Talk:Equiareal map

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Removed "example"

Latest comment: 12 days ago1 comment1 person in discussion

An example of an equiareal map, due to Archimedes of Syracuse, is the projection from the unit sphere x² + y² + z² = 1 to the unit cylinder x² + y² = 1 outward from their common axis. An explicit formula is

${\displaystyle f(x,y,z)=\left({\frac {x}{\sqrt {x^{2}+y^{2}}}},{\frac {y}{\sqrt {x^{2}+y^{2}}}},z\right)}$ 

for (x, y, z) a point on the unit sphere.

The mapping given takes a latitude circle to the cylinder, expanding it to unit radius. Such expansion will not preserve areas. — Rgdboer (talk) 21:32, 18 August 2025 (UTC)Reply