one flat face, is internally reflected four times from the sloping faces of the prism, and exits the second flat face offset from, but in the same direction as the entrance beam.
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In 2007 the Hunslet Engine Company announced that it was developing a new shunter type, with a family of diesel hydraulic designs (B, C or B'B' axle arrangement) up to 100 tonnes posited for future development, in 2008 manufacture of the first model - a 60tonne, 3 axle machine began. The first locomotive of type DH60C was unveiled at Chasewater Railway in July 2010. The locomotive applied modern design principles to a shunter designed for the UK market; the locomotive has swing arm/coil spring suspension, with vertical hydraulic damping, and pneumatic brakes. The transmission is via a hydrodynamic converter and cardan drive shafts to right angled gearbox drives on each axle.
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Circumstances were only worse in the family circle. With around four hundred patrons seated there, it was served by a single, long stairway to street level. In the stairs leading off the gallery platform, there were two right-angled turns and two long passages. At , it was wider than most gallery passages of that era,'John P. Smith Testifies' "The Inquest: Inquiry into the Cause of Three Hundred Deaths (part 1)" Brooklyn Daily Eagle December 14, 1876 page2 column 8 but with smoke accumulating under the ceiling and the family circle located in the highest reaches of the theatre, there was an urgency for everyone to leave.
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401, 404. There is some debate amongst historians as to whether this roof was a hammerbeam design, a collar and truss-brace design, or a combination of the two.An example of the combination of the curved hammerbeam and right-angled collar and truss-brace design can be seen in this depiction of the roof of Westminster Hall. There was an early attempt at symmetry in the external appearance of the great hall – the Strong and Saintlowe Towers architecturally act as near symmetrical "wings" to the hall itself, while the plinth of the hall is designed to mirror that of the great tower opposite it.
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Abu Al-Wafa' was the first to build a wall quadrant to observe the sky. It has been suggested that he was influenced by the works of Al-Battani as the latter describes a quadrant instrument in his Kitāb az-Zīj. His use of tangent helped to solve problems involving right-angled spherical triangles, and developed a new technique to calculate sine tables, allowing him to construct more accurate tables than his predecessors. In 997, he participated in an experiment to determine the difference in local time between his location and that of al-Biruni (who was living in Kath, now a part of Uzbekistan).
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Finest Landscapes, The Isle of Wight Area of Outstanding Natural Beauty Partnership Newsletter, Issue 13, citing The Place-Names of the Isle of Wight, A D Mills. It is reached from a car park on the A3055 coastal road, where a stream running parallel to the cliff takes a right-angled bend to descend to the beach.The Jurassic isle of England, Chris Fautley, The Sunday Times, 2 July 2000 In the past, descent to the beach at Whale Chine could be achieved by some 126 wooden steps, since their closure in 2005, these steps were washed away by the sea in the winter storms of 2013/14.
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Following the end of commercial traffic and the growth of leisure boating, the locks reverted to operation by boat crews, and in order to prevent flooding caused by incorrect operation of the paddles, in the 1980s the gates were removed from the northernmost lock, and a weir and spillway were constructed at the lower end. Below the lock, the canal turns through a right-angled bend and is carried over the railway lines into Kings Cross station by an iron aqueduct. In 1939, stop locks were installed at both ends of the aqueduct, to limit damage to the railway in the event of damage to the structure by bombing.
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Nasīr al-Dīn al- Tūsī was the first to treat trigonometry as a mathematical discipline independent from astronomy, and he developed spherical trigonometry into its present form. He listed the six distinct cases of a right-angled triangle in spherical trigonometry, and in his On the Sector Figure, he stated the law of sines for plane and spherical triangles, discovered the law of tangents for spherical triangles, and provided proofs for both these laws. Knowledge of trigonometric functions and methods reached Western Europe via Latin translations of Ptolemy's Greek Almagest as well as the works of Persian and Arab astronomers such as Al Battani and Nasir al-Din al-Tusi.
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Jaffé, 158; Hale, 722; Nichols, 8; Rosand, 60–61 On the left, standing and completing a right-angled triangle of the human figures,Rosand, 61 is Mary Magdalene, who unlike the other figures seems to be in motion. Whether she has just arrived on the scene, or is rushing away in horror is unclear.Nichols, 7 thinks the latter The two statues at the sides of the grand niche in the background are Moses on the left and the Hellespontine Sibyl on the right, both identified by inscriptions on their pedestals. The Sibyl was thought to have prophesied the coming of Christ and his crucifixion.
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This gave him another attack element, an underlying structure of interest to support and give point to his sensuous and precisely weighted color. He did a body of black and white in the early 70s – using only black acrylic on a white gesso ground – a compositional motive emerged as be reduced a complicated image to its essence. The painted areas became the negative space while the original white ground became bold jagged lines piercing the blackness award for one of these paintings. Boardman’s canvas remains flat because of its right – angled edges, but the color planes often seem to bend and twist in space.
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The following applications of shear mapping were noted by William Kingdon Clifford: :"A succession of shears will enable us to reduce any figure bounded by straight lines to a triangle of equal area." :"... we may shear any triangle into a right-angled triangle, and this will not alter its area. Thus the area of any triangle is half the area of the rectangle on the same base and with height equal to the perpendicular on the base from the opposite angle."William Kingdon Clifford (1885) Common Sense and the Exact Sciences, page 113 The area-preserving property of a shear mapping can be used for results involving area.
