# 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 mapsâ€”formerly one of the standard world map projection of the National Geographic Society.

## Parameters

### Desktop

- False Easting
- False Northing
- Central Meridian

Supported on spheres only.

geographic_coordinate_systems.pdf | A geographic coordinate systems pdf file which contains lists of supported gcs and vcs. |

projected_coordinate_systems.pdf | A projected coordinate systems pdf file which contains lists of supported pcs. |

geographic_transformations.pdf | A geographic transformations pdf file which contains lists of supported geographic and vertical transformations. |

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

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

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)

Supported on spheres only.

geographic_coordinate_systems.pdf | A geographic coordinate systems pdf file which contains lists of supported gcs and vcs. |

projected_coordinate_systems.pdf | A projected coordinate systems pdf file which contains lists of supported pcs. |

geographic_transformations.pdf | A geographic transformations pdf file which contains lists of supported geographic and vertical transformations. |