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Geometry |
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Authors: Harish Chandra Rajpoot
This paper presents the derivation of analytical formulae for estimating the solid angle subtended by a circular plane at an arbitrary point in space. The proposed relations are also employed to determine the geometric parameters of the elliptical projection of a circular plane when observed from an off-center position, including the major axis, minor axis, and eccentricity. All mathematical expressions are derived using the Approximation Formula for the Solid Angle of Symmetrical Planes, as developed by the author and presented in his book Advanced Geometry. The resulting formulae provide a simple and effective approach for the approximate evaluation of solid angles and associated projection parameters in related geometric problems.
Comments: 8 Pages. 2 Figures
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[v1] 2026-03-01 22:14:10
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