How to use authalic in a sentence? Find typical usage patterns (collocations)/phrases/context for "authalic" and check conjugation/comparative form for "authalic". Mastering all the usages of "authalic" from sentence examples published by news publications.
Quartic authalic projection of the world. 15° graticule. In cartography, the quartic authalic projection is an equal-area projection developed by Karl Siemon in 1937 and independently by O.S. Adams in 1944. The meridians in this projection are fourth-order polynomial curves.
|
|
Earth's authalic ("equal area") radius is the radius of a hypothetical perfect sphere that has the same surface area as the reference ellipsoid. The IUGG denotes the authalic radius as . A closed-form solution exists for a spheroid:Snyder, J.P. (1987). Map Projections – A Working Manual (US Geological Survey Professional Paper 1395) p. 16–17.
|
|
Most global mean radii are based on the reference ellipsoid, which approximates the geoid. The geoid has no direct relationship with surface topography, however. An alternative calculation averages elevations everywhere, resulting in a mean radius larger than the IUGG mean radius, the authalic radius, or the volumetric radius. This average is with uncertainty of .
|
|
The authalic (equal area) radius of the Clarke 1866 ellipsoid is . The resulting arcminute is . The United States chose five significant digits for its nautical mile, 6080.2 feet, whereas the United Kingdom chose four significant digits for its Admiralty mile, 6080 feet. In 1929, the international nautical mile was defined by the First International Extraordinary Hydrographic Conference in Monaco as exactly 1,852 metres.
|
|
The formulae in the previous sections give the auxiliary latitude in terms of the geodetic latitude. The expressions for the geocentric and parametric latitudes may be inverted directly but this is impossible in the four remaining cases: the rectifying, authalic, conformal, and isometric latitudes. There are two methods of proceeding. The first is a numerical inversion of the defining equation for each and every particular value of the auxiliary latitude.
|
|
The equal-area Mollweide projection In map projection, equal-area maps preserve area measure, generally distorting shapes in order to do that. Equal- area maps are also called equivalent or authalic. Several equivalent projections were developed in an attempt to minimize the distortion of countries and continents of planet Earth, keeping the area constant. Equivalent projections are widely used for thematic maps showing scenario distribution such as population, farmland distribution, forested areas, etc.
|
|
Triangular world maps are also possible using the same method. The name is derived from "authalic" and "graph". The method used to construct the projection ensures that the 96 regions of the sphere that are used to define the projection each have the correct area, but the projection does not qualify as equal-area because the method does not control area at infinitesimal scales or even within those regions. The AuthaGraph world map can be tiled in any direction without visible seams.
|
|
No results under this filter, show 7 sentences.