Area preserving maps from the sphere to the Euclidean plane
Charalampos Charitos
Agricultural University of Athens, Greece
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Abstract
We study area-preserving projections from regions of the sphere to the Euclidean plane, in the tradition of Euler. The question is related to Euler's investigations of the problem of cartography, that is, drawing the best possible geographical maps. The distortion from conformality of the projections we study is compared with that of Lambert's cylindrical equal area projection.