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Euclid: Elementa

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gre VI,30
ὅπερ ἔδει ποιῆσαι.
Pic2626
eng
Q. E. F.
lat Sic
Quod oportebat facere.
Aliter demonstratio. Esto data recta AB. Oportet ergo rectam AB secundum extremam et mediam proportionem secare.
Dividatur enim recta AB secundum g. Quare quod sub AB, BG equale esse ei quod a recta GA tetragono. Quoniam ergo quod sub rectis AB, BG equale est ei quod a recta GA, est ergo ut recta BA ad AG ita recta AG ad GB. Recta ergo AB secundum extremam et mediam proportionem secta est secundum G. Quod oportet facere.
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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