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Euclid: Elementa

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gre VI,27
ὅπερ ἔδει δεῖξαι.
Pic2623
eng
No English
lat Sic
Quod oportet ostendere.
Aliter.
Esto rursum recta AB divisa in duo equa secundum G et iuxta ductum AL deficiens figura LB et educatur rursum secundum rectam AB parallilogrammum AE defidens eo quod est EB et simili et similiter iacenti ei quod est LB quod a medietate. Dico quoniam maius est AL a medietate eductum quam AE.
Quoniam enim simile est EB ei quod est LB, circa eandem sunt diametrum. Esto ipsorum diametros EB et conscribatur figura. Et quoniam equale est LZ ei quod est LT, quoniam et recta ZI recte IT, maius ergo LZ quam KE. Equale vero LZ ei quod est DL. Maius ergo et DL quam EK. Commune adiaceat KD, totum ergo AL toto AE maius est. Quod oportet ostendere.
lat Gerard
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lat Adelard
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lat Hermann
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ara Uppsala
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ara Tuṣi
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ara Nairizi
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san
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lat Clavius
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kin 幾何原本
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