Geocart Projections

What is a projection?

Previous | Next

Winkel I

Parameters: Standard parallel

Classifications

Geocart menu class: Pseudocylindric
Geocart family: Winkel
Pseudocylindric
Equally spaced parallels
Neither conformal nor equal area

Graticule

Meridians: Central meridian is a straight line 0.61 (or other value) as long as the Equator. Other meridians are equally spaced sinusoidal curves, concave toward the central meridian.
Parallels: Equally spaced straight parallel lines. Perpendicular to the central meridian.
Poles: Lines 0.61 (or other value) as long as the Equator
Symmetry: About the central meridian or the Equator

Scale

True along latitudes 50°28' N. and S. (or other chosen value)
Constant along any given latitude; same for the latitude of opposite sign

Distortion

Not free of distortion at any point

Origin

Developed by Oswald Winkel (1873-1953) of Germany in 1914 as the average of the Sinusoidal and Equirectangular projection in both x and y coordinates. When the standard parallels of the Equirectangular projection are varied, the standard parallels and appearance of Winkel I vary. Use of latitudes 50°28' N. and S. results in a map at the correct total-area scale, but the local-area scale varies.

Limiting form

Eckert V, if the Equator is the standard parallel

Description adapted from J.P. Snyder and P.M. Voxland, An Album of Map Projections, U.S. Geological Survey Professional Paper 1453. United States Government Printing Office: 1989.