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An Elementary Treatise on Coordinate Geometry of Three Dimensions (3/e)
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ISBN
:
9780333919712
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Publisher
:
Macmillan Publishers India
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Subject
:
Mathematics
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Binding
:
Paperback
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Pages
:
448
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Year
:
2000
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160.0
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Description
An exposition of the properties of the plane, the straight line and the conicoids for students of Applied Mathematics, this book also provides, an introduction to larger treatise on the subject, to works on Differential geometry and theory of surface, for students of Pure Mathematics. Numerous examples are included - many constructed to illustrate particular theorems and others selected from university examination papers.
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Author Biography
Robert J T Bell - Professor Emeritus of Mathematics in the University of Otago. Formerly Lecturer of Mathematics in the University of Glasgow. Table of Contents Systems of Coordinates the Equation to a Surface • Projections, Direction Cosines, Direction Ratios • The Plane, The Straight Line, The Volume of a Tetrahedron • Change of Axes • The Sphere • The Cone • The Central Conicoids, The Cone, The Paraboloids • The Axes of Plane Sections, Circular Sections • Generating Lines • Confocal Conicoids • The General Equation of the Second Degree • The Intersection of Two Conicoids, Systems of Conicoids • Conoids, Surfaces in General • Curves in Space • Envelopes, Ruled Surfaces • Curvature of Surfaces • Asymptotic Lines - Geodesics • Appendix • Index
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