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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
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gre ΙΙI,3
Ἔστω κύκλος ὁ ΑΒΓ, καὶ ἐν αὐτῷ εὐθεῖά τις διὰ τοῦ κέντρου ἡ ΓΔ εὐθεῖάν τινα μὴ διὰ τοῦ κέντρου τὴν ΑΒ δίχα τεμνέτω κατὰ τὸ Ζ σημεῖον:
Pic2514
eng
Let ABC be a circle, and in it let a straight line CD through the centre bisect a straight line AB not through the centre at the point F;
lat Sic
Esto circulus ABG et in ipso recta quedam GD per centrum rectam quandam AB non per centrum in duo equalia dividat secundum Z punctum.
lat Gerard
In circulo AB cadat linea super quam est GD non transiens per centrum et sit diametrus circuli linea AB.
lat Adelard 47v
Sit circuli AB linea GD supra centrum non transiens sitque circuli diametros AB.
lat Hermann 19r
Ut enim sit intra circulum AB linea GD preter centrum deducta veniatque desuper circuli diametrum AB ortogonaliter, illam et per equalia dividere necesse est.
ara Uppsala 28v24-29r1
مثله انه وقع في دايرة ' ا ب وتر ج د علي غير المركز 1 والقطر ا ب
1. Deleted by the scribe: فاقول ان
ara Tuṣi p. 49
مثلا في دائرة ا ب خرج الى وتر ج د من مركـز ز خط ز ه وقد نصف ج د على ه
ara Nairizi p. 12
مثاله ان دائرة ا ب مركزُها نقطة زَ وقد اُجيزَ على زَ خطُ ا ب وقد قطع خط ج د على نقطة ه
san p. 95
yathā abavṛtte jadapūrṇajyāyāyā jhakendrān nisṛtayā jhaharekhayā saṃpātaḥ kṛtaḥ | punar jadahacihne tathaivārddhitaṃ kṛtaṃ
lat Clavius p. 101
PER A, centrum circuli BCD, recta CE, extensa dividat rectam BD, non per centrum extensam, bifariam in F.
kin 幾何原本 卷三,三
解曰。乙丙丁圜。有丙戊線。過甲心。分乙丁線為兩平分於己。
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