May 17, 2017 · I'm looking for formulas or methods to find pythagorean triples. I only know one formula for calculating a pythagorean triple and that is euclid's which is: $$\\begin{align} &a = m^2-n^2 …

Jul 6, 2019 · I have been reading about Pythagorean triples from the wiki page link here. It says that a pythagorean triple consists of 3 positive integer's $ a, b, c $ such that $ a^2 + b^2 = c^2 $. Also if a...

Aug 6, 2015 · I believe these questions are all asking different things, but: Are there infinitely many (integer) solutions to the pythagorean theorem? Is every positive integer part of a solution to the …

Apr 18, 2013 · This problem is giving me difficulty: Show that in any Pythagorean triple there exist at most a single perfect square So far I've been working with the equations for primitive Pythagorean …

Jun 15, 2016 · Explore related questions pythagorean-triples See similar questions with these tags.

Jul 25, 2024 · I think you might really enjoy this video by 3Blue1Brown about the connection between generating Pythagorean triples and multiplying Gaussian integers (complex numbers with integer …

May 11, 2017 · Note that we are only interested in integral pythagorean triplets, we are given the hypotenuse $c$, how can I efficiently find the other two sides of the right angled triangle.

Mar 20, 2022 · The most referenced and accepted way of generating Pythagorean triples is by using Euclid's formula $\quad (A=m^2-k^2\quad B=2mk\quad C=m^2+k^2) \quad m,k\in\mathbb {N}\quad $ …

This seemingly generates a sequence of Pythagorean triples that I could not find used in any other formula. Its important to note that $12r^2$ is twice the area of Pythagorean triples that stem from …

Oct 11, 2018 · Generating Pythagorean triples Ask Question Asked 7 years, 2 months ago Modified 6 years, 6 months ago