Pythagorean Triangles

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Pythagorean Triangles by Waclaw Sierpinski, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Waclaw Sierpinski ISBN: 9780486174839
Publisher: Dover Publications Publication: April 10, 2013
Imprint: Dover Publications Language: English
Author: Waclaw Sierpinski
ISBN: 9780486174839
Publisher: Dover Publications
Publication: April 10, 2013
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book Popular Tales from Norse Mythology by Waclaw Sierpinski
Cover of the book Speed Mathematics Simplified by Waclaw Sierpinski
Cover of the book Great Speeches by Frederick Douglass by Waclaw Sierpinski
Cover of the book Easy Ways to Enlarge Your German Vocabulary by Waclaw Sierpinski
Cover of the book The Yellow Fairy Book by Waclaw Sierpinski
Cover of the book Bartleby and Benito Cereno by Waclaw Sierpinski
Cover of the book The Malliavin Calculus by Waclaw Sierpinski
Cover of the book Modern Coin Magic by Waclaw Sierpinski
Cover of the book Partially Ordered Algebraic Systems by Waclaw Sierpinski
Cover of the book Beanie and Tough Enough by Waclaw Sierpinski
Cover of the book Early L. & J. G. Stickley Furniture by Waclaw Sierpinski
Cover of the book An Etymological Dictionary of Modern English, Vol. 2 by Waclaw Sierpinski
Cover of the book Problems and Worked Solutions in Vector Analysis by Waclaw Sierpinski
Cover of the book Neutrons, Nuclei and Matter by Waclaw Sierpinski
Cover of the book Art Anatomy of Animals by Waclaw Sierpinski
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy