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**About:**

Harish Chandra Rajpoot is B. Tech. graduate of Mechanical Engineering from Madan Mohan Malaviya University of Technology, Gorakhpur (UP) India. He worked on linear permutations & proposed "Theory of Polygon". He derived the simplest formula for all five platonic solids. He worked to analyse Goldberg polyhedra, Archimedean solids and truncated & stellated polyhedra using his own theory. He authored a book Advanced Geometry, on his research articles, first published by Notion Press, India

**Joined:**
06/05/2014

**Website:**
http://hcrajpoot.jimdo.com/

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harishchandraraj uploaded a new presentation "Minimum distance between any two points on spherical surface (globe)"

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Minimum distance between any two points on spherical surface (globe)

This formula has been derived using vectors which gives the correct values of the great circle distance because there is no approximati..

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harishchandraraj uploaded a new presentation "Application of HCR's cosine formula (Spherical Geometry)"

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Application of HCR's cosine formula (Spherical Geometry)

This paper presents the derivation of an analytic formula to calculate the minimum distance or great circle distance between any two ar..

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harishchandraraj uploaded a new presentation "HCR's cosine formula (angle between chords of two great circle arcs)"

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HCR's cosine formula (angle between chords of two great circle arcs)

This paper presents the derivation of a dimensionless formula (angle-angle relation) which is independent of radius of the sphere & hol..

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harishchandraraj uploaded a new presentation "HCR's Inequality for three positive real numbers"

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HCR's Inequality for three positive real numbers

This conditional inequality had been derived from a general formula which always holds true for any three positive real numbers under c..

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harishchandraraj uploaded a new presentation "Volume of tetrahedron bounded by a given plane & the coordinate planes"

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Volume of tetrahedron bounded by a given plane & the coordinate planes

The article here deals with the derivation of a general expression to calculate the volume of tetrahedron/pyramid bounded by a given pl..

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harishchandraraj uploaded a new presentation "Table for the important parameters of snugly fitted (packed) spheres"

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Table for the important parameters of snugly fitted (packed) spheres

Table for the formula generalized by the author to determine the important parameters for snugly packing the spheres in the vertices of..

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harishchandraraj uploaded a new presentation "Mathematical analysis of sphere resting in the vertex of polyhedrons"

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Mathematical analysis of sphere resting in the vertex of polyhedrons

The generalized formula derived here by the author are applicable to locate any sphere, with a certain radius, resting in a vertex (cor..

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harishchandraraj uploaded a new presentation "Table of the important parameters for locating sphere in the vertex"

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Table of the important parameters for locating sphere in the vertex

Table of the generalized formula derived here by the author are applicable to locate any sphere, with a certain radius, resting in a ve..

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harishchandraraj uploaded a new presentation "Solid angle subtended by a beam with rectangular profile (Radiometry)"

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Solid angle subtended by a beam with rectangular profile (Radiometry)

All the articles discussed & analysed here are useful for calculating the important parameters such as solid angle subtended by the bea..

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harishchandraraj uploaded a new presentation "Reflection of a point about a line & a plane in 3-D space"

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Reflection of a point about a line & a plane in 3-D space

All the articles are related to the reflection of any point about a line in 2-D co-ordinate system and about a line & a plane in 3-D co..

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63 months ago

harishchandraraj uploaded a new presentation "Table for uniform trapezohedrons with congruent right kite faces"

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Table for uniform trapezohedrons with congruent right kite faces

Table of the generalized formula applicable on any uniform polyhedron having 2n congruent right kite faces, 4n edges & 2n+2 vertices ly..

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harishchandraraj uploaded a new presentation "Mathematical Analysis of Uniform Polyhedron (Trapezohedron) by HCR"

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Mathematical Analysis of Uniform Polyhedron (Trapezohedron) by HCR

The generalized formula are applicable on any uniform polyhedron having 2n congruent right kite faces, 4n edges & 2n+2 vertices lying o..

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harishchandraraj uploaded a new presentation "Table of solid angles subtended by Archimedean solids by HCR"

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Table of solid angles subtended by Archimedean solids by HCR

Table of solid angles subtended at the vertices by all 13 Archimedean solids (uniform polyhedrons) calculated by the author Mr H.C. Raj..

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harishchandraraj uploaded a new presentation "Solid angles subtended by the platonic solids at their vertices by HCR"

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Solid angles subtended by the platonic solids at their vertices by HCR

The solid angles subtended at the vertices by all five platonic solids (regular polyhedrons) have been calculated by the author Mr H.C...

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harishchandraraj uploaded a new presentation "Mathematical Analysis of Tetrahedron (solid angle by tetrahedron)"

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Mathematical Analysis of Tetrahedron (solid angle by tetrahedron)

All the articles have been derived by the author Mr H.C. Rajpoot by using HCR's Inverse cosine formula & HCR's Theory of Polygon. These..

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