Pythagorean Triangles

Author:   Waclaw Sierpinski
Publisher:   Dover Publications
ISBN:  

9781306392228


Publication Date:   01 January 2013
Format:   Electronic book text
Availability:   In stock   Availability explained
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Pythagorean Triangles


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Overview

The Pythagorean Theorem is one of the fundamental theorems of elementary geometry, and Pythagorean triangles -- right triangles whose sides are natural numbers -- have been studied by mathematicians since antiquity. In this classic text, a brilliant Polish mathematician explores the intriguing mathematical relationships in such triangles.Starting with primitive Pythagorean triangles, the text examines triangles with sides less than 100, triangles with two sides that are successive numbers, divisibility of one of the sides by 3 or by 5, the values of the sides of triangles, triangles with the same arm or the same hypotenuse, triangles with the same perimeter, and triangles with the same area. Additional topics include the radii of circles inscribed in Pythagorean triangles, triangles in which one or more sides are squares, triangles with natural sides and natural areas, triangles in which the hypotenuse and the sum of the arms are squares, representation of triangles with the help of the points of a plane, right triangles whose sides are reciprocals of natural numbers, and cuboids with edges and diagonals expressed by natural numbers.

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Author:   Waclaw Sierpinski
Publisher:   Dover Publications
Imprint:   Dover Publications
ISBN:  

9781306392228


ISBN 10:   1306392225
Publication Date:   01 January 2013
Audience:   General/trade ,  General
Format:   Electronic book text
Publisher's Status:   Active
Availability:   In stock   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

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