A Miller projection of the Earth.Miller projection with 1,000 km indicatrices of distortion.
The Miller cylindrical projection is a modified Mercator projection, proposed by Osborn Maitland Miller in 1942. The latitude is scaled by a factor of 4⁄5, projected according to Mercator, and then the result is multiplied by 5⁄4 to retain scale along the equator.[1] Hence:
or inversely,
where λ is the longitude from the central meridian of the projection, and φ is the latitude.[2] Meridians are thus about 0.733 the length of the equator.
In GIS applications, this projection is known as: "ESRI:54003 – World Miller Cylindrical".[3]
Compact Miller projection is similar to Miller but spacing between parallels stops growing after 55 degrees.[4]
^Flattening the Earth: Two Thousand Years of Map Projections, John P. Snyder, 1993, pp. 179, 183, ISBN 0-226-76747-7.
^"Miller Cylindrical Projection". Wolfram MathWorld. Retrieved 25 March 2015.
The Millercylindricalprojection is a modified Mercator projection, proposed by Osborn Maitland Miller in 1942. The latitude is scaled by a factor of...
between the various "natural" cylindricalprojections. But the term cylindrical as used in the field of map projections relaxes the last constraint entirely...
central cylindricalprojection is a perspective cylindrical map projection. It corresponds to projecting the Earth's surface onto a cylinder tangent to...
The equirectangular projection (also called the equidistant cylindricalprojection or la carte parallélogrammatique projection), and which includes the...
The Mercator projection (/mərˈkeɪtər/) is a conformal cylindrical map projection presented by Flemish geographer and cartographer Gerardus Mercator in...
The Winkel tripel projection (Winkel III), a modified azimuthal map projection of the world, is one of three projections proposed by German cartographer...
The Gall stereographic projection, presented by James Gall in 1855, is a cylindricalprojection. It is neither equal-area nor conformal but instead tries...
possible map projections, there can be no comprehensive list. *The first known popularizer/user and not necessarily the creator. Cylindrical In normal aspect...
which reduced scale errors to 1/50. Mercator projection (conformal cylindricalprojection) Mercator projection of normal aspect (Every rhumb line is drawn...
of a point in cylindrical coordinates or spherical coordinates is the anticlockwise angle between the positive x-axis and the projection of the vector...
The Behrmann projection is a cylindrical equal-area map projection described by Walter Behrmann in 1910. Cylindrical equal-area projections differ by their...
only maps based on the Gall–Peters projection, a similar cylindrical equal-area projection, or the AuthaGraph projection, beginning in the 2024–2025 school...
traits from the normal Mercator: Both projections are cylindrical: for the Normal Mercator, the axis of the cylinder coincides with the polar axis and the...
known as the Babinet projection, homalographic projection, homolographic projection, and elliptical projection. The projection trades accuracy of angle...
The Equal Earth map projection is an equal-area pseudocylindrical projection for world maps, invented by Bojan Šavrič, Bernhard Jenny, and Tom Patterson...
trigonometric identities. In cylindrical coordinates (r, θ, z) on the sphere and polar coordinates (R, Θ) on the plane, the projection and its inverse are (...
Lambert cylindrical equal-area projection. List of map projections Stereographic projection in cartography Snyder, J. P. (1987). Map Projections—A Working...
The azimuthal equidistant projection is an azimuthal map projection. It has the useful properties that all points on the map are at proportionally correct...
gnomonic projection, also known as a central projection or rectilinear projection, is a perspective projection of a sphere, with center of projection at the...
The Robinson projection is a map projection of a world map that shows the entire world at once. It was specifically created in an attempt to find a good...
Global Information
![{\displaystyle {\begin{aligned}x&=\lambda \\y&={\frac {5}{4}}\ln \left[\tan \left({\frac {\pi }{4}}+{\frac {2\varphi }{5}}\right)\right]={\frac {5}{4}}\sinh ^{-1}\left(\tan {\frac {4\varphi }{5}}\right)\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/448dd8b80e38c444b174e3399065fc9f9d7ebe3e)
