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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
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gre I,14
Εἰ γὰρ μή ἐστι τῇ ΒΓ ἐπ᾽ εὐθείας ἡ ΒΔ, ἔστω τῇ ΓΒ ἐπ᾽ εὐθείας ἡ ΒΕ.
Pic342
Pic638
eng
For, if BD is not in a straight line with BC, let BE be in a straight line with CB.
lat Sic
Si enim non est recte BG in directo recta BD, esto recte BG in directo recta BE.
lat Gerard
Probatio huius: Quia si fuerit possibile aliter quam hoc modo esse, sit igitur BE in rectitudine linee BG.
lat Adelard
Rationis causa: Quia enim aliter est impossibile, de puncto B linea alia usque ad H extrahatur. Sitque linea BH cum linea BG recto modo iuncta.
lat Hermann
Quod hinc apparebit quoniam si non est ut diximus, exeat alia linea AB in E quam BG linee continuemus,
ara Uppsala 7r19-20
فإن أمكن غير ذلك فليكن (ب ه) على استقامة (ج ب)
ara Tuṣi p. 10
والا فيخرج (ج ب ه) على الاستقامة
ara Nairizi p. 78
برهانه انه لا يمكن الا ذلك فان امكن ان نتصل بنقطة (ب) خطا اخر غير (ب د) ويصيرا جميعا خطا واحدا مستقيما فليكن ذلك الخط خط (ب ه)
san 21,5–6
yadi saralā na bhavati tadā jabaharekhā (6) saralā rekhā bhavati |
Pic701
lat Clavius
Si enim non est recta D C E; producta D C, ad partes C, in directum, & continuum cadet aut supra C E, ut sit recta D C F, aut infra C E, ut sit recta D C G.
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