English

Geometry

ABOUT THE BOOK This is a manual for the students of universities and teachers' training colleges. Containing the compulsory course of geometry, its particular impact is on elementary topics. The book is, therefore, aimed at professional training of the school or university teacher-to-be. The first part, analytic geometry, is easy to assimilate, and actually reduced to acquiring skills in applying algebraic methods to elementary geometry. The second part, differential geometry, contains the basics of the theory of curves and surfaces. The third part, foundations of geometry, is original. The fourth part is devoted to certain topics of elementary geometry. The book as a whole must interest the reader in school or university teacher's profession. The book was translated from the Russian by Leonid Levant, Aleksandr Repyev and Oleg Efimov and published by Mir in 1987. All credits to the original uploader. Contents Preface 10 Part One. Analytic Geometry 11 Chapter I. Rectangular Cartesian Coordinates in the Plane 11 1. Introducing Coordinates in the Plane 11 2. Distance Between Two Points 12 3. Dividing a Line Segment in a Given Ratio 13 4. Equation of a Curve. Equation of a Circle 15 5.

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