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Euclid: Elementa

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Euclid: Elementa
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Q. E. F.
lat Clavius
Quod erat faciendum.

SCHOLION
SVBIVNGIT autem hoc loco Peletarius subsequens problema.

DATO parallelogrammo æquale triangulum contituere, in dato angulo rectilineo.
SIT datum parallelogrammum A B C D, & datus angulus G. Fiat angulus C B E, angulo G, æqualis, secetque recta B E, rectam A D, productam in E. Extendatur quoque B C, ad F, sitque C F, æqualis rectæ B C, & iungatur E F. Dico triangulum B E F, habens angulum E B F, angulo dato G, æqualem, æquale esse parallelogrammo A B C D. Ducta enim recta C E, erit parallelogrammum A B C D, duplum trianguli B C E. Item triangulum B E F, eiusdem trianguli B C E, duplum; quod æqualia sint triangula E B C, E B F. Quare æqualia inter se erunt parallelogrammum A B C D, & triangulum B E F.
kin 幾何原本
.
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