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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,40
Εἰ γὰρ μή, ἤχθω διὰ τοῦ Α τῇ ΒΕ παράλληλος ἡ ΑΖ, καὶ ἐπεζεύχθω ἡ ΖΕ.
Pic372
Pic651
eng
For, if not, let AF be drawn through A parallel to BE [I. 31], and let FE be joined.
lat Sic
Si enim non, ducatur per A equidistans recte BE recta AZ et copuletur recta ZE.
lat Gerard
Probatio huius: Quoniam si hoc non ita fuerit, sit AH linea linee BZ equidistans, si hoc possibile est, et coniungam HZ.
lat Adelard
Extrahatur enim de puncto A linea usque ad Z inconiunctiva linee BH, si est possibile. Iungaturque Z cum H.
lat Hermann
Cuius argumentum idem fere quod superioris: linea videlicet ab A in Z indeque in E infra ADE deducta.
ara Uppsala
No Arabic
ara Tuṣi p. 25
والا فليكن (ا ح) موازيا له وليلق (ه د) على (ح) ونصل (ح ز)
ara Nairizi p. 162
برهان انه ان امكن ان نخرج من نقطة (ا) خطا موازيا لخط (ب ه) غير خط (ا د) فليخرج وننزل انه خط (ا ز) فخط (ا ز) مواز لخط (ب ه)
san 57,4-6
yadi samānāntarā na syāt tadā avarekhā samānāntarā syāt | vajharekhā kāryā |
Pic755
lat Clavius
Si enim non est, cadet parallela ipsi B F, per A, ducta, vel supra A D, vel infra. Cadat primum supra, coeatque cum E D, producta in G, & ducatur recta G F.
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