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 The World's Great Speeches by Waclaw Sierpinski
Cover of the book November Boughs by Waclaw Sierpinski
Cover of the book Crochet Mandalas by Waclaw Sierpinski
Cover of the book History of the Buccaneers of America by Waclaw Sierpinski
Cover of the book Great French Short Stories by Waclaw Sierpinski
Cover of the book Self-Working Rope Magic by Waclaw Sierpinski
Cover of the book Newton's Philosophy of Nature by Waclaw Sierpinski
Cover of the book Principles of War by Waclaw Sierpinski
Cover of the book The Happy Prince and Other Fairy Tales by Waclaw Sierpinski
Cover of the book Easy Mission-Style Woodworking Projects by Waclaw Sierpinski
Cover of the book Henry Hobson Richardson and His Works by Waclaw Sierpinski
Cover of the book Beowulf by Waclaw Sierpinski
Cover of the book Autobiography of Josiah Henson by Waclaw Sierpinski
Cover of the book California Bungalows of the Twenties by Waclaw Sierpinski
Cover of the book Authentic Victorian Dressmaking Techniques 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