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Emendatio ex 10:36, 19 Ianuarii 2011

Commotus geometricus approbatio theoremae Pythagorae

In Geometria Euclideana, theorema Pythagorae^[1] vel sententia Pythagorae^[2] dicit trianguli recti hypothenusam quadratam aequalem esse summae aliorum laterum quadratorum.

Enuntiatum theoremae est: in triangulum ABC rectum in B quod hypothenusa est AC, habemus AB² + BC² = AC².

Generaliter, si u et v duo orthogoni vectores in spatio hilbertiano sunt, tunc $\left\Vert u\right\Vert ^{2}+\left\Vert v\right\Vert ^{2}=\left\Vert u+v\right\Vert ^{2}$ .

Nota

Formula:Link FA Formula:Link FA Formula:Link FA Formula:Link FA Formula:Link FA

[1] Lamberti Bos ellipses Graecae

[2] Q. SEPTIMII FLORENTIS TERTULLIANI DE RESURRECTIONE CARNIS LIBER

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 [[Fasciculus:Pythagoras-2a.gif|thumb|Commotus geometricus approbatio theoremae Pythagorae]]
-In [[Geometria Euclideana]], '''theorema Pythagorae'''<ref>[http://books.google.de/books?id=_QoAAAAAYAAJ&pg=PA238&lpg=PA238&dq=Theorema+Pythagorae&source=web&ots=L9e6QdC7wC&sig=my9VpJhhdHtLed-p6QoA29SdtO0&hl=de Lamberti Bos ellipses Graecae]</ref> vel '''sententia Pythagorae'''<ref>[http://www.tertullian.org/articles/evans_res/evans_res_03latin.htm Q. SEPTIMII FLORENTIS TERTULLIANI DE RESURRECTIONE CARNIS LIBER]</ref> dicit trianguli recti hypothenusam quadratam aequalem esse summae aliorum laterum quadratorum.
+In [[Geometria Euclideana]], '''[[theorema]] Pythagorae'''<ref>[http://books.google.de/books?id=_QoAAAAAYAAJ&pg=PA238&lpg=PA238&dq=Theorema+Pythagorae&source=web&ots=L9e6QdC7wC&sig=my9VpJhhdHtLed-p6QoA29SdtO0&hl=de Lamberti Bos ellipses Graecae]</ref> vel '''sententia Pythagorae'''<ref>[http://www.tertullian.org/articles/evans_res/evans_res_03latin.htm Q. SEPTIMII FLORENTIS TERTULLIANI DE RESURRECTIONE CARNIS LIBER]</ref> dicit trianguli recti hypothenusam quadratam aequalem esse summae aliorum laterum quadratorum.
 Enuntiatum theoremae est: in triangulum ABC rectum in B quod hypothenusa est AC, habemus AB² + BC² = AC².