Degen's eight-square identity (Q1187196)

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theorem

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Language	Label	Description	Also known as
English	Degen's eight-square identity	theorem

Statements

instance of

theorem

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named after

Karl Ferdinand Degen

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time of discovery or invention

1818

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defining formula

${\displaystyle (A^{2}+B^{2}+C^{2}+D^{2}+E^{2}+F^{2}+G^{2}+H^{2})(a^{2}+b^{2}+c^{2}+d^{2}+e^{2}+f^{2}+g^{2}+h^{2})=(Aa-Bb-Cc-Dd-Ee-Ff-Gg-Hh)^{2}+(Ab+Ba+Cd-Dc+Ef-Fe-Gh+Hg)^{2}+(Ac-Bd+Ca+Db+Eg+Fh-Ge-Hf)^{2}+(Ad+Bc-Cb+Da+Eh-Fg+Gf-He)^{2}+(Ae-Bf-Cg-Dh+Ea+Fb+Gc+Hd)^{2}+(Af+Be-Ch+Dg-Eb+Fa-Gd+Hc)^{2}+(Ag+Bh+Ce-Df-Ec+Fd+Ga-Hb)^{2}+(Ah-Bg+Cf+De-Ed-Fc+Gb+Ha)^{2}}$

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

Freebase ID

/m/0cyc69

1 reference

stated in

Freebase Data Dumps

publication date

28 October 2013

MathWorld ID

DegensEight-SquareIdentity

1 reference

imported from Wikimedia project

French Wikipedia

 

Sitelinks

Wikipedia(10 entries)

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• enwiki Degen's eight-square identity
• frwiki Identité des huit carrés de Degen
• hywiki Ութ քառակուսիների նույնություն
• itwiki Identità degli otto quadrati di Degen
• kmwiki សមភាពការ៉េទាំង៨របស់ដេហ្គេន
• kowiki 데겐의 여덟 제곱수 항등식
• nlwiki Acht-kwadratenidentiteit van Degen
• ruwiki Тождество восьми квадратов
• ukwiki Тотожність восьми квадратів
• vepwiki Kahesan nellikon identižuz

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