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This is a book on Euclidean geometry that covers the standard material in a completely new way, while also introducing a number of new topics that would be suitable as a junior-senior level undergraduate textbook. The author does not begin in the traditional manner with abstract geometric axioms. Instead, he assumes the real numbers, and begins his treatment by introducing such modern concepts as a metric space, vector space notation, and groups, and thus lays a rigorous basis for geometry while at the same time giving the student tools that will be useful in other courses.
An Unabridged Printing, With Text And All Figures Digitally Enlarged. Chapters Include: PLANE GEOMETRY - Rectilinear Figures - The Circle - Proportion - Similar Polygons - Areas Of Polygons - Regular Polygons And Circles - Appendix To Plane Geometry (Symmetry, Maxima And Minima) - SOLID GEOMETRY - Lines And Planes In Space - Polyhedrons, Cylinders, And Cones - The Sphere - Appendix To Solid Geometry - Recreations Of Geometry - Suggestions As To Beginning Demonstrative Geometry - Applications Of Geometry - The History Of Geometry - Table Of Formulas - Comprehensive Index
Technical Drawing 1: Plane and Solid Geometry is the first of three books which together provide comprehensive coverage of all aspects of secondary school technical drawing syllabuses. The three books may be used together or separately to suit a variety of needs.
This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.
Concise text covers basics of solid analytic geometry and provides ample material for a one-semester course. Additional chapters on spherical coordinates and projective geometry suitable for longer courses or supplementary study. 1949 edition.
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