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Euclid: Elementa

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gre ΙΙI,8
ἡ ἔγγιον τῆς ΔΗ ἐλαχίστης τῇ ἀπώτερον [ἐστιν] ἴση: ὅπερ ἀδύνατον ἐδείχθη.
Pic2520
eng
that is, the nearer to the least DG equal to the more remote: which was proved impossible.
lat Sic
Propinquior DI minime remotiori est equalis. Quod est impossibile.
Vel et aliter. Copuletur recta MN. Quoniam ergo equalis est recta KM recte MN, communis vero DM, et basis DK basi DN equalis, angulus ergo qui sub KMD angulo qui sub DMN est equalis. Verum qui sub KMD ei qui sub BMD est equalis, et angulus ergo qui sub BMD angulo qui sub NMD est equalis. Minor maiori. Quod est impossibile.
lat Gerard
Angulus ergo GMK angulo GMS equatur. Sed angulus GMK angulo GMN extitit equalis, ergo angulus GMN angulo GMS est equalis, maior videlicet minori equalis. Hoc autem est contrarium et impossibile.
lat Adelard
Angulus ergo KMG sicut angulus GMS. Erat autem KMG equalis angulo GMN. Angulus itaque GMN angulo GMS minor maiori equalis. Quod contrarium est impossibile.
lat Hermann 20r
Inter eas vero, que extra sunt, contrario evenire
ara Uppsala
No Arabic
ara Tuṣi
No Arabic
ara Nairizi
No Arabic
san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本
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