Mathematical Analysis of Regular Spherical Polygons by HCR
All the parameters of a regular spherical polygon such as solid angle subtended at the center, 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 center 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.
Tags:
Application , HCR , Polygon , REGULAR , Spherical
By:
harishchandraraj
Education
59 months ago
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HCR's Principle of Polygon
This theory had been proposed by H.C. Rajpoot @ his college presently M.M.M. University of Technology, GKP273010 in Oct, 2013, for finding out the solid angle subtended by any polygonal plane at any point in the space. It gives the simplest, easiest & the most versatile methods for calculating the mathematically correct value of solid angle subtended by any plane bounded by the straight lines like triangle, quadrilateral like rectangle, square, rhombus, trapezium etc., any regular or irregular polygon like pentagon, hexagon, heptagon, octagon etc.) at any point in the space. It is the unified theory applied for any polygon by using one standard formula only. This can derive expression for solid angle subtended by any plane bounded by the straight lines. This theory is equally applicable for atomic distances & stellar distances in the Universe.
Tags:
harish , HCRs Theory of Polygon
By:
harishchandraraj
Science & Technology
61 months ago
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