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Euclid: Elementa

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Click to Expand/Collapse OptionBook I
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gre I,36
καὶ ἐπεὶ ἴση ἐστὶν ἡ ΒΓ τῇ ΖΗ, ἀλλὰ ἡ ΖΗ τῇ ΕΘ ἐστιν ἴση, καὶ ἡ ΒΓ ἄρα τῇ ΕΘ ἐστιν ἴση.
Pic362
Pic649
eng
Then, since BC is equal to FG while FG is equal to EH, BC is also equal to EH. [C.N. 1]
lat Sic
Et quoniam equalis est recta GB recte ZI, recta vero ZI recte ET est equalis, et recta ergo BG recte ET est equalis.
lat Gerard
Et quia linea BG linee ZH est equalis et ZH linea linee ET equatur, erit linea ET equalis linee BG.
lat Adelard
erit linea BD sicut ZT et ZT sicut HH et BD sicut HH sibi equidistans,
lat Hermann
eritque BD equalis EH.
ara Uppsala
No Arabic
ara Tuṣi p. 24
فيكونان متساويين متوازيين [لج] لكون خطى (ب ج) (ه ط)
ara Nairizi p. 150
وكنا فرضنا قاعدة (ب د) مثل قاعدة (زط) وسطح (ه زح ط) فرضناه متوازى الاعضلاع فببرهان (لد) من (ا) يكون خط (ه ح) مثل خط (زط) ومساوية لشى واحد فهى متساوية فخط (ب د) مساو لخط (ه ز)
san 54,25-55,2
ete rekhe samāne samānāntare ca bhaviṣyataḥ | bajarekhāhatarekhe ca samāne
Pic751
lat Clavius
Quoniam igitur recta C E, æqualis ponitur rectæ H D, & eidem H D, æqualis est G B, in parallelogrammo G H D B, opposita; erunt C E, G B, æquales inter se:
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