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Following the taste of the times, the park was designed in the Romanticist style. The Triton fountain from the Islet Garden of Aranjuez and the Fountain of the Shells from the Palace of the Infante Luis at Boadilla del Monte were aligned in the center of the right angled pathways by Isabel II, according to plans by Narciso Pascual Colomer. Under the regency of Maria Christina of Austria, the park was reformed according to Ramon Oliva's romanticism plans. Between the Fountain of Tritons and the palace is The Large Cavern or Grotto (Camellia House), built by Juan de Villanueva during the reign of Joseph Bonaparte.
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Therefore in sketch c we see that using the principle of similar triangles, given that each triangle has identical angles, the sides will be in proportion: x the distance to the object in proportion to x', the height set on the vertical scale of the hypsometer, and h the height of the object above the observers eye-line in proportion to h', the reading from the horizontal scale of the hypsometer. Given that Tan (small yellow angle) = Opposite Side / Adjacent Side, therefore Tan (small yellow angle) = h / x = h' / x'. Therefore h = h'x / x'. Likewise the geometry involved in step 2 results in sketch d: two right angled triangles.
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The east of Blackstone Street turning into Blackstone Lane at Wicks Farm Cottage Blackstone is east from the city and county town of Chichester, south-east from the district town of Horsham, and north from the village of Woodmancote. The settlement is centred on Blackstone Street, a right angled section of Blackstone lane that runs south to Woodmancote village and north to Henfield Road at High Cross in the parish of Albourne. Blackstone sits on a sandstone knoll at the geographic centre of Woodmancote parish. At the extreme east of Blackstone Street, at Wicks Farm Cottage, is a public bridleway which runs south for then west for to meet Blackstone Lane.
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The mining methods that could be used were limited by the steep, almost vertical, lenticles of ore, which were only a few metres wide, but dipped for several hundred metres into the earth. Hauling shafts were usually positioned in centre of the ore allotment on the lode and followed it into the ground. This resulted in inclined shafts with their characteristic, right-angled, longitudinal sections and frequent changes of angle away from the vertical. There were two reasons for this approach: firstly, it had to be possible to extract ore from the beginning (as soon as the shaft was sunk) in order to make the pit economic as early as possible.
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The two main wheels were attached, by two forked brackets, to the vertical members of a transverse rectangular chassis made of steel tubing, which transferred the weight of the engine at rest through the wheels to the ground. Each wheel was mounted behind its respective vertical member via two swivelling forked brackets, one horizontal and one sloping upwards at approximately 30 degrees, so that the two brackets and the vertical frame member formed a right-angled triangle. A helical compression spring on the vertical tube above the diagonal bracket provided a degree of sprung suspension while allowing the wheels, which were not steerable, to swivel independently.Macfie (Part 1), p.154.
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Victor Hugo, who lived on Guernsey, and who wrote much about the Channel Islands says in his novel, The Laughing Man (L'Homme qui Rit): > ...on the port bow arose, standing stark, cut out on the background of mist, > a tall opaque mass, vertical, right-angled, a tower of the abyss. It was the > Ortac rock. The Ortac, all of a piece, rises up in a straight line to eighty > feet above the angry beating of the waves... An immovable cliff, it plunges > its rectilinear planes apeak into the numberless serpentine coils of the > sea. At night it stands an enormous block, resting on the folds of a huge > black sheet.
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The United States Grand Prix had a new destination, this time in the hot desert city of Phoenix, Arizona. It was a new place, but the same old dirty and dusty street circuits, and while considerably wider, faster and less bumpy than both Detroit and Dallas, the mostly right angled turns gave the drivers few reference points for when to use their brakes. The dreadfully hot 100+ degree dry desert summer heat of Phoenix also made conditions trying; the track broke up during the race. Senna made the most of his skill and scored another pole, Prost again playing second fiddle by over a second.
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The northern old town is the area between today's Berliner Straße and the Staufenmauer, the former course of which can be seen on the Graben streets (Hirschgraben, Holzgraben). It is the area that the city gained through the second expansion in the 12th century. In contrast to the older part in the area of the former Carolingian Palatinate, which has an irregular road network, the northern old town had an almost right-angled road structure. Most of the northern part of the old town was destroyed on June 26, 1719 during the "Great Christian Fire" (eight years earlier to distinguish it from the "Great Jewish Fire" in Judengasse).
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Traffic lights can have both positive and negative effects on traffic safety and traffic flow. The separation of conflicting streams of traffic in time can reduce the chances of right-angle collisions by turning traffic and cross traffic, but they can increase the frequency of rear-end crashes by up to 50%.National Cooperative Highway Research Program, Crash Reduction Factors for Traffic Engineering and Intelligent Transportation System (ITS) Improvements: State-of-Knowledge Report, November 2005, Table 3 Since right-angled and turn-against-traffic collisions are more likely to result in injuries, this is often an acceptable trade-off. They can also adversely affect the safety of bicycle and pedestrian traffic.
