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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
Click to Expand/Collapse OptionBook VI
Click to Expand/Collapse OptionBook VII
Click to Expand/Collapse OptionBook VIII
Click to Expand/Collapse OptionBook ΙΧ
Click to Expand/Collapse OptionBook Χ
Click to Expand/Collapse OptionBook ΧI
Click to Expand/Collapse OptionBook ΧIΙ
Click to Expand/Collapse OptionBook ΧIΙΙ
gre I,5
καὶ ἐπεὶ ὅλη ἡ ΑΖ ὅλῃ τῇ ΑΗ ἐστιν ἴση, ὧν ἡ ΑΒ τῇ ΑΓ ἐστιν ἴση, λοιπὴ ἄρα ἡ ΒΖ λοιπῇ τῇ ΓΗ ἐστιν ἴση.
Pic88
Pic634
eng
And, since the whole AF is equal to the whole AG, and in these AB is equal to AC, the remainder BF is equal to the remainder CG.
lat Sic
Et quoniam tota AZ toti AI est equalis quarum recta AB recte AG est equalis, reliqua ergo BZ relique GI est equalis.
lat Gerard
Et iterum quia linea ZA equalis est linee AH et due linee que sunt partes earum videlicet BA; AG sunt equales, erit linea BZ reliqua linee G h relique equalis.
lat Adelard
Atque linea AZ sicut linea AH et AB sicut AG. Relinquitur itaque GH sicut BZ.
Pic978
lat Hermann
lineaque AZ ei quam AH metiuntur lineaque AB ei qua AG terminant, relinquitur ergo et BZ ei que est GH esse equalem.
ara Uppsala 4v,4-5
ولأن خط (ز ا) إنما مساو لخط (ا ح) وخطا (ب ا) (ا ج) منهما متساويان يكون خط (ب ز) الباقي ' مساويا لخط (ج ح) الباقي
ara Tuṣi
[...]
ara Nairizi p. 56
ولانا كنا فصلنا خط (ا ح) مثل خط (ا ز) وساف (ا ب) فرض مساويا لساف (ا ج) فاذا اسقطنا (ا ب) (ا ج) المتساويين من (ا ز) (ا ح) المتساويين فمن البين بحسب المصادرة ان يبقى خط (ب ز) مثل خط (ج ح)
san 12,6
No Sanskrit
lat Clavius
Quoniam vero rectæ A D, A F, æquales sunt, per constructionem, fit ut, si auferantur ex ipsis æquales A B, A C, & reliquæ B D, & C F, sint æquales.
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