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Euclid: Elementa

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Click to Expand/Collapse OptionPreface
Click to Expand/Collapse OptionBook I
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gre I,12
καὶ κέντρῳ μὲν τῷ Γ διαστήματι δὲ τῷ ΓΔ κύκλος γεγράφθω ὁ ΕΖΗ,
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eng
and with centre C and distance CD let the circle EFG be described; [Post. 3]
lat Sic
Centro G et spatio GD circulus scribatur EZI.
lat Gerard
Deinde ponam punctum G centrum super quod secundum quantitatem longitudinis G et D describam circulum DEZ,
lat Adelard
Ponaturque supra centrum G occupeturque spacium inter G et D circulo HDZ.
lat Hermann
fixo deinde circino in G occupatisque GD ambiat circulus EDZ,
ara Uppsala
[{6v,12}] ونخط على مركز (ج) وببعد (ج د) دائرة (د ه ز)1
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1. Note: د ه ز = ΕΖΗ (EFG), since Ar. د = Ζ and Δ (no distinction is made) and Ar. ز = Η (G). NB: In the diagram in Uppsala MS. O. Vet. 20 the two letters (i.e. د and ز) are misplaced.
ara Tuṣi
ونرسم على (ج) ببعد (ج د) دائرة (ه د ز) فهي يقطع الخط لا محالة [{10,1}] على نقطتين كـ(ه) (ز) فهي يقطع الخط لا محالة على نقطتين كـ(ه) (ز) 1
1. The phrase فهي يقطع الخط لا محالة على نقطتين كـ(ه) (ز)‏, ”which necessarily cuts the line at two points, e.g. E and G”, is added by Tusi. See Heath I.272.
ara Nairizi p. 74
وندير على نقطة (ج) وببعد (ج د) دائرة (د ه ز)
per Shirazi p. 28,12-13
و بر ج ببعد ج د دایره ه د ز بکشیم *ص
san 18,20-22
jaṃ kendraṃ kṛtvā jadavyāsārddhena (21) hadajhaṃ vṛttaṃ kāryam | idaṃ vṛttaṃ abare(22)khāyāṃ hajhacihne saṃpātaṃ kariṣyati |
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lat Clavius
Centro C, interuallo vero quolibet circulus describatur secans A B, in D, & E. (quoniam interuallum assumptum tantum esse debet, ut transcendat rectam A B; alias eam non secaret.)
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