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Euclid: Elementa

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Euclid: Elementa
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gre VI,9
ὅπερ ἔδει ποιῆσαι.
Pic2604
eng
Q. E. F.
lat Sic
Quod oportet facere.
Aliter. Esto data recta AB. Oportet ergo ab AB propositam partem auferre. Proponatur tertia. Trahaturque ab A, B punctis recte AB ad rectos angulos recte AG, BD sumaturque in AG punctus quilibet E et iaceat recte AE dupla BD et copuletur recta DE. Equiangulum ergo est AZE trigonum trigone ZBD. Est ergo ut EA ad AZ ita DB ad BZ, permutatim ergo est ut DB ad EA ita ZB ad ZA. Dupla autem est BD recte EA, dupla ergo et BZ recte ZA. Quare tripla BA recte AZ. Ablata est ergo a data recta proposita pars. Quod oportebat facere.
lat Gerard
No Latin
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi
No Arabic
ara Nairizi
No Arabic
per Shirazi
.
san
No Sanskrit
lat Clavius
Quod faciendum erat.
kin 幾何原本
No Chinese
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