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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,2
καὶ ἐπεζεύχθωσαν αἱ ΔΑ, ΔΒ, καὶ διήