Geometry

   

Deriving the Spherical Pythagorean Theorem Using Infinitesimal Area

Authors: Russell P. Patera

The Spherical Pythagorean Theorem is derived by performing an infinitesimal rotation of a spherical right triangle about a vertex not containing the right angle. The infinitesimal areas swept out by the sides of the spherical triangle are easily computed and used to derive the Spherical Pythagorean Theorem.

Comments: 3 Pages.

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Submission history

[v1] 2023-06-09 01:11:03

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