Convex Figures

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Author(s): I. M. Yaglom, V. G. Boltyanskii
Publisher: Mir Publishers
Year: 1961

Language: English
City: Moscow

Front Cover
Title Page
Foreword to the American Edition
Authors’ Preface
CONTENTS
Suggestions for Using This Book
EXERCISES
1. GENERAL PROPERTIES OF CONVEX FIGURES
2. HELLY’S THEOREM AND ITS APPLICATIONS
3. A PROPERTY OF CONTINUOUS FUNCTIONS
4. THE ADDITION OF CONVEX FIGURES AND CURVES
5. THE ISOPERIMETRIC PROBLEM
6. VARIOUS EXERCISES ON MAXIMA AND MINIMA
7. CURVES OF CONSTANT WIDTH
8. CURVES WHICH CAN BE ROTATED IN AN EQUILATERAL TRIANGLE
Appendix I
LIMIT THEOREM FOR CURVES
Appendix II
ON THE CONCEPTS OF CONVEX AND NON CONVEX FIGURES
Translators ’ Note
SIMILITUDES
SOLUTIONS
BIBLIOGRPAHY
INDEX