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Identical circles touching one another on the spherical polyhedrons analogous to Archimedean solids (Spherical Geometry by HCR)
Price: Free! Words: 3,010. Language: English (Indian dialect). Published: June 8, 2015. Categories: Nonfiction » Education and Study Guides » Research
The formula derived here by the author are applicable on a certain no. of the identical circles touching one another at different points, centered at the identical vertices of a spherical polyhedron analogous to an Archimedean solid for calculating the different parameters such as flat radius & arc radius of each circle, total surface area covered by all the circles, percentage of surface area etc
Packing of the spheres in the vertices of regular polyhedrons (platonic solids)
Price: Free! Words: 2,110. Language: English (Indian dialect). Published: June 8, 2015. Categories: Nonfiction » Education and Study Guides » Research
The formula generalized by the author Mr. H.C. Rajpoot are used to determine the important parameters for snugly packing the spheres in the vertices of all five platonic solids such as the radius of Nth sphere, total volume packed by all the spheres, packing ratio, the maximum packed volume & percentage etc.
Sphere resting in the vertex of right pyramid & regular polyhedron and filleting of the faces to best fit the sphere in the vertex (corner)
Price: Free! Words: 3,010. Language: English (Indian dialect). Published: June 8, 2015. Categories: Nonfiction » Education and Study Guides » Research
The generalized formula derived by the author are applicable to locate any sphere, with a certain radius, resting in a vertex (corner) at which n no. of edges meet together at angle α between any two consecutive of them such as the vertex of platonic solids, any of two identical & diagonally opposite vertices of uniform polyhedrons with congruent right kite faces & the vertex of right pyramid
Learning Management System Efficiency versus Staff Proficiency
Price: $0.99 USD. Words: 5,710. Language: English. Published: May 23, 2015. Categories: Nonfiction » Education and Study Guides » Research
Companies needlessly spend millions of dollars on initiatives to resolve productivity issues within their organisation. Often times the solutions implemented compound the problem and doesn’t resolve their core issues. In order to prevent such occurrences, it is necessary to conduct a Needs Assessment or Needs Analysis. This method allows a professional to analyse and identify the actual needs.
Solid angle subtended by a beam with rectangular profile given the horizontal & vertical beam angles (Radiometry by HCR)
Price: Free! Words: 1,200. Language: English (Indian dialect). Published: May 19, 2015. Categories: Nonfiction » Education and Study Guides » Research
All the articles discussed & analysed here for calculating the important parameters such as solid angle subtended by the beam at the point-source, total area intercepted by the beam with a spherical surface & cone angle of equivalent beam with circular section. These formula are very useful for replacing the rectangular profile by circular profile of a beam emitted by a uniform point-source.
Identical circles touching one another on a whole (entire) spherical surface (Spherical Geometry by H.C. Rajpoot)
Price: Free! Words: 3,400. Language: English (Indian dialect). Published: May 17, 2015. Categories: Nonfiction » Education and Study Guides » Research
All the articles discussed & analysed here are related to all five platonic solids. A certain no. of the identical circles are touching one another on a whole (entire) spherical surface having certain radius then all the important parameters such as flat radius & arc radius of each circle, total surface area & its percentage covered by all the circles on the sphere have been calculated.
Women of the World
Price: Free! Words: 8,580. Language: English. Published: April 14, 2015. Categories: Nonfiction » Education and Study Guides » Research
A book about the roles of women throughout history.
Uniform trapezohedron having 2n congruent right kite faces, 4n edges & 2n+2 vertices lying on a spherical surface (Generalized formula for infinite trapezohedrons by HCR)
Price: Free! Words: 2,790. Language: English (Indian dialect). Published: April 6, 2015. Categories: Nonfiction » Education and Study Guides » Research
The generalized formula, applicable on any uniform polyhedron having 2n congruent right kite faces, 4n edges & 2n+2 vertices lying on a spherical surface with a certain radius, have been derived by the author Mr H.C. Rajpoot to analyse infinite no. of the uniform polyhedrons (trapezohedrons) having congruent right kite faces simply by setting n=3,4,5,6,7,………………upto infinity.
The secrets of making Business Cards like a PRO
You set the price! Words: 9,170. Language: English. Published: April 5, 2015. Categories: Nonfiction » Education and Study Guides » Research
All you need to know to make a business card and more.
Tables of the solid angles subtended by the platonic solids (regular polyhedrons) & Archimedean solids (uniform polyhedrons) at their vertices
Price: Free! Words: 420. Language: English (Indian dialect). Published: April 3, 2015. Categories: Nonfiction » Education and Study Guides » Research
Tables of solid angles subtended at the vertices by all 5 platonic solids (regular polyhedrons) & all 13 Archimedean solids (uniform polyhedrons) calculated by the author using standard formula of solid angle & formula of tetrahedron. These are the standard values of solid angles which are useful for the analysis of platonic solids & Archimedean solids.
