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Euclid: Elementa

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gre IV,8
εἰ γὰρ τεμεῖ ὁ κύκλος τὰς ΑΒ, ΒΓ, ΓΔ, ΔΑ, ἡ τῇ διαμέτρῳ τοῦ κύκλου πρὸς ὀρθὰς ἀπ᾽ ἄκρας ἀγομένη ἐντὸς πεσεῖται τοῦ κύκλου: ὅπερ ἄτοπον ἐδείχθη.
Pic2561
eng
For, if the circle cuts AB, BC, CD, DA, the straight line drawn at right angles to the diameter of the circle from its extremity will fall within the circle : which was proved absurd; [III. 16]
lat Sic
Si enim secat circulus rectas AB, BG, GD, DA, diametro circuli ad rectos a termino ducta intra circulum cadet. Quod inconveniens.
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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