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Plans of Harriet Lane Harriet Lane measured 177.5 feet long, 30.5 feet wide and 12 feet from the bottom of the hull to the main deck. Her propulsion was a double-right-angled marine engine with two side paddles, supported by two masts; the entire ship was sheathed and fastened with copper. From stern to bow, the captain's cabin and stateroom sat above an aft magazine, forward of which was a second magazine with the officer quarters above. Forward of this, in the midships was the engine machinery and coal supply, and beyond this the quarters and galley for the non-commissioned ranks which sat above a third magazine.
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Due to the constraints of the revised architectural plans, Joen Jacobsen had to be creative with his carpentry techniques. Since timber framing techniques were not yet commonplace, Jacobsen was constrained to building with logs that were paneled with cut planks on the exterior walls. However, the plans specified right-angled corners, which, while easy to achieve with other materials, was more difficult with wood, since the common saddle notch joint left excess wood protruding from either side of the corners. Subsequently, Jacobsen took advantage of precise cutting techniques from the sawmills in Skien to make use of lap joints () for the logs, almost half a decade before the technique was in common use.
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The Conservators had retaliated by reducing the water supply to the canal. Litigation followed, and the Grand Western Canal company, having decided that a direct connection to the Bridgwater and Taunton Canal was a better option, had succeeded in purchasing the land required by agreement with landowners. Meanwhile, as a result of the litigation, an Act of Parliament was obtained in 1832 which required the Bridgwater and Taunton Canal to build a link between the Tone and the Grand Western Canal. This was built in 1834, leaving the Tone below French Weir, and heading north-west to Frieze Hill, where there was a right-angled connection to the line of the canal.
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Cerconota horometra is a moth of the family Depressariidae. It is found in Peru."Cerconota Meyrick, 1915" at Markku Savela's Lepidoptera and Some Other Life Forms The wingspan is about 25 mm. The forewings are whitish closely irrorated fuscous with several suffused dark brown lines, one slightly curved subdorsal from the base to the tornus, two parallel oblique from the costa before one-third and at the middle running into this, one from the costa at three-fourths running into the second of these below the middle, one rising out of this above the middle, running halfway to the termen, then right-angled to the subdorsal line near the tornus, and one around the apex and termen.
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The A498 descends the Nant Gwynant Pass via a 1¾ miles section with limited width and poor alignmentThere is a steep descent of Nantgwynant and some 1¾ miles of this is on a substandard, narrow twisting alignment, where larger vehicles have difficulty in passing. There are further substandard sections in the Aberglaslyn Pass and towards Tremadog and coaches have had difficulty passing in this section. The road passes through Beddgelert by way of a sharp right angled bend over a river bridge, not recommended for articulated vehicles. In the Aberglaslyn Pass the trackbed of the Welsh Highland Railway, now being reconstructed, can be seen on the opposite side of the Afon Glaslyn.
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A short distance past the church is Nutgrove Avenue, widened and extended during the 1960s to link up with Churchtown. The old quiet tree shaded avenue has been completely swept away, along with the narrow lanes, a cramped passage bounded on both sides by towering walls and full of right angled bends, which wended its crooked course between Loreto Convent cemetery and the garden of Nutgrove House. A massive gateway stood at the entrance to this avenue until about 1911, which bore the inscription Nutgrove School Established 1802. In 1839 the school was under the supervision of Mr. Philip Jones, who continued to hold the post of principal until 1866 when the position was held by Mrs.
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The circle and the triangle are equal in area. To square the circle, Archimedes gave the following construction: > Let P be the point on the spiral when it has completed one turn. Let the > tangent at P cut the line perpendicular to OP at T. OT is the length of the > circumference of the circle with radius OP. Archimedes had already proved as the first proposition of Measurement of a Circle that the area of a circle is equal to a right-angled triangle having the legs' lengths equal to the radius of the circle and the circumference of the circle. So the area of the circle with radius OP is equal to the area of the triangle OPT.
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However, this idealised account does not quite reflect the reality of the tunnel; where the two sides meet is an abrupt right angled join, and the centres do not line up. It has been theorized that Hezekiah’s engineers depended on acoustic sounding to guide the tunnelers and this is supported by the explicit use of this technique as described in the Siloam Inscription. The frequently ignored final sentence of this inscription provides further evidence: "And the height of the rock above the heads of the laborers was 100 cubits." This indicates that the engineers were well aware of the distance to the surface above the tunnel at various points in its progression.
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This, along with the fact that the road to the north of the bridge takes a sharp right-angled turn to avoid a rock face, made it unsuitable for modern vehicles. Despite this, it carried foot and vehicle traffic across the River Spey until 1972, when its function was replaced by a reinforced concrete beam bridge built by Sir William Arrol & Co. which opened in 1970 and carries the A941 road today. Telford's bridge remains in good condition, and is still open to pedestrians and cyclists. The bridge has been given Category A listed status by Historic Scotland and has been designated a civil engineering landmark by the Institution of Civil Engineers and American Society of Civil Engineers.
