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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
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gre IΙ,1
λέγω, ὅτι τὸ ὑπὸ τῶν Α, ΒΓ περιεχόμενον ὀρθογώνιον ἴσον ἐστὶ τῷ τε ὑπὸ τῶν Α, ΒΔ περιεχομένῳ ὀρθογωνίῳ καὶ τῷ ὑπὸ τῶν Α, ΔΕ καὶ ἔτι τῷ ὑπὸ τῶν Α, ΕΓ.
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eng
I say that the rectangle contained by A, BC is equal to the rectangle contained by A, BD, that contained by A, DE and that contained by A, EC.
lat Sic
Dico, quoniam quod sub A et BG continetur orthogonium equale est ei quod et sub A, BD continetur orthogonio et ei quod sub A et DE et adhuc ei quod sub A et EG.
lat Gerard
Dico igitur quod superficies rectorum angulorum, que comprehenditur a duabus lineis A et BG, superficiei rectorum angulorum, que comprehenditur ab his duabus lineis A et BD, et superficiei rectorum angulorum, que continetur ab his A; DE, et superficiei rectorum angulorum etiam, que comprehenditur ab his A; EG, est equalis.
lat Adelard
Dico quia quod fiet ex ductu linee A in partem BD et in partem DH et in partem HG erit sicut illud quod fuerit ex ductu A in BG.
lat Hermann
Illud itaque, quod ex linea A ducta in BD et DE et EG concrescunt, equum est ei, quod A in BG ducta componit.
ara Uppsala
No Arabic
ara Tuṣi
سطح (ا) فى (ب ج) يساوى مجموع (ا) فى خطوط (ب د) (د ه) (ه ج) التى هى اقسام (ب ج)
Pic952
ara Nairizi p. 6
فاقول ان السطح الذى يحيط به خطا (ا) (ب ج) مساوى لجماعة السطوح التى يحيط بها خط (ا) واقسام (ب د) (د ه) (ه ج)
san 79,7-8
yathā arekhābajarekhāghātaḥ dvitīyarekhāyāḥ badadahahajakhaṇḍānāṃ arekhāyāḥ ghātena samāno ’sti |
lat Clavius
No Latin
kin 幾何原本
No Chinese
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