Contribution to Book

Mathematical Analysis of Spherical Triangle (Spherical Trigonometry by H.C. Rajpoot)

Applications of HCR's Theory of Polygon & HCR's Inverse Cosine Formula
(2015)
Abstract

All the important parameters of a spherical triangle have been derived by Mr H.C. Rajpoot by using simple geometry & trigonometry. All the articles (formula) are very practical & simple to apply in case of a spherical triangle to calculate all its important parameters such as solid angle, covered surface area, interior angles etc. & also useful for calculating all the parameters of the corresponding plane triangle obtained by joining all the vertices of a spherical triangle by straight lines. These formula can also be used to calculate all the parameters of the right pyramid obtained by joining all the vertices of a spherical triangle to the center of sphere such as normal height, angle between the consecutive lateral edges, area of base etc.
Keywords

- Spherical triangle,
- solid angle subtended at the center,
- area covered by spherical triangle

Disciplines

Publication Date

Winter February 6, 2015
Publisher Statement

Exellent
Citation Information

Harish Chandra Rajpoot Rajpoot. "Mathematical Analysis of Spherical Triangle (Spherical Trigonometry by H.C. Rajpoot)" *Applications of HCR's Theory of Polygon & HCR's Inverse Cosine Formula*(2015)

Available at: http://works.bepress.com/harishchandrarajpoot_hcrajpoot/29/