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Animation of the missing square puzzle, showing the two arrangements of the pieces and the "missing" square Both "total triangles" are in a perfect 13×5 grid; and both the "component triangles", the blue in a 5×2 grid and the red in an 8×3 grid. The missing square puzzle is an optical illusion used in mathematics classes to help students reason about geometrical figures; or rather to teach them not to reason using figures, but to use only textual descriptions and the axioms of geometry. It depicts two arrangements made of similar shapes in slightly different configurations. Each apparently forms a 13×5 right-angled triangle, but one has a 1×1 hole in it.
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A cabin in 1963, after the first renovation. alt=A diagram showing a cross-section of the funicular's ascent, a right-angled triangle roughly three times as long as it is high, with the minor variations in the actual land slope shown against the hypotenuese of the funicular's constant gradient When the contract expired, the Mayor of Paris and the Seine Department charged the (STCRP) with running the service and modernising the infrastructure. The rack system was deemed too dangerous and so the initial system was shut down; operations ceased on 1 November 1931. The water-driven system was replaced by two electrically driven cabins and reopened on 2 February 1935 after an interruption of more than three years.
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Its plan took the form of a right-angled triangle, with an octagonal tower at each corner, sited on the very edge of the sea. Llanerchaeron One of Nash's most important developments was a series of medium-sized country houses that he designed in Wales; these developed the villa designs of his teacher Sir Robert Taylor. Most of these villas consist of a roughly square plan with a small entrance hall with a staircase offset in the middle to one side, around which are placed the main rooms, there is then a less prominent servants' quarters in a wing attached to one side of the villa. The buildings are usually only two floors in height, the elevations of the main block are usually symmetrical.
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The Commissioners published their plan in March 1811 in the form of an mapredrawn by the otherwise little known William Bridges from Randel's original, and engraved by Peter Maverickwith an accompanying 54-page pamphlet.A fairly large-scale fold-out version of the map can be found at Ballon, pp.34–36, and a zoomable version is available online at "Map of the city of New York and island of Manhattan as laid out by the commissioners appointed by the Legislature, April 3, 1807" New York Public Library Digital Collections The grid had 12 primary north–south avenues and numerous cross streets arranged in a regular right-angled grid tilted 29 degrees east of true north to roughly replicate the angle of Manhattan island.Koeppel (2015), p.
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Kot Ghulam Muhammad Bhurgari Taluka is an important and biggest taluka of District Mirpurkhas, it is situated on Mirpurkhas loop and it is also connected by road with Mirpurkhas, being at 30 miles from Mirpurkhas. Kot Ghulam Muhammad city has got one Government Boys Higher Secondary School, one Government Girls Higher Secondary School, Primary Boys /Girls Schools and in private sector Ghazali Vision Higher Secondary School. A Taluka headquarter hospital and many dispensaries and Basic Health Units are covering the health needs of the entire town area. Though town is old one but it is well planned, almost all-street crosses are right angled, buildings are of pucca brick, and main roads are mettle and street bricks paved and C.C Roads.
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Cromie gave the interior up-to- date features such as inlaid lighting and underfloor heating, and themes such as two-tone colour schemes and wooden fixtures are found throughout. The ground floor has extensive areas of tiling in contrasting colours; most light fittings are partly of wood, and some have multiple branches; the doors are panelled with two-tone wood; some walls have hardwood panels; and pargeting, fluting and decorative mouldings are also visible. The staircase has an ornate chandelier, but its main point of interest is the unusual design of the balusters: a series of right-angled stepped blocks linked by four concentric quarter-circles of bronze. There are other bronze fixtures as well, and some marblework on the ground floor.
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The outline of Hackney's traditional boundary resembles a right-angled triangle with the right-angle in the SW and the Lower Lea Valley, running NW-SE forming the hypotenuse. The western boundary is based on the N-S axis of the Roman A10, though the sub- district of De Beauvoir Town lies beyond it, as do small areas of Dalston and Stamford Hill. The district's southern boundary follows the Regents Canal- Hertford Union Canal in part, and for the remainder marches a little to the north of it, with Victoria Park also forming part of the southern boundary. The highest points around Stamford Hill and Clapton Common are over 30m AOD, with the lowest areas being along the River Lea.
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The forewings are pale brownish ochreous, towards the apex yellowish tinged and with a dark fuscous patch extending along the costa from the base to two- thirds, not reaching halfway across the wing, the lower edge with two short darker rounded prominences before the middle, the posterior edge straight, oblique. There are a few variable scattered dark fuscous dots or dashes between this and the dorsum, as well as a fine whitish fuscous-edged line from three-fourths of the costa to the dorsum before the tornus, right-angled above the middle with the arms subsinuate. A whitish streak is found along the costa towards the apex, edged with fuscous beneath. There is also a small dark metallic-bronze spot on the termen beneath the middle.
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The forewings are grey or pale greyish ochreous, somewhat tinged with fuscous towards the dorsum and with a black dot beneath the fold at one-fourth. The plical and second discal stigmata are blackish and there is a thick blackish streak along the costa from two-fifths to the apex, attenuated anteriorly, cut by a fine white very oblique strigula from the costa beyond the middle. There is a fine black dash in the disc beyond the second discal stigma, not reaching the subterminal line and there is sometimes a blackish mark on the dorsum before the subterminal line. A fine whitish subterminal line is found from three-fourths of the costa to the tornus, right angled in the middle, both portions straight.
