Van der Grinten I

Description

This projection is similar to the Mercator projection except that it portrays the world with a curved graticule. The overall effect is that area is distorted less than on a Mercator projection, and the shape is distorted less than on equal-area projections.

Learn about the Mercator projection

Projection method

The Van der Grinten I projection is a compromise projection and is not in one of the more traditional classifications.

Linear graticules

The equator and the central meridian of the projection.

Properties

Shape

Distortion increases from the equator to the poles.

Area

Minimal distortion along the equator and extreme distortion in the polar regions.

Direction

Local angles are correct only at the center.

Distance

Scale along the equator is correct.

Limitations

Can represent the world, but the most accurate representation is between the 75^th parallels of latitude.

Uses and applications

Used for world maps—formerly one of the standard world map projection of the National Geographic Society.

Parameters

Desktop

• False Easting
• False Northing
• Central Meridian

Note:

Supported on spheres only.

Van der Grinten I Auxiliary Sphere (Desktop version 9.3 and later)

• False Easting
• False Northing
• Central Meridian
• Auxiliary Sphere Type

Note:

The Auxiliary Sphere Type parameter accepts 0 (use semimajor axis or radius of the geographic coordinate system), 1 (use semiminor axis or radius), 2 (calculate and use authalic radius), or 3 (use authalic radius and convert geodetic latitudes to authalic latitudes).

Workstation

• Radius of the sphere of reference
• Longitude of Central Meridian
• False Easting (meters)
• False Northing (meters)

Note:

Supported on spheres only.