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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,7
Εἰ γὰρ δυνατόν, ἐπὶ τῆς αὐτῆς εὐθείας τῆς ΑΒ δύο ταῖς αὐταῖς εὐθείαις ταῖς ΑΓ, ΓΒ ἄλλαι δύο εὐθεῖαι αἱ ΑΔ, ΔΒ ἴσαι ἑκατέρα ἑκατέρᾳ συνεστάτωσαν πρὸς ἄλλῳ καὶ ἄλλῳ σημείῳ τῷ τε Γ καὶ Δ ἐπὶ τὰ αὐτὰ μέρη τὰ αὐτὰ πέρατα ἔχουσαι,
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Pic635
eng
For, if possible, given two straight lines AC, CB constructed on the straight line AB and meeting at the point C, let two other straight lines AD, DB be constructed on the same straight line AB, on the same side of it, meeting in another point D and equal to the former two respectively, namely each to that which has the same extremity with it,
lat Sic
Si enim possibile, super eandem rectam AB duabus eisdem rectis AG et GB alie due recte AD et DB equales, utraque utrique, sistantur ad aliud et ad aliud punctum G scilicet et D in easdem partes que sint G et D eosdem terminos habentes A et B,
lat Gerard
Exempli causa: Si possibile est super rectam lineam AB due recte linee AG; BG et due alie linee eis equales erigantur, queque sue relative, sintque AD; DB et sint earum obviationes et obviationes aliarum in parte una super duo puncta diversa que sunt G, D.
lat Adelard
Si enim possibile est, fiat AD sicut AG et BD sicut BG. Conveniantque AD et BD supra punctum D
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lat Hermann
Cum enim a linea AB et ... punctis due linee hine ... exeuntes ad punctum G conveniunt, numquam ab eisdem in eandem partem educte his equales in alio loco iungentur.
ara Uppsala
No Arabic
ara Tuṣi p. 7
مثلا خرج من طرفى (ا ب) خطا (ا ج) (ب ج) فالتقيان على (ج) فان امكن ان يخرج فى جهة (ج) آخران مساويان لهما ملتقيان على غير (ج)
ara Nairizi p. 62
اانه قد اخرج من طرفى خط (ا ب) خطا (ا ج) (ب ج) والتقيا على نقطة (ج) فاقول انه غير ممكن ان يخرج من نقطة (ا) خط مساو لخط (ا ج) ومن نقطة (ب) خط مساو لخط (ب ج) فى تلك الجهة يلتقى طرفاهما على غير نقطة (ج)
per Shirazi 24,16-25,1
جون از طرف خطی جون (ا ب) دو خط ملتقی بنقطه (ج) 1 بیرون روند جون (ا ج) (ب ج) ممکن نباشد کی از دو طرف او جهت دو خط دیکر مساوی ایشان بیرون روند هر یک مساوی نظیر خویش
1. (ج) is marked to be moved in MS from the line below.
san 13,17–20
atropapattiḥ | (18) abarekhāprāntābhyāṃ ajarekhā bajarekhā ca niḥsṛtā jacihne tayo(19)r yogo jātaḥ | atha yadi tatsamānam anyad rekhā(20)dvayam anyatra cihne milati
Pic681
lat Clavius
SVPER recta A B, constituantur ad punctum quoduis C, duæ rectæ lineæ A C, B C. Dico super eandem rectam A B, versus partem eandem C, non posse ad aliud punctum, vt ad D, constitui duas alias rectas lineas,
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