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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 III,1
Μὴ γάρ, ἀλλ᾽ εἰ δυνατόν, ἔστω τὸ Η, καὶ ἐπεζεύχθωσαν αἱ ΗΑ, ΗΔ, ΗΒ.
Pic2512
eng
For suppose it is not, but, if possible, let G be the centre, and let GA, GD, GB be joined.
lat Sic
Non enim, sed si possibile, esto I et copulentur recte IA, ID, IB.
lat Gerard
Probatio huius: Quoniam aliter esse impossibile est. Sed si possibile fuerit, sit punctum T centrum et coniungam T cum G et T cum E et T cum D.
lat Adelard 47r
Aliter enim esse impossibile est. Quod si fuerit possibile punctum T sit centrum esse. Iungaturque T cum G et H et D,
lat Hermann 18v
Fortassis autem videbitur alius aptior, sitque hic ad notam T, continuamus itaque T cum E et G et D.
ara Uppsala 28v2
ولا يكن غيره فان امكن ليكن المركز نقطة ط فنخرج ط ج، وط ه، وط د
ara Tuṣi p. 48
والا فليكن المركز ط ونصل ط ج، ط د، ط ه
ara Nairizi p. 8
وأنه لا يُمكن أن يكون غيرَها مركزًا فإن أمكن أن يكون غير نقطة ح هي المركز فليكن مركزها نقطة ط ونخرج خطوط ط د، ط ه، ط ج.
san p. 94
atropapattiḥ ||
yady etat kendraṃ na syāt tacihnaṃ kendraṃ bhaviṣyati | punaḥ tajarekhā hatarakhā tadarekhāś ca kāryāḥ |
lat Clavius p. 99
In ipsa enim recta BD, aliud punctum, praeter F, non erit centrum, cum omne aliud punctum ipsam dividat inaequaliter, quandoquidem in F, divisa fuit aequaliter. si igitur F, non est centrum, sit punctum G, extra rectam BD, centrum, a quo ducantur lineae GA, GE, GC.
kin 幾何原本 卷三,一
論曰。如云不然。令言心何在。彼不得言在己之上、下。何者。乙丁線。旣平分於己。離平分。不能為心故。必 言心在乙丁線外、為庚。卽令自庚至丙、至戊、至甲。各作直線。
Pic3433
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