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Euclid: Elementa

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Click to Expand/Collapse OptionTitle
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gre I,16
Ἐπεὶ οὖν ἴση ἐστὶν ἡ μὲν ΑΕ τῇ ΕΓ, ἡ δὲ ΒΕ τῇ ΕΖ, δύο δὴ αἱ ΑΕ, ΕΒ δυσὶ ταῖς ΓΕ, ΕΖ ἴσαι εἰσὶν ἑκατέρα ἑκατέρᾳ:
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eng
Then, since AE is equal to EC, and BE to EF, the two sides AE, EB are equal to the two sides CE, EF respectively;
lat Sic
Quoniam ergo equalis est AE quidem recta recte EG, recta vero BE recte EZ, due AE et EB duabus GE et EZ sunt equales, utraque utrique,
lat Gerard
Quia linea AE iam facta est equalis linee EG et linea BE similiter linee EZ equalis, due igitur linee AE et EB duabus lineis GE et EZ equales existunt, queque illarum equalis sue relative.
lat Adelard
Fiet AH sicut HG et BH sicut HZ. Quia autem linee AH et HB sicut linee GH et HZ unaqueque se respicienti equalis.
lat Hermann
His ita descriptis AE linea ei que est EG adequatur et EB ei que est EZ equalitate respondet sicque EB et AE eis que sunt EZ et EG opposita oppositis equalia reddunt.
ara Uppsala
No Arabic
ara Tuṣi p. 11
ضلعا (ب ه) (ه ا) مساويان اضلعى (زه) (ج ه) ومتقابلتاه متساويتان [يه]
ara Nairizi p. 82
فضلع (ا ه) من مثلث (ه ا ب) مساو لضلع (ه ج) من مثلث (ه ج ز) وضلع (ه ب) مثل ضلع (ه ز)
san 22, 14-15
tatra bahabhujaḥ (15) hajhabhujena samānaḥ | ahabhujaś ca hajabhujena samānaḥ |
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lat Clavius
Quoniam igitur latera C E, E B, trianguli C E B, æqualia sunt lateribus A E, E F, trianguli A E F, utrumque utrique, per constructionem;
kin 幾何原本
即甲戊己,戊乙丙,兩角形之戊己,與戊乙,兩線等。戊甲與戊丙兩線等。
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