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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
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Click to Expand/Collapse OptionBook ΙΧ
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gre ΙΙI,4
Ἐπεὶ οὖν εὐθεῖά τις διὰ τοῦ κέντρου ἡ ΖΕ εὐθεῖάν τινα μὴ διὰ τοῦ κέντρου τὴν ΑΓ δίχα τέμνει, καὶ πρὸς ὀρθὰς αὐτὴν τέμνει:
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eng
Then, since a straight line FE through the centre bisects a straight line AC not through the centre, it also cuts it at right angles; [III. 3]
lat Sic
Quoniam ergo recta quedam ZE per centrum rectam quandam AG per equalia dividit, et ad rectos ipsam dividit.
lat Gerard
Iam ergo egreditur a centro circuli linea ad punctum H et secat lineam GD in duo media, ergo sequitur ex hoc, ut ipsam super rectos angulos secet.
lat Adelard 47v
Producta itaque est de centro circuli linea usque ad H lineam GD in duo media dividens, supra punctum H et supra angulum rectum.
lat Hermann 19r
Hoc itaque pacto erit linea a centro super aliam veniens secansque eam per medium
ara Uppsala 29a15-16
فقد حرج من ' خط الي ح فقطع ج د صفين فهو يقطعه علي زاوية قايمة
ara Tuṣi p. 49
كان عمـودا عليهما
ara Nairizi p. 16
فمن اجل انه قد حرج من نقطة ط التى هى المركز خط ط ح المستايم وقسم خط ج د بنصفين فبحسب برهان ج من ج فان خط ط ح عمود على خط ج د
san p. 97
iyaṃ tavarekhāyoḥ pūrṇajīvayor1 lambo bhaviṣyati |
1. Read pūrṇajyayor
lat Clavius
No Latin
kin 幾何原本
No Chinese
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