Contribution to Book

Mathematical Analysis of Regular Spherical Polygons by using HCR's Theory of Polygon (Spherical Geometry by H.C. Rajpoot)

Applications of HCR's Theory of Polygon
(2015)
Abstract

All the parameters of a regular spherical polygon such as solid angle subtended at the centre, area, length of side, interior angle etc. have been derived by Mr H.C. Rajpoot by using simple geometry & trigonometry. All the formula are very practical & simple to apply in case of any regular spherical polygon to calculate all its important parameters such as solid angle, surface area covered & length of each side etc. & also all the parameters of the corresponding regular plane polygon obtained by joining all the vertices of the regular spherical polygon 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 regular spherical polygon to the centre of sphere such as normal height, angle between the consecutive lateral edges, area of regular polygonal base etc. All these results are also the shortcuts for calculating the various complex problems related to the regular spherical polygons.
Disciplines

Publication Date

Winter January 31, 2015
Publisher Statement

Excellent
Citation Information

Harish Chandra Rajpoot Rajpoot. "Mathematical Analysis of Regular Spherical Polygons by using HCR's Theory of Polygon (Spherical Geometry by H.C. Rajpoot)" *Applications of HCR's Theory of Polygon*(2015)

Available at: http://works.bepress.com/harishchandrarajpoot_hcrajpoot/28/