Generating PPTs-letter received from the reader.

Badiger, Arvind N. (2012) Generating PPTs-letter received from the reader. At Right Angles, 1 (2). p. 1.

[img]
Preview
Text - Published Version
Download (538kB) | Preview

Abstract

Describes another way of generating Primitive Pythagorean Triples (PPTs). Let x be a positive rational number, and let a = x, b = (x 2 − 1)/2, c = (x 2 + 1)/2; then a, b, c are rational numbers such that a 2 + b 2 = c 2 and c − b = 1. To ensure that a, b, c are in ascending order we must have x > 2 + 1 . 2 . 414 . By choosing x appropriately and af- ter multiplying by an appropriate constant to clear fractions we get a family of PPTs in which c − b has a constant difference; i.e., the difference between the largest two numbers in the triple is a constant. Here are some examples.

Item Type: Articles in APF Magazines
Uncontrolled Keywords: Fracations, Integrels, Rational number and PPTs.
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University publications > At Right Angles
Depositing User: Mr. Sachin Tirlapur
Date Deposited: 26 Oct 2018 17:20
Last Modified: 26 Oct 2018 17:20
URI: http://publications.azimpremjifoundation.org/id/eprint/1596
Publisher URL:

Actions (login required)

View Item View Item