Pythagorean Triangles
by Sierpinski, WaclawEdition: Reprint
Format: Paperback
Pub. Date: 2011-11-02
Publisher(s): Dover Publications
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Summary
The study of the arithmetical properties of triangles dates back to ancient Greece, and possibly beyond. This classic text, written by a distinguished mathematician and teacher, focuses on a fundamental cornerstone of elementary geometry, the theorem of Pythagoras, and its applications. Unabridged republication of the edition published by the Graduate School of Science, Yeshiva University, New York, 1962. Translated by Dr. Ambikeshwar Sharma.
Table of Contents
| Pythagorean Triangles. Primitive pythagorean triangles | p. 1 |
| Obtaining primitive pythagorean triangles | p. 4 |
| Pythagorean triangles with sides < 100 | p. 11 |
| Pythagorean triangles two sides of which are successive numbers | p. 13 |
| Divisibility by 3 or by 5 of one of the sides of a pythagorean triangle | p. 23 |
| The values of the sides of pythagorean triangles | p. 26 |
| Pythagorean triangles with the same arm or the same hypotenuse | p. 30 |
| Pythagorean triangles with the same perimeter | p. 33 |
| Pythagorean triangles with the same areas | p. 36 |
| The radii of circles inscribed in pythagorean triangles | p. 42 |
| Pythagorean triangles in which one or more sides are squares | p. 47 |
| Triangles with natural sides and natural areas. Triangles with natural areas and sides which are successive numbers. Rational triangles | p. 59 |
| Pythagorean triangles in which the hypotenuse and the sum of the arms are squares | p. 67 |
| Representation of pythagorean triangles with the help of the points of a plane | p. 89 |
| Right triangles the sides of which are reciprocals of natural numbers | p. 93 |
| Cuboids with edges and diagonals expressed by natural numbers | p. 97 |
| Table of Contents provided by Ingram. All Rights Reserved. |
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