# Mollweide

## Description

Also called Babinet, elliptical, homolographic, or homalographic, Carl B. Mollweide created this pseudo cylindrical projection in 1805. It is an equal-area projection designed for small-scale maps.

## Projection method

Pseudo cylindrical equal-area projection. All parallels are straight lines, and all meridians are equally spaced elliptical arcs. The exception is the central meridian, which is a straight line. The poles are points.

## Linear graticules

The equator and central meridian.

## Properties

### Shape

Shape is not distorted at the intersection of the central meridian and latitudes 40°44' N and S. Distortion increases outward from these points and becomes severe at the edges of the projection.

### Area

Equal area.

### Direction

Local angles are true only at the intersection of the central meridian and latitudes 40°44' N and S. Direction is distorted elsewhere.

### Distance

Scale is true along latitudes 40°44' N and S. Distortion increases with distance from these lines and becomes severe at the edges of the projection.

## Limitations

Useful only as a world map.

## Uses and applications

Suitable for thematic or distribution mapping of the entire world, frequently in interrupted form.

Combined with the Sinusoidal to create Goode's Homolosine and Boggs.

## 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. |

### Mollweide 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

- Longitude of projection center

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. |