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All agreed that the best defence was to hold the high ground on the ridges of the peninsula. There was disagreement as to where the enemy would land and hence where to concentrate forces. Lieutenant Colonel Mustafa Kemal was familiar with the Gallipoli peninsula from his operations against Bulgaria in the Balkan Wars and forecast that Cape Helles (the southern tip of the peninsula) and Gaba Tepe were the likely areas for landing. Mustafa Kemal believed that the British would use their naval power to command the land from every side at the tip of the peninsula; at Gaba Tepe, the short distance to the eastern coast meant that the Allies could easily reach the Narrows (the right-angled bend in the middle of the Dardanelles).
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The flag of Iceland () was officially described in Law No. 34, set out on 17 June 1944, the day Iceland became a republic. The law is entitled "The Law of the National Flag of Icelanders and the State Arms" and describes the Icelandic flag as follows: > The civil national flag of Icelanders is blue as the sky with a snow-white > cross, and a fiery-red cross inside the white cross. The arms of the cross > extend to the edge of the flag, and their combined width is , but the red > cross of the combined width of the flag. The blue areas are right angled > rectangles, the rectilinear surfaces are parallel and the outer rectilinear > surfaces as wide as them, but twice the length.
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Philo expressly connected the "unequalled virtues" of the pentecontad calendar with the Pythagorean theorem, further describing the number fifty as the "perfect expression of the right-angled triangle, the supreme principle of production in the world, and the 'holiest' of numbers". Tawfiq Canaan (1882–1964) described the use of such a calendar among Palestinians in southern Palestine, as did his contemporary Gustaf Dalman, who wrote of the practices of Muslim agriculturalists who used Christian designations for the fiftieth day, "which in turn overlaid far more ancient agricultural practices: grape-watching, grape-pressing, sowing, etc." Julius Morgenstern argued that the calendar of the Jubilees has ancient origins as a somewhat modified survival of the pentecontad calendar.Jonhatan Ben-Dov, The_History_of_Pentecontad_Time_Periods (I), in: A Teacher for All Generations.
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Another proposed solution is to question one of the assumptions Zeno used in his paradoxes (particularly the Dichotomy), which is that between any two different points in space (or time), there is always another point. Without this assumption there are only a finite number of distances between two points, hence there is no infinite sequence of movements, and the paradox is resolved. According to Hermann Weyl, the assumption that space is made of finite and discrete units is subject to a further problem, given by the "tile argument" or "distance function problem". According to this, the length of the hypotenuse of a right angled triangle in discretized space is always equal to the length of one of the two sides, in contradiction to geometry.
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In chapter 3 Ptolemy unites his interests in astrology and geography, to outline the astrological associations of "our inhabited world". Maps based on Ptolemy's Geographica show Ptolemy's definition of the inhabited world as (roughly) extending from the equator to latitude 66°N, covering the land mass between the Atlantic Ocean and East China Sea.A footnote in the Robbins edition offers Jerome Cardan’s explanation that Ptolemy’s "inhabited world" was conceived "as a trapezium, narrower at the top (north) than the bottom, and bounded by arcs; this is divided into quadrants by north-south and east- west lines. The 'parts closer to the centre' are then marked off by lines joining the ends of the two latter, dividing each quadrant and producing 4 right-angled triangles at the centre".
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In the late 11th century, Omar Khayyám (1048-1131) solved cubic equations using approximate numerical solutions found by interpolation in trigonometric tables. In the 13th century, Nasīr al-Dīn al- Tūsī was the first to treat trigonometry as a mathematical discipline independent from astronomy, and he developed spherical trigonometry into its present form. He listed the six distinct cases of a right-angled triangle in spherical trigonometry, and in his On the Sector Figure, he stated the law of sines for plane and spherical triangles, discovered the law of tangents for spherical triangles, and provided proofs for both these laws. Nasir al-Din al- Tusi has been described as the creator of trigonometry as a mathematical discipline in its own right.
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Bishop’s Ordinariate building in Mostar Bishop’s Ordinariate is a building in Mostar, Bosnia and Herzegovina currently serving as a residence of the catholic Bishop of Mostar and it is situated in the western part of the city. It was built in 1906 and based on the 1902 drawings of Max (Maximilian) David. The building was designed in the spirit of the renaissance revival – an eclectic historical style in architecture at the transition between the 19th and the 20th century on the broader area of Austro-Hungarian territory. The decorative façade and the entire space are incorporated into a compound that reflects dignity and harmony typical of the Renaissance. Bishop’s Ordinariate in Mostar The building consists of very simple right-angled triangle enhanced with the two expressive risalits at the ends of the building.
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Various explanations have been offered as to the reason for this form of settlement including the ethnic origin of the Anglo-Saxon settlers, density of population and the influence of local lords of the manor. Dr Tom Williamson theorised in 2004 that the best explanation is the combination of soil quality and climate which leads to differences in agricultural techniques for exploiting local conditions. Planned settlements can be clearly distinguished from other communities in the late medieval period when landowners began to en masse allocate two rows of new houses set on equal-sized plots of land - burgage plots. At the opposite end of the burgage plot there is often a back lane which gives the original village a regular layout, right-angled development, which can often still be seen today in England.
