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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
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gre IΙ,3
τὸ ἄρα ὑπὸ τῶν ΑΒ, ΒΓ περιεχόμενον ὀρθογώνιον ἴσον ἐστὶ τῷ ὑπὸ τῶν ΑΓ, ΓΒ περιεχομένῳ ὀρθογωνίῳ μετὰ τοῦ ἀπὸ τῆς ΒΓ τετραγώνου.
Pic617
Pic657
eng
Therefore the rectangle contained by AB, BC is equal to the rectangle contained by AC, CB together with the square on BC.
lat Sic
Quod ergo sub rectis AB, BG continetur orthogonium equale est ei quod sub AG, GB continetur orthogonio cum eo quod a recta BG tetragono.
lat Gerard
Superficies igitur rectorum angulorum, que ab his duabus comprehenditur lineis AB; BG, superficiei rectorum angulorum, que ab his duabus continetur lineis AG; GB, et quadrato facto ex linea GB equari invenitur.
lat Adelard
Manifestum igitur est quoniam quod factum est ex ductu BA in AG sicut illud quod factum est ex ductu AG in GB et ex ductu AG in seipsam.
lat Hermann
Est igitur, quod AB in AG ducta procreat, eis que AG in se et in GB deducta producit, equale.
ara Uppsala
No Arabic
ara Tuṣi p. 38
فسطح (ا ه) هو سطح (ا ب) فى (ب ج) وهو مساو لمربع (ج ه) ولسطح (ا د) الذى هو سطح (ا ج) فى (ج ب)
Pic954
ara Nairizi p. 14
لكن سطح (ا ه) يحيط به خطا (ا ب) (ب ه) وخط (ب ه) مساو لخط (ب ج) لان سطح (ب ز) عمل مربعا
san 80,21-81,1
idam eva kṣetraṃ jabavarga(81)samajahakṣetraajajabaghātasamaadakṣetrayor yogatulyam |
lat Clavius
No Latin
kin 幾何原本
No Chinese
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