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What does equal-area mean?

Looking for the meaning or definition of the word equal-area? Here's what it means.

Adjective
  1. (cartography) Of a map, having the property that equal areas on the map represent equal areas on the mapped surface.
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It is a very suitable projection for an equal-area map of Africa.
Our interest is in the space of affine equivalence classes of equal-area polygons.
The Peters is in a class of map projections, equal-area maps, that show all countries at true size and true proportion.
Observe that opposite sides of these hexagons are parallel, because the equal-area condition requires them to be parallel to a common diagonal.

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