Pythagorean Triangles (Dover Books on Mathematics),Used

Pythagorean Triangles (Dover Books on Mathematics),Used

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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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Frequently Asked Questions

  • Q: What is the main focus of 'Pythagorean Triangles' by Waclaw Sierpinski? A: The book explores the properties and relationships of Pythagorean triangles, specifically right triangles with sides that are natural numbers.
  • Q: How many pages does the book contain? A: The book has a total of 128 pages.
  • Q: What is the binding type of this book? A: This edition is available in paperback binding.
  • Q: When was 'Pythagorean Triangles' published? A: The book was published on November 2, 2011.
  • Q: Who is the author of this book? A: The author of 'Pythagorean Triangles' is Waclaw Sierpinski, a noted Polish mathematician.
  • Q: What mathematical concepts are covered in this book? A: The book covers various topics including primitive Pythagorean triangles, divisibility of sides, and the relationship between triangle sides and squares.
  • Q: Is this book suitable for beginners in mathematics? A: While the book is comprehensive, it may be more suitable for readers with a basic understanding of geometry, as it delves into advanced concepts.
  • Q: Does the book include illustrations or diagrams? A: The book includes illustrations and diagrams to help explain the mathematical concepts discussed.
  • Q: Is there a table of contents available? A: Yes, the book features a table of contents that outlines the various topics and chapters covered.
  • Q: What category does this book fall under? A: This book is categorized under Geometry & Topology.