Pythagorean Triangles

Edition: Reprint
Format: Paperback
Pub. Date: 2011-11-02
Publisher(s): Dover Publications
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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 trianglesp. 1
Obtaining primitive pythagorean trianglesp. 4
Pythagorean triangles with sides < 100p. 11
Pythagorean triangles two sides of which are successive numbersp. 13
Divisibility by 3 or by 5 of one of the sides of a pythagorean trianglep. 23
The values of the sides of pythagorean trianglesp. 26
Pythagorean triangles with the same arm or the same hypotenusep. 30
Pythagorean triangles with the same perimeterp. 33
Pythagorean triangles with the same areasp. 36
The radii of circles inscribed in pythagorean trianglesp. 42
Pythagorean triangles in which one or more sides are squaresp. 47
Triangles with natural sides and natural areas. Triangles with natural areas and sides which are successive numbers. Rational trianglesp. 59
Pythagorean triangles in which the hypotenuse and the sum of the arms are squaresp. 67
Representation of pythagorean triangles with the help of the points of a planep. 89
Right triangles the sides of which are reciprocals of natural numbersp. 93
Cuboids with edges and diagonals expressed by natural numbersp. 97
Table of Contents provided by Ingram. All Rights Reserved.

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