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Euclid: Elementa

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Euclid: Elementa
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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,13
ὥστε μόνον τὸ ἀπὸ τῆς ΑΓ ἔλαττόν ἐστι τῶν ἀπὸ τῶν ΓΒ, ΒΑ τετραγώνων τῷ δὶς ὑπὸ τῶν ΓΒ, ΒΔ περιεχομένῳ ὀρθογωνίῳ.
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eng
so that the square on AC alone is less than the squares on CB, BA by twice the rectangle contained by CB, BD.
lat Sic
Quare solum quod ab AG minus est eis que a rectis GB, BA tetragonis eo bis quod sub rectis GB, BD continetur orthogonio.
lat Gerard
Ergo quadratum quod fit ex linea AG tantum est minus duobus quadratis que fiunt ex duabus lineis GB; BA quantum est duplum superficiei rectorum angulorum, que comprehenditur ab his duabus lineis GB; BD.
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi p. 45
ويظهر ان مربع (ج ا) اصغر من مربع (ج ب) (ب ا) بضعف سطح (ج ب) فى (ب د)
ara Nairizi p. 74
فقد تبين ان المربع الكائن من ضلع (ا ج) اصغر من مجموع المربعين الكائنين من ضلعى (ا ب) (ب ج) بضعف 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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