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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
Click to Expand/Collapse OptionBook ΙI
Click to Expand/Collapse OptionBook IΙΙ
Click to Expand/Collapse OptionBook IV
Click to Expand/Collapse OptionBook V
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Click to Expand/Collapse OptionBook ΙΧ
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gre I,18
Ἐπεὶ γὰρ μείζων ἐστὶν ἡ ΑΓ τῆς ΑΒ, κείσθω τῇ ΑΒ ἴση ἡ ΑΔ, καὶ ἐπεζεύχθω ἡ ΒΔ.
Pic348
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eng
For, since AC is greater than AB, let AD be made equal to AB [I. 3], and let BD be joined.
lat Sic
Quoniam enim maior est AG quam AB, iaceat recte AG equalis AD. Et copuletur GD.
lat Gerard
Probatio huius: Quoniam latus AG latere AB longius est, abscidam ex linea AG lineam equalem linee AB sitque linea AE. Deinde copulabo duo puncta E et B protrahendo lineam EB.
lat Adelard
Rationis causa: Si enim lineam AG equalem linee AB fecero sitque linea AH iungaturque H cum B linea HB facta, erit linea AB sicut linea AH.
lat Hermann
Quod ita constabit: si AG lineam ad equalitatem brevioris resecemus inque seccionis punctum E ex adverso angulo lineam BE producimus ut et infra fiat triangulus.
ara Uppsala
No Arabic
ara Tuṣi p. 11
وذلك لانا اذا فصلنا من (ا ب) (ا د) مثل (ا ج) [ج] ووصلنا (ج د)
ara Nairizi p. 86
برهان انا نفصل من ضلع (ا ب) الاعظم مثل ضلع (ا ج) الاصغر كما بينا ذلك بشكل (ج) من (ا) وليكن خط (ا د) ونصل (ج د) فساق (ا ج) مثل ساق (ا د) من مثلث (ا ج د) فمما بينا ببرهان (ه) تكون زاوية (ا ج د) مثل زاوية (ا د ج)
san 24,4-5
kutaḥ | yadi ababhuje ajatulyaṃ adaṃ1 pṛthak kriyate jadarekhā ca kriyate
Pic706
1. In the drawing a ja does not have the same length a da
lat Clavius
Nam ex A C, auferatur A D, æqualis ipsi A B, & ducatur recta B D.
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