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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
Click to Expand/Collapse OptionBook IΙΙ
Click to Expand/Collapse OptionBook IV
Click to Expand/Collapse OptionBook V
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Click to Expand/Collapse OptionBook ΙΧ
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gre IΙ,8
καὶ ἐπεὶ ἴση ἐστὶν ἡ ΒΓ τῇ ΒΔ, ἡ δὲ ΗΚ τῇ ΚΝ, ἴσον ἄρα ἐστὶ καὶ τὸ μὲν ΓΚ τῷ ΚΔ, τὸ δὲ ΗΡ τῷ ΡΝ.
Pic622
Pic661
eng
And, since BC is equal to BD, and GK to KN, therefore CK is also equal to KD, and GR to RN. [I. 36]
lat Sic
Et quoniam equalis est recta quidem GB recte BD, recta vero IK recte KN, equale ergo est et GK ei quod est KD. At vero IR ei quod est RN.
lat Gerard
Superficies ergo equidistantium laterum GK superficiei equidistantium laterum BN est equalis et superficies FQ superficiei KR et etiam superficies CT superficiei EQ equatur. Et quia GK superficies equidistantium laterum superficiei equidistantium laterum BN et superficies FQ superficiei KR
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi
No Arabic
ara Nairizi p. 40
فبحسب رسمنا شكل [د] من [ب] ونظمنا البرهان هناك يبين ان كل واحد من سطحى (ب ن) (ف ع) مربع قائم الزوايا متساوى الاضلاع وان سطح (ب ن) مربع خط (ب د) وان سطح (ف ع) مربع خط (ج ب) وكذلك سطح (م ط) مربع وسطح (ص ح) مربع متساوى الاضلاع
san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本
No Chinese
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