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The forewings are dark fuscous, with the bases of the scales pale greyish ochreous and two yellow semi-oval dorsal blotches reaching halfway across the wing, the first about one-third, the second on the tornal area. There is a fulvous-yellow line from three-fifths of the costa to the posterior extremity of the second blotch, right angled in the disc, edged with black posteriorly towards the extremities, followed by a leaden streak from the costa, black edged posteriorly towards the costa, expanded beneath into a coppery-tinged spot filling the tornal prominence and marked with a black dot at its apex. The apical prominence beyond this is ferruginous yellow, cut by a short oblique white line near its base, continued along the lower margin to the apex. The hindwings are light grey.
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The bridge is situated 10 km southeast from Shahba, close to the modern road at the foot of the mountain village Nimreh, which was known in the Onomastikon of Eusebius by the name Namara and regarded as an important place (vicus grandis). Here, the bridge crosses the Wadi al-Liwa almost right-angled, making a small bend of 120° at its western end; a slightly elevated causeway continues for about 100 m before trailing off. The bridge is 25 m long, with the eastern section covering the larger part (15 m). Its width of 4.52 m corresponds exactly to that of the Kharaba Bridge.All data: The span of its single arch is 6.73 m, with a rise of 3.10 m, resulting in a slightly less pronounced profile (c.
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Map of waterways in the Berlin region The Charlottenburg Canal, or Charlottenburger Verbindungskanal in German, is a canal in Berlin, Germany. With a former length of , the canal was built between 1848 and 1859, and originally connected the River Spree, in Charlottenburg, with the Berlin- Spandau Ship Canal. The route of canal was north from the River Spree until it passed under the railway bridge carrying the Ringbahn, at which point it turned east along an alignment slightly to the south of that of the more recent Westhafen Canal. After the completion of the latter in 1956, the north–south aligned section of the Charlottenburg Canal was extended to form a right-angled junction with the Westhafen Canal, and the west to east aligned section was closed and filled in.
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Right field seats and row houses with wildcat bleachers before the high fence was installed The stadium was laid out at an angle within its block in the Washington street grid. Thus it was over down the left field line (east) to the bleachers (though this distance was shortened in later years by the construction of an inner fence). The fence also took an unusual right-angled jut into right-center field where a large tree and five houses stood, due to the unwillingness of the owners of the tree and houses to sell to the Senators' owners during construction of the stadium. The right-field fence angled away from the infield sharply, which, in addition to a fence (to block the view from surrounding buildings) about inside the lower, outer wall, meant that relatively few home runs were hit at the stadium.
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Most of the building had a flat-profile roof, except for the central transept, which was covered by a barrel-vaulted roof that stood high at the top of the arch. Both the flat- profile sections and the arched transept roof were constructed using the key element of Paxton's design: his patented ridge-and-furrow roofing system, which had first seen use at Chatsworth. The basic roofing unit, in essence, took the form of a long triangular prism, which made it both extremely light and very strong, and meant it could be built with the minimum amount of materials. Paxton set the dimensions of this prism by using the length of single pane of glass () as the hypotenuse of a right-angled triangle, thereby creating a triangle with a length-to-height ratio of 2.5:1, whose base (adjacent side) was long.
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Anderson's first journalistic job was on the Hornsey Journal after which he joined the News Chronicle. He then tried to establish a soap manufactury in Trinidad, but after that failed he returned to Britain to work at Manchester's journal of the textile industry, the Textile Recorder. He served in the Indian Army and taught gunners trigonometry by writing a manual in Urdu, that he learned in three months, in which he compared the relationship between the sides of a right-angled triangle to that between cousins of various degrees within a family. He was invalided out of the Indian Army in 1944, from whom he refused to accept a disability pension due to the country's poverty, and was then taken on by The Guardian where he became the paper's correspondent at Eisenhower's headquarters in the later period of the Second World War.
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Serpentine lines from Hogarth's The Analysis of Beauty Line of beauty is a term and a theory in art or aesthetics used to describe an S-shaped curved line (a serpentine line) appearing within an object, as the boundary line of an object, or as a virtual boundary line formed by the composition of several objects. This theory originated with William Hogarth (18th-century English painter, satirist, and writer), and is an essential part of Hogarth's theory of aesthetics as described in his 1753 book Analysis of Beauty. According to this theory, S-shaped curved lines signify liveliness and activity and excite the attention of the viewer as contrasted with straight lines, parallel lines, or right-angled intersecting lines, which signify stasis, death, or inanimate objects. In contrast to grand compositional lines, which are regularly found in Baroque or Rococo art, the serpentine line is not primarily dictating the whole composition of a canvas.
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Oxford University Press Modernist architect Le Corbusier gushed that "I insist on right-angled intersections", while Wendy Evans Joseph, another architect, extolled the grid as "embody[ing] something uniquely American, a democratic transparency, accessible and open to all ... a republican ideal, the synthesis of the rural order of the neatly laid out rows and furrows of the farm with the fiercely competitive, chaotic madness of the city."Joseph, Wendy Evans. "Reflection" in Ballon, p.177 Rafael Viñoly, a Uruguayan-born architect, called the grid "the best manifestation of American pragmatism in the creation of urban form," writing: > It is the unified formula that controls and organizes the forces that make > the city what it is, what it was, and what it will become ... In this > compact schema that concentrates prescriptions of scale, density, and > serviceability all in one, the play between public and private interests is > in the inevitable balance that transcends speculation without restricting > liberty.
