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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,7
τὰ ἄρα ἀπὸ τῶν ΑΒ, ΒΓ τετράγωνα ἴσα ἐστὶ τῷ [τε] δὶς ὑπὸ τῶν ΑΒ, ΒΓ περιεχομένῳ ὀρθογωνίῳ μετὰ τοῦ ἀπὸ τῆς ΑΓ τετραγώνου.
Pic621
Pic660
eng
therefore the squares on AB, BC are equal to twice the rectangle contained by AB, BC together with the square on AC.
lat Sic
Que ergo a rectis AB, BG tetragona equalia sunt et bis sub rectis AB, BG contento orthogonio cum eo quod a recta AG tetragono.
lat Gerard
Duo igitur quadrata facta ex linea AB et linea BG duplo superficiei rectorum angulorum, que ab his duabus comprehenditur lineis AB; BG; et quadrato facto ex linea AG sunt equalia.
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi p. 41
يساوى مجموع ضعف (ا ك) اللذى هو سطح (ا ب) فى (ب ج) ومربع (ط ح) اللذى هو مربع (ا ج)
ara Nairizi p. 34
فمربع (ا ه) مع مربع (ج ك) مساو لضعف السطح الذى يحيط به خطا (ا ب) (ب ج) مع مربع خط (ا ج) لكن مربع (ا ه) هو كائن من خط (ا ب) ومربع (ج ك) هو كائن من خط (ج ب) فمربع (ا ه) مع مربع (ج ك) اذا مساو لضعف السطح الذى يحيط به خطا (ا ب) (ب ج) ولمربع خط (ا ج)
per Shirazi
.
san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本
No Chinese
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