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Euclid: Elementa

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Click to Expand/Collapse OptionTitle
Click to Expand/Collapse OptionPreface
Click to Expand/Collapse OptionBook I
Click to Expand/Collapse OptionBook ΙI
Click to Expand/Collapse OptionBook IΙΙ
Click to Expand/Collapse OptionBook IV
Click to Expand/Collapse OptionBook V
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Click to Expand/Collapse OptionBook VIII
Click to Expand/Collapse OptionBook ΙΧ
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gre ΙΙI,7
καὶ ἡ ΖΚ ἄρα τῇ ΖΘ ἐστιν ἴση, ἡ ἔγγιον τῆς διὰ τοῦ κέντρου τῇ ἀπώτερον ἴση: ὅπερ ἀδύνατον.
Pic2519
eng
the nearer to the straight line through the centre being thus equal to the more remote: which is impossible.
lat Sic
et recta ergo ZK recte ZT equalis est, propinquior ei que per centrum remotiori equalis. Quod est impossibile.
Vel et ita. Copuletur recta EK. Et quoniam equalis est recta IE recte EK, communis autem ZE et basis IZ basi KZ equalis, angulus ergo qui sub IEZ angulo qui sub KEZ est equalis. Verum qui sub IEZ angulo qui sub TEZ est equalis, et angulus ergo qui sub TEZ angulo qui sub KEZ est equalis. Minor maiori. Quod est impossibile.
lat Gerard
Angulus ergo ATE angulo KTE equalis existit. Sed angulus ATE angulo BTE fuit equalis, angulus ergo KTE angulo BTE est equalis, maior videlicet minori equalis. Hoc autem contrarium est et impossibile.
lat Adelard 48r
Angulus itaque ATH sicut angulus KTH. Sed ATH sicut BTH. Itaque KTH equalis BTH, maior minori. Quod contrarium est impossibile.
lat Hermann 20r
erit igitur ETK angulus ei qui est ATE equalis; fuit autem BTE huic equalis, erit ergo BTE angulus ei qui est ETK pars toti equali.
ara Uppsala
No Arabic
ara Tuṣi
No Arabic
ara Nairizi
No Arabic
san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本
No Chinese
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