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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
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gre IΙ,13
λέγω, ὅτι τὸ ἀπὸ τῆς ΑΓ τετράγωνον ἔλαττόν ἐστι τῶν ἀπὸ τῶν ΓΒ, ΒΑ τετραγώνων τῷ δὶς ὑπὸ τῶν ΓΒ, ΒΔ περιεχομένῳ ὀρθογωνίῳ.
Pic627
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eng
I say that the square on AC is less than the squares on CB, BA by twice the rectangle contained by CB, BD.
lat Sic
Dico quoniam quod ab AG tetragonum minus est eis que a rectis GB, BA tetragonis eo bis quod sub rectis GB, BD continetur orthogonio.
lat Gerard
Dico ergo quod quadratum factum ex linea AG duobus quadratis que fiunt ex duabus lineis BG; BA tantum est minus quantum est duplum superficiei rectorum angulorum, que comprehenditur a duabus lineis GB; BD.
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi p. 45
نقول فمربع (ا ج) اصغر من مربعى (ا ب) (ب ج) بضعف سطح (ب ج) فى (ب د)
ara Nairizi p. 72
فاقول ان المربع الكائن من ضلع (ا ج) اصغر من مجموع المربعين الكائنين من خطى (ا ب) (ب ج) بمثل ضعف السطح الذى يحيط به خطا (ج ب) (ب د)
san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本
No Chinese
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