solid angle subtended by any tetrahedron at its vertex given the angles between the consecutive edges meeting at the same vertex
Price: Free! Words: 2,230. Language: English (Indian dialect). Published: March 29, 2015. Categories: Nonfiction » Education and Study Guides » Research
Generalized formula of a tetrahedron have been derived by the author Mr H.C. Rajpoot by using HCR's Inverse cosine formula & HCR's Theory of Polygon. These formula are very practical & simple to apply in case of any tetrahedron to calculate the internal (dihedral) angles between the consecutive lateral faces meeting at any of four vertices & the solid angle subtended by it (tetrahedron) at vertex
Great Rhombicosidodecahedron (the largest Archimedean solid) having 30 square faces, 20 regular hexagonal faces & 12 regular decagonal faces
Price: Free! Words: 2,260. Language: English (Indian dialect). Published: March 20, 2015. Categories: Nonfiction » Education and Study Guides » Research
All the important parameters of a great rhombicosidodecahedron (the largest Archimedean solid), having 30 congruent square faces, 20 regular hexagonal faces, 12 congruent regular decagonal faces each of equal edge length, 180 edges & 120 vertices lying on a spherical surface with certain radius, have been derived by the author Mr. H.C. Rajpoot by applying "HCR's Theory of Polygon".
Great Rhombicuboctahedron (an Archimedean solid) having 12 square faces, 8 regular hexagonal faces & 6 regular octagonal faces
Price: Free! Words: 2,250. Language: English (Indian dialect). Published: March 20, 2015. Categories: Nonfiction » Education and Study Guides » Research
All the important parameters of a great rhombicuboctahedron (an Archimedean solid), having 12 congruent square faces, 8 regular hexagonal faces, 6 congruent regular octagonal faces each of equal edge length, 72 edges & 48 vertices lying on a spherical surface with certain radius, have been derived by the author Mr H.C. Rajpoot by applying "HCR's Theory of Polygon".
Generalized formula of the uniform polyhedra having 2 congruent regular n-gonal faces, 2n congruent trapezoidal faces, 5n edges & 3n vertices lying on a spherical surface by HCR
Price: Free! Words: 1,410. Language: English (Indian dialect). Published: March 13, 2015. Categories: Nonfiction » Education and Study Guides » Research
All the formula have been generalized by the author which are applicable to calculate the important parameters, of any uniform polyhedron having 2 congruent regular n-gonal faces, 2n congruent trapezoidal faces each with three equal sides, 5n edges & 3n vertices lying on a spherical surface, such as solid angle subtended by each face at the centre, normal distance of each face from the centre etc.
Decahedron having 10 congruent faces each as a right kite (cyclic quadrilateral consisting of two congruent right triangles with common hypotenuse)
Price: Free! Words: 1,350. Language: English (Indian dialect). Published: March 1, 2015. Categories: Nonfiction » Education and Study Guides » Research
All the important parameters of a decahedron having 10 congruent faces each as a right kite have been derived by the author H.C. Rajpoot by applying HCR's Theory of Polygon to calculate normal distance of each face from the center, inscribed radius, circumscribed radius, mean radius, surface area & volume. The formula are very useful in analysis, designing & modeling of polyhedrons.
Mathematical Analysis of Three Externally Touching Circles (Geometry of Circles by H.C. Rajpoot)
Price: Free! Words: 1,170. Language: English (Indian dialect). Published: February 24, 2015. Categories: Nonfiction » Education and Study Guides » Research
All the articles, related to three externally touching circles, have been derived by using simple geometry & trigonometry to calculate inscribed & circumscribed radii. All the articles (formula) are very practical & simple to apply in case studies & practical applications of three externally touching circles in 2-D Geometry.
Approximation of the solid angle subtended by a circular plane at any arbitrary point in the space (Application of HCR's Approximation Formula of Solid Angle)
Price: Free! Words: 1,440. Language: English (Indian dialect). Published: February 24, 2015. Categories: Nonfiction » Education and Study Guides » Research
All the articles (formula) are useful for calculating the approximate value of solid angle subtended by a circular plane at any point in the space. These are also applicable for calculating all the parameters such as major axis, minor axis & eccentricity of elliptical plane of projection of a circular plane when viewed from any off-center position in the space.
Elliptical path in the annular region between two circles, smaller inside the bigger one (Geometry of Circles by HCR)
Price: Free! Words: 1,280. Language: English (Indian dialect). Published: February 24, 2015. Categories: Nonfiction » Education and Study Guides » Research
All the articles have been derived by the author by using simple geometry & trigonometry. These articles are related to the analysis of the elliptical path in the annular region between two circle, smaller inside bigger one & their centers separated by a certain distance. These formula are used to calculate minor axis, major axis, eccentricity & the radius of the third tangent circle.
Mathematical Analysis of Spherical Rectangle by using HCR's Theory of Polygon
Price: Free! Words: 1,130. Language: English (Indian dialect). Published: February 9, 2015. Categories: Nonfiction » Education and Study Guides » Research
All the articles 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 spherical rectangle to calculate all its important parameters such as solid angle, surface area covered, interior angles etc.
Spherical Trigonometry (Mathematical Analysis of Spherical Triangle)
Price: Free! Words: 2,170. Language: English (Indian dialect). Published: February 6, 2015. Categories: Nonfiction » Education and Study Guides » Research
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.