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Euclid: Elementa
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Click to Expand/Collapse OptionPreface
Click to Expand/Collapse OptionBook I
Click to Expand/Collapse OptionBook ΙI
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gre I,3
Καὶ ἐπεὶ τὸ Α σημεῖον κέντρον ἐστὶ τοῦ ΔΕΖ κύκλου, ἴση ἐστὶν ἡ ΑΕ τῇ ΑΔ·
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Pic632
eng
Now, since the point A is the centre of the circle DEF, AE is equal to AD. [Def. 15]
lat Sic
Et quoniam a punctus centrum est circuli DEZ, equalis est recta AE recte AD.
lat Gerard
Huius probatio est: Quia punctum a existit centrum circuli DEZ, erit linea AZ linee AD equalis.
lat Adelard
Rationis causa: Quoniam punctus A factus est centrum circuli HZD, facta est linea AZ equalis linee AD.
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lat Hermann
A siquidem circuli centrum, AZ et AD lineas equali mensura contrahat
ara Uppsala
ولأن نقطة (ا) [{3v,9}] مركز دائرة (د ه ز) يكون خط (ا ز) مساويا لخط (ا د) [{3v,10}]
ara Tuṣi
[...]
ara Nairizi p. 52
فمن البين ان خط (ا ه) مثل خط (ا د)
per Shirazi
[...]
san 10,12
Cf. next record
Pic388
lat Clavius p. 41
Dico B E, detractam esse æqualem ipsi A. Quoniam B E, 1 . æqualis est rectæ B D, & eidem B D, æqualis est recta A, per constructionem;
1. 15. defin
kin 幾何原本 p.24
卽乙戊、與等甲之乙丁等。蓋乙丁、乙戊。同心、同圜故。界說十五。
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