Brahmagupta–Fibonacci identity
id:
brahmagupta-fibonacci-identity-189-15338395
title:
Brahmagupta–Fibonacci identity
text:
In algebra, the Brahmagupta–Fibonacci identity expresses the product of two sums of two squares as a sum of two squares in two different ways. Hence the set of all sums of two squares is closed under multiplication. Specifically, the identity says
- = 2 + 2 = 2 + 2. For example,
- = 26 2 + 15 2 = 30 2 + 1 2. The identity is also known as the Diophantus identity, as it was first proved by Diophantus of Alexandria. It is a special case of Euler's four-square identity, and also of Lagrange's id
brand slug:
wiki
category slug:
encyclopedia
description:
Expression of a product of sums of squares as a sum of squares
original url:
https://en.wikipedia.org/wiki/Brahmagupta%E2%80%93Fibonacci_identity
date created:
2003-09-25T00:35:57Z
date modified:
2024-09-09T14:15:53Z
main entity:
{"identifier":"Q279090","url":"https://www.wikidata.org/entity/Q279090"}
image:
fields total:
13
integrity:
15