Geometry

   

Analytical Computation of the Area of a Spherical Triangle

Authors: Harish Chandra Rajpoot

This paper presents the derivation of the general formula to compute the area of the spherical triangle having each side as a great circle arc on the spherical surface when (1) the aperture angle subtended by each of the three sides at the center of the sphere is known, and (2) the arc length of each of the three sides is known. These formulas are applicable to any spherical triangle to compute the area on the sphere.

Comments: 4 Pages. 1 Figure

Download: PDF

Submission history

[v1] 2026-03-01 22:13:48

Unique-IP document downloads: 83 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus