On the Representation of the Spherical Surface on the Plane

Leonhard Euler

Chapter Chapter 12 in Mathematical Geography in the Eighteenth Century: Euler, Lagrange and Lambert, 2022, pp 243-278 from Springer

Abstract: Abstract In this memoir, Euler studies general mappings from the sphere onto the plane. By studying infinitesimal variations of triangles, he establishes differential equations that are satisfied by such maps. Then he passes to the special case of maps in which the parallels intersect meridians perpendicularly. He applies this study to the Mercator nautical maps, area-preserving maps, and angle-preserving maps.

Date: 2022
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DOI: 10.1007/978-3-031-09570-2_12

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