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Brahmagupta–Fibonacci identity
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==History== The identity first appeared in [[Diophantus]]' ''[[Arithmetica]]'' (III, 19), of the third century A.D. It was rediscovered by Brahmagupta (598–668), an [[Indian mathematicians|Indian mathematician]] and [[Indian astronomy|astronomer]], who generalized it to [[Brahmagupta's identity]], and used it in his study of what is now called [[Pell's equation]]. His ''[[Brahmasphutasiddhanta]]'' was translated from [[Sanskrit]] into [[Arabic language|Arabic]] by [[Mohammad al-Fazari]], and was subsequently translated into [[Latin]] in 1126.<ref name=Joseph>{{Harvnb|Joseph|2000|p=306}}</ref> The identity was introduced in western Europe in 1225 by [[Fibonacci]], in ''[[The Book of Squares]]'', and, therefore, the identity has been often attributed to him.
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