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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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gre IΙ,12
ὥστε τὸ ἀπὸ τῆς ΓΒ τετράγωνον τῶν ἀπὸ τῶν ΓΑ, ΑΒ τετραγώνων μεῖζόν ἐστι τῷ δὶς ὑπὸ τῶν ΓΑ, ΑΔ περιεχομένῳ ὀρθογωνίῳ.
Pic626
Pic665
eng
so that the square on CB is greater than the squares on CA, AB by twice the rectangle contained by CA, AD.
lat Sic
Quare quod a recta GB tetragonum eis que a rectis GA, AB tetragonis maius est eo bis quod sub GA, AD continetur orthogonio.
lat Gerard
Quadratum ergo quod fit ex linea BG tantum est maius duobus quadratis que fiunt ex duabus lineis BA; AG quantum est duplum superficiei rectorum angulorum, que continetur ab his duabus lineis DA; AG.
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi p. 45
ويظهر ان مربع (ب ج) اعظم من مربعى (ب ا) (ا ج) بضعف السطح المذكور
ara Nairizi p. 70
فالمربع الكائن من ضلع (ا ج) اذن قد تبين انه اعظم من مجموع المربعين الكائنين من ضلعى (ا ب) (ب ج) بضعف السطح الذى يحيط به ضلع (ج ب) وخط (ب د)
per Shirazi
.
san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本
No Chinese
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