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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,33
καὶ ἐπεὶ εἰς δύο εὐθείας τὰς ΑΓ, ΒΔ εὐθεῖα ἐμπίπτουσα ἡ ΒΓ τὰς ἐναλλὰξ γωνίας ἴσας ἀλλήλαις πεποίηκεν, παράλληλος ἄρα ἐστὶν ἡ ΑΓ τῇ ΒΔ.
Pic365
Pic648
eng
And, since the straight line BC falling on the two straight lines AC, BD has made the alternate angles equal to one another, AC is parallel to BD. [I. 27]
lat Sic
Et quoniam in duas rectas AG et BD recta incidens BG permutatim angulos AGB et GBD equales alternis fecit, equidistans ergo est recta AG recte BD.
lat Gerard
Ipsi vero sunt coalterni, linea igitur AG linee BD equidistat.
lat Adelard
Cum ergo superveniente linea AD lineis AG et BD, facti sunt duo anguli coalterni, qui sunt GAD et ADB, equales, erunt linee AG et BD equidistantes.
Pic983
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi p. 23
فـ(ا ج) مساو لـ(ب د) [د] وايضا متبادلتا (ا ج ب) (د ب ج) متساويتان فـ(ا ج) مواز لـ(ب د) [كز]
ara Nairizi p. 144
فقد اخرج على خطى (ا ج) (ب د) خط (ا د) فضير زاويتى (ج ا ب) (ا د ب) المتبادلتين متساويتين فببرهان (كز) من (ا) يكون خط (ا ج) موازيا لخط (ب د)
san 51,25-26
tataḥ ajabhujo vadabhujena samānāntaro jātaḥ |
Pic744
lat Clavius
Cum igitur hi anguli sint alterni inter rectas A C, B D, erunt A C, B D, parallelæ:
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