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Euclid: Elementa

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Click to Expand/Collapse OptionBook I
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gre ΙΙI,3
Τῶν γὰρ αὐτῶν κατασκευασθέντων, ἐπεὶ ἴση ἐστὶν ἡ ΕΑ τῇ ΕΒ, ἴση ἐστὶ καὶ γωνία ἡ ὑπὸ ΕΑΖ τῇ ὑπὸ ΕΒΖ.
Pic2514
eng
For, with the same construction, since EA is equal to EB, the angle EAF is also equal to the angle EBF. [I. 5]
lat Sic
Eisdem enim dispositis quoniam equalis est recta EA recte EB, equalis est et angulus qui sub EAZ ei qui sub EBZ.
lat Gerard
Quia linea GZ linee ZD est equalis, ergo angulus ZGD angulo ZDG est equalis.
lat Adelard 47v
Si enim GZ sicut ZD fuerit, erit angulus ZGD sicut angulus ZDG.
lat Hermann
Quoniam ZG et ZD equales erunt, eritque ita angulus ZGE angulo ZDE equalis.
ara Uppsala 29a6-7
برهانه ان ج زمثل ز د فزاوية ' ز ج د مثل زاوية ز د ج
ara Tuṣi p. 49
وذلك لتساوى زاويتـى ز ج ه، ز د ه
ara Nairizi p. 14
برهانه ان مثلث ج ز د متساوي الساقين ساق ز د مثل ســاق ز ج لانهما خرجا مِن المركز الى المحيط فبحســب برهان ه مـن ا فانّ زاوية ز ج د مساوية لـزاوية ز د ج
san p. 96
atropapattiḥ |
jhajahakoṇajhadahakoṇau mithas tulyau staḥ |
lat Clavius p. 101
Ductis enim iterum rectis AB, AD; cum latera AB, AD, trianguli ABD, sint aequalia, erunt anguli ABD, ADB, aequales.1
1. 5. primi.
kin 幾何原本 卷三,三
後論曰。如前作甲乙、甲丁、兩線。甲乙丁角形之甲乙、甲丁、兩邊旣等。則甲乙丁、甲丁乙、兩角亦等。一卷五
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