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Ramon Lull's miliaria in mari, from his 1295 example. : Miliaria in mari = distance sailed × cos(θ) where θ is the angle of difference between the two routes. Using Lull's example, a ship that intended to sail southeast ("Exaloch" is Catalan for "Scirocco") but was instead forced to sail east ("Levant"), then the angle of difference is θ = 45°. After 100 miles on the erroneous route, the miliaria on the intended route is 100 × cos 45° = 70.71. Doubling the sailing on the erroneous route to 200 miles will double the miliaria on the intended route to 141.42 miles (= 200 cos 45°). (Diagramatically, Lull's miliaria in mari is measured by constructing a right- angled triangle by running a cord from the distance sailed on the actual course to the intended course, meeting the latter at a 90° angle). Llull is a little more explicit in his Ars magna generalis et ultima (written c. 1305).Ramom Llull, 1517 ed.
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Then setting one end at the top left corner (A), he lays out the dividers along the ESE ray (= two quarter-winds below the East ray, or horizontal top of the grid) and marks the spot (point B on the diagram). Then using a straightedge ruler draws a line up to the East ray, and marks the corresponding spot C. It is easy to see immediately that a right-angled triangle ABC has been created. The length BC is the alargar (distance from intended course), which can be measured as 46 miles (this can be visually seen as two grid squares plus a bit, that is 20m + 20m and a little bit which can be assessed as 6m by using the dividers and the 20m bar scale). The length AC is the avanzar (distance made good), which is 111 miles – visually, five grid squares and a bit, or (20 × 5) + 11, measured by dividers and scale again.
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Ella's approach to playing the five-eighth position was unique and different from that of any other five-eighth of his era, and involved many obvious characteristics different from those of his five-eighth contemporaries. Gareth Edwards writes in 100 Great Rugby Players that: “Firstly, he stands closer to his scrum-half than most other stand-off halves I have played with or against, so that he pulls back row forwards on him at an angle which makes it hard for them to change direction, once he has released possession, to harass the midfield.” Ella describes the distance from which he stood from the scrum-half in his book Running Rugby, “Generally, I stood about 5 metres from the halfback and about 4 metres behind him. According to the old formula for the right-angled triangle, this means I was no more than 3 metres wide of him.” Relatively straight running was a distinguishable trait associated with Ella's game.
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Sacchi sold the parcel to John Jay - the grandson of the American Founding Father by the same name - that same year, and Jay laid it out as a village which he called "Dearman", after Justus Dearman, and sold lots at auction in New York City starting on April 25, 1850. The organization of the streets into a right-angled grid pattern was criticized by Andrew Jackson Downing, who was at the time the foremost expert on landscape design. Downing condemned the use of the street grid outside of cities and saw the hilly and heavily wooded site of Dearman as particularly suited to his own theories, which called for curvilinear roads and irregular lots which followed the contours of the land. With the frequent steamboat, stagecoach, and train transportation available, he felt that Dearman could have been an ideal suburb, instead of "mere rows of houses upon streets crossing each other at right angles and bordered with shade trees".
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It is located between Stepney to the west and north, Mile End and Bow to the northwest, Poplar to the east, and Canary Wharf and Millwall to the south, and stretches from the end of Cable Street and Butcher Row in the west to Stainsby Road near Bartlett Park in the east, and from West India Dock (South Dock) and the River Thames in the south to Salmon Lane and Rhodeswell Road in the north. The area gives its name to Limehouse Reach, a section of the Thames which runs south to Millwall after making a right-angled bend at Cuckold's Point, Rotherhithe. The west-to-east section upstream of Cuckold's Point is properly called the Lower Pool.Port of London Authority Map of the River Thames, Lower Pool to Limehouse Reach (October 2013 - January 2014); Chandler, The New Seaman's Guide and Coaster's Companion; Henry Wheatley, London Past and Present, 362; Norie, New and Extensive Sailing Directions for the Navigation of the North Sea.
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Remnants of the old mineral railway embankment near Kennedy's Nags Ailsa Craig had two quite separate rail transport systems, one dated from 1886 and supplied coal, oil fuel and provisions to the lighthouse and gas works via the North Port and later the New Jetty and the other transported road stone from the quarries at Kennedy's Nags via the stone crusher to the Quarry Pier. The Northern Lighthouse Board's tramway had a section worked via a powered cableway that hauled wagons up from the North Port and later from the new jetty. This well-built tram line is largely intact and has a gauge of three feet with junction/points at the gas works and a further set of points that led to a siding that ran down parallel to the gable end of the gas works to presumably collect the coal ash for disposal. The main line runs on down to the lighthouse and its ancillary buildings, taking a right-angled bend to run parallel to the southern end of the lighthouse buildings block.
