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Lambert's projection is the basis for the cylindrical equal-area projection family. Lambert chose the equator as the parallel of no distortion. [2] By multiplying the projection's height by some factor and dividing the width by the same factor, the regions of no distortion can be moved to any desired pair of parallels north and south of the ...
The invention of the Lambert cylindrical equal-area projection is attributed to the Swiss mathematician Johann Heinrich Lambert in 1772. [1] Variations of it appeared over the years by inventors who stretched the height of the Lambert and compressed the width commensurately in various ratios.
Lambert cylindrical equal-area: Cylindrical Equal-area Johann Heinrich Lambert: Cylindrical equal-area projection with standard parallel at the equator and an aspect ratio of π (3.14). 1910 Behrmann: Cylindrical Equal-area Walter Behrmann: Cylindrical equal-area projection with standard parallels at 30°N/S and an aspect ratio of (3/4)π ≈ 2 ...
This projection has many named specializations differing only in the scaling constant, such as the Gall–Peters or Gall orthographic (undistorted at the 45° parallels), Behrmann (undistorted at the 30° parallels), and Lambert cylindrical equal-area (undistorted at the equator). Since this projection scales north-south distances by the ...
The central cylindrical projection is a perspective cylindrical map projection. It corresponds to projecting the Earth's surface onto a cylinder tangent to the equator as if from a light source at Earth's center. The cylinder is then cut along one of the projected meridians and unrolled into a flat map. [1]
Aeronautical chart on Lambert conformal conic projection with standard parallels at 33°N and 45°N. A Lambert conformal conic projection (LCC) is a conic map projection used for aeronautical charts, portions of the State Plane Coordinate System, and many national and regional mapping systems.
There are several projections used in maps carrying the name of Johann Heinrich Lambert: Lambert cylindrical equal-area projection (preserves areas) Lambert azimuthal equal-area projection (preserves areas) Lambert conformal conic projection (preserves angles, commonly used in aviation navigation maps) Lambert equal-area conic projection ...
Most state plane zones are based on either a transverse Mercator projection or a Lambert conformal conic projection. The choice between the two map projections is based on the shape of the state and its zones. States that are long in the east–west direction are typically divided into zones that are also long east–west.