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The two straight-line distances from any point on the map to the two control points are correct. 2021 Gott, Goldberg and Vanderbei’s Azimuthal Equidistant J. Richard Gott, Dave Goldberg and Robert J. Vanderbei: Gott, Goldberg and Vanderbei’s double-sided disk map was designed to minimize all six types of map distortions.
The scale factor at each pole is adjusted to 0.994 so that the latitude of true scale is 81.11451786859362545° (about 81° 06' 52.3") North and South. The scale factor inside the regions at latitudes higher than this parallel is too small, whereas the regions at latitudes below this line have scale factors that are too large, reaching 1.0016 ...
This makes the left and right bounding meridians of the map into half of a sine wave, each mirroring the other. Each meridian is half of a sine wave with only the amplitude differing, giving the projection its name. Each is shown on the map as longer than the central meridian, whereas on the globe all are the same length.
The azimuthal equidistant projection is an azimuthal map projection. It has the useful properties that all points on the map are at proportionally correct distances from the center point, and that all points on the map are at the correct azimuth (direction) from the center point. A useful application for this type of projection is a polar ...
The history of south-up map orientation as political statement can be traced back to the early 1900s. Joaquín Torres García, a Uruguayan modernist painter, created one of the first maps to make a political statement related to north-south map positions entitled "América Invertida". "Torres-García placed the South Pole at the top of the ...
The projection found on these maps, dating to 1511, was stated by John Snyder in 1987 to be the same projection as Mercator's. [6] However, given the geometry of a sundial, these maps may well have been based on the similar central cylindrical projection, a limiting case of the gnomonic projection, which is the basis for a sundial. Snyder ...
In cartography, a map projection is any of a broad set of transformations employed to represent the curved two-dimensional surface of a globe on a plane. [1] [2] [3] In a map projection, coordinates, often expressed as latitude and longitude, of locations from the surface of the globe are transformed to coordinates on a plane.
The five main latitude regions of Earth's surface comprise geographical zones, [1] divided by the major circles of latitude. The differences between them relate to climate. They are as follows: The North Frigid Zone, between the North Pole at 90° N and the Arctic Circle at 66°33′50.3″ N, covers 4.12% of Earth's surface.