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Euclid: Elementa

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Euclid: Elementa
Click to Expand/Collapse OptionTitle
Click to Expand/Collapse OptionPreface
Click to Expand/Collapse OptionBook I
Click to Expand/Collapse OptionBook ΙI
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Euc
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gre IΙ,12
λέγω, ὅτι τὸ ἀπὸ τῆς ΒΓ τετράγωνον μεῖζόν ἐστι τῶν ἀπὸ τῶν ΒΑ, ΑΓ τετραγώνων τῷ δὶς ὑπὸ τῶν ΓΑ, ΑΔ περιεχομένῳ ὀρθογωνίῳ.
Pic626
Pic665
eng
I say that the square on BC is greater than the squares on BA, AC by twice the rectangle contained by CA, AD.
lat Sic
Dico quoniam quod a recta BG tetragonum maius est eis que a rectis BA, AG tetragonis eo bis quod sub rectis GA, AD continetur orthogonio.
lat Gerard
Dico ergo quod quadratum quod fit ex linea BG duobus quadratis que fiunt ex duabus lineis BA; AG existit tantum maius quantum est duplum superficiei rectorum angulorum, que comprehenditur ab his duabus lineis AG; AD.
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi p. 45
نقول فمربع (ب ج) اعظم من مربعى (ب ا) (ا ج) بضعف سطح (ا ج) القاعدة فى (ا د) الذى بين الزاوية وموقع العمود
ara Nairizi p. 68
فاقول ان المربع الكائن من ضلع (ا ج) اعظم من مجموع المربعين الكائنين من ضلعى (ا ب) (ب ج) بمثل ضعف السطح الذى يحيط به خطا (ج ب) (ب د)
per Shirazi
.
san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本
No Chinese
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