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A tetrahedron is a disphenoid if and only if its circumscribed parallelepiped is right-angled. We also have that a tetrahedron is a disphenoid if and only if the center in the circumscribed sphere and the inscribed sphere coincide.. Another characterization states that if d1, d2 and d3 are the common perpendiculars of AB and CD; AC and BD; and AD and BC respectively in a tetrahedron ABCD, then the tetrahedron is a disphenoid if and only if d1, d2 and d3 are pairwise perpendicular.. The disphenoids are the only polyhedra having infinitely many non-self-intersecting closed geodesics. On a disphenoid, all closed geodesics are non-self-intersecting.. The disphenoids are the tetrahedra in which all four faces have the same perimeter, the tetrahedra in which all four faces have the same area, and the tetrahedra in which the angular defects of all four vertices equal . They are the polyhedra having a net in the shape of an acute triangle, divided into four similar triangles by segments connecting the edge midpoints..
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The lowest longitudinal member, at the point of the V-section, was approximately parallel to the ground when at rest, so that the two upper members sloped gradually from front to rear. To avoid weakening the frame by mortise and tenon joints between the longitudinal members and the struts, the latter abutted against the former and were held in place by right-angled steel brackets, which were bound to the wooden members by strips of Irish linen tape soaked in glue, the glue still being wet when the tape was bound, setting in situ. The corners of the angle brackets were indented at the apex to provide room for a steel pin and also provided with a horizontal slot across the corner, so that a bracing wire could pass through the slot and around the pin, enabling a simple, secure and easily replaceable mounting for the bracing wires which kept the frame in shape. Each of the corners of each triangular set of struts was braced to the diagonally opposite corner of the adjacent set.
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2.7 Ga), and contain parts of some of the oldest cratonic continental crust on Earth. These old cratonic blocks, along with accreted island arc terranes and intraoceanic deposits from earlier Proterozoic and Mesozoic oceans and seaways, were sutured together in the Trans-Hudson Orogen (THO) and resulted in extensive folding and thrust faulting along with metamorphism and hundreds of huge granitic intrusions. Retrieved on 2008-02-11 The THO is a right-angled suture zone that extends eastward from Saskatchewan through collisional belts in the Churchill province, through northern Quebec, parts of Labrador and Baffin Island, and all the way to Greenland as the Rinkian belt and Nagssugtodidian Orogen. Westward it goes across Hudson Bay through Saskatchewan and then extends 90 degrees south through eastern Montana and the western Dakotas, downward through eastern Wyoming and western Nebraska, and is then cut off by the Cheyenne belt - the northern edge of the Yavapai province (see Trans- Hudson Orogen map Retrieved on 2008-02-11 and the THOT Transect map.
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The second largest part went to Sony, who erected their new European headquarters on a triangular site immediately to the north of Daimler-Benz and separated from it by the re-routed Potsdamer Straße. This new Sony Centre, designed by Helmut Jahn, is an eye-catching monolith of glass and steel featuring an enormous tent-like conical roof, its shape reportedly inspired by Mount Fuji in Japan, covering an elliptical central public space up to 102 metres across, and thus differing substantially from Hilmer & Sattler's original plan for the site. Its 26-storey, 103-metre-high "Bahn Tower" is so named because it houses the corporate headquarters of Deutsche Bahn AG, the German state railway system. Surviving parts of the former Hotel Esplanade have been incorporated into the north side of the Sony development, including the Kaisersaal which, in a complex and costly operation in March 1996, was moved in one piece (all 1,300 tonnes of it), some 75 metres from its former location, to the spot that it occupies today (it even had to make two right- angled turns during the journey, while maintaining its own orientation).
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Other variations of the impossible cube combine these features in different ways; for instance, the one shown in the illustration draws all eight joints according to one interpretation of the Necker cube and both crossings according to the other interpretation. The apparent solidity of the beams gives the impossible cube greater visual ambiguity than the Necker cube, which is less likely to be perceived as an impossible object. The illusion plays on the human eye's interpretation of two-dimensional pictures as three- dimensional objects. It is possible for three-dimensional objects to have the visual appearance of the impossible cube when seen from certain angles, either by making carefully placed cuts in the supposedly solid beams or by using forced perspective, but human experience with right-angled objects makes the impossible appearance seem more likely than the reality.. Other artists than Escher, including Jos De Mey, have also made artworks featuring the impossible cube.. A doctored photograph purporting to be of an impossible cube was published in the June 1966 issue of Scientific American, where it was called a "Freemish crate".. An impossible cube has also been featured on an Austrian postage stamp..
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In mathematics the regular paperfolding sequence, also known as the dragon curve sequence, is an infinite automatic sequence of 0s and 1s defined as the limit of the following process: :1 :1 1 0 :1 1 0 1 1 0 0 :1 1 0 1 1 0 0 1 1 1 0 0 1 0 0 At each stage an alternating sequence of 1s and 0s is inserted between the terms of the previous sequence. The sequence takes its name from the fact that it represents the sequence of left and right folds along a strip of paper that is folded repeatedly in half in the same direction. If each fold is then opened out to create a right-angled corner, the resulting shape approaches the dragon curve fractal. For instance the following curve is given by folding a strip four times to the right and then unfolding to give right angles, this gives the first 15 terms of the sequence when 1 represents a right turn and 0 represents a left turn. 800px Starting at n = 1, the first few terms of the regular paperfolding sequence are: :1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, ...
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