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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,32
πάλιν, ἐπεὶ παράλληλός ἐστιν ἡ ΑΒ τῇ ΓΕ, καὶ εἰς αὐτὰς ἐμπέπτωκεν εὐθεῖα ἡ ΒΔ, ἡ ἐκτὸς γωνία ἡ ὑπὸ ΕΓΔ ἴση ἐστὶ τῇ ἐντὸς καὶ ἀπεναντίον τῇ ὑπὸ ΑΒΓ.
Pic361
Pic647
eng
Again, since AB is parallel to CE, and the straight line BD has fallen upon them, the exterior angle ECD is equal to the interior and opposite angle ABC. [I. 29]
lat Sic
Rursum quoniam equidistans est recta AB recte GE et in ipsas incidit recta BD, exterior angulus EGD equalis est interiori et opposito qui est ABG.
lat Gerard
Et quia etiam linea AB linee GE est equidistans et iam cecidit super eas linea recta BGD, erit angulus extrinsecus EGD angulo intrinseco qui ei opponitur ABG equalis.
lat Adelard
Item cum ceciderit linea BD supra duas lineas inconiunctivas AB et GH, erit angulus extrinsecus HGD sicut intrinsecus ei oppositus, qui est ABG.
lat Hermann
eumque, qui est EGD, ei, quem ABG componunt, ut extrinsecum intrinseco adequat,
ara Uppsala
No Arabic
ara Tuṣi p. 23
وزاوية (ح ج د) مساوية لزاوية (ب) [كط] لكونهما خارجة وداخلة
ara Nairizi p. 142
وايضا فانه قد اخرج خط على خطى (ا ب) (ج ه) المتوازيين فزاويتا (ا ب د) (ه ج د) المتقابلتان متساويتن ببرهان (كط) من (ا)
san 50,23-51,1
hajadakoṇo bakoṇena tulyo jātaḥ |
Pic742
lat Clavius
Rurus, quia recta B D, in easdem parallelas incidit, erit angulus externus D C E, æqualis interno B.
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