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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,8
συσταθήσονται ἐπὶ τῆς αὐτῆς εὐθείας δύο ταῖς αὐταῖς εὐθείαις ἄλλαι δύο εὐθεῖαι ἴσαι ἑκατέρα ἑκατέρᾳ πρὸς ἄλλῳ καὶ ἄλλῳ σημείῳ ἐπὶ τὰ αὐτὰ μέρη τὰ αὐτὰ πέρατα ἔχουσαι.
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eng
then, given two straight lines constructed on a straight line (from its extremities) and meeting in a point, there will have been constructed on the same straight line (from its extremities), and on the same side of it, two other straight lines meeting in another point and equal to the former two respectively, namely each to that which has the same extremity with it.
lat Sic
sistentur super eandem rectam duabus eisdem rectis alie due recte equales, utraque utrique, ad aliud et aliud punctum in easdem partes eosdem terminos habentes.
lat Gerard
tunc iam eriguntur due recte linee super unam rectam lineam duabus aliis rectis lineis equales, queque sue relative, et fit obviatio earum et obviatio aliarum in parte una super duo puncta diversa et earum extremitates aliarum sibi equalium sunt termini.
lat Adelard
Sicque de extremitatibus unius linee due exibunt linee quarum summitates puncto superincident exibuntque in eandem partem ab eisdem extremitatibus alie due linee eis equales quarum summitates supra punctum alium convenient,
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lat Hermann
quod alias divertens equalitatem contendat, erunt linee, que prioribus equales et ab eisdem punctis surgentes in eadem parte ad aliud punctum concurrant,
ara Uppsala
No Arabic
ara Tuṣi
[...]
ara Nairizi p. 66
وقد خرج من طرفى خط خطان والتقى طرفاهما على نقطة وخرج من مخرجيهما خطان اخران مساويان لهما فى تلك الجهة التقى طرفاهما على نقطة
san 15,1–3
dahadajharekhe hajharekhobhayaprāntābhyāṃ niḥsṛte dacihne milite vahava(2)jharekhe purvarekhāsamāne prāntābhyāṃ (3) niḥsṛte vacihne milite |
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lat Clavius
Quod si punctum A, alio dicatur cadere, ut ad G, quomodocunque id contingat, hoc est, sive in latus E D, sive intra triangulum E D F, sive extra, ut in figuris apparet; erit perpetuo E G, (quæ eadem est, quæ B A,) æqualis ipsi E D; & F G, (quæ eadem est, quæ C A) æqualis ipsi F D, propterea quod latera unius trianguli æqualia ponuntur lateribus alterius.
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