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The Eckert II projection is an equal-area
Eckert II at Mapthematicsradicalcartography.netCartographic Projection Procedures (Pdf) by Gerald I. Evenden
{{Map projections Equal-area projections
The Eckert II projection is an equal-area pseudocylindrical
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. In a map projection, coordinates, often expressed as latitude and longitude, of locations ...
map projection
In cartography, a map projection is any of a broad set of Transformation (function) , transformations employed to represent the curved two-dimensional Surface (mathematics), surface of a globe on a Plane (mathematics), plane. In a map projection, ...
. In the equatorial aspect (where the equator is shown as the horizontal axis) the network of longitude and latitude lines consists solely of straight lines, and the outer boundary has the distinctive shape of an elongated hexagon
In geometry, a hexagon (from Greek , , meaning "six", and , , meaning "corner, angle") is a six-sided polygon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.
Regular hexagon
A regular hexagon is de ...
. It was first described by Max Eckert in 1906 as one of a series of three pairs of pseudocylindrical projections. Within each pair, the meridians have the same shape, and the odd-numbered projection has equally spaced parallels, whereas the even-numbered projection has parallels spaced to preserve area. The pair to Eckert II is the Eckert I projection.
Description
The projection is symmetrical about the straightequator
The equator is the circle of latitude that divides Earth into the Northern Hemisphere, Northern and Southern Hemisphere, Southern Hemispheres of Earth, hemispheres. It is an imaginary line located at 0 degrees latitude, about in circumferen ...
and straight central meridian. Parallels vary in spacing in order to preserve areas. As a pseudocylindric projection, spacing of meridians along any given parallel is constant. The poles are represented as lines, each half as long as the equator. The projection has correct scale only on the central meridian at latitudes 55°10′ north and south.
The projection's ''x'' and ''y'' coordinates can be computed as
:
where ''λ'' is the longitude, ''λ''0 is the central meridian, ''φ'' is the latitude, and ''R'' is the radius of the globe to be projected. Here, ''y'' assumes the sign of ''φ''.
See also
*Max Eckert-Greifendorff
Max Eckert (after 1934, Max Eckert-Greifendorff: 10 April 1868 in Chemnitz, Kingdom of Saxony – 26 December 1938, in Aachen) was a German geographer.
Biography
He received his education in Löbau and Berlin, and taught for some time at Löbau a ...
*List of map projections
This is a summary of map projections that have articles of their own on Wikipedia or that are otherwise WP:NOTABLE, notable. Because there is no limit to the number of possible map projections,
there can be no comprehensive list.
Table of proj ...
* Eckert IV projection
*Eckert VI projection
The Eckert VI projection is an equal-area pseudocylindrical map projection. The length of polar line is half that of the equator, and lines of longitude are sinusoids. It was first described by Max Eckert in 1906 as one of a series of three pa ...
References
External links
Eckert II at Mapthematics
{{Map projections Equal-area projections