(Q1187196)

English

Degen's eight-square identity

theorem

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time of discovery or invention

1818

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defining formula

(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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WikiProject Mathematics

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Identifiers

1 reference

28 October 2013

DegensEight-SquareIdentity

1 reference

imported from Wikimedia project

French Wikipedia

Sitelinks

Wikipedia(10 entries)

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

(Q1187196)

Degen's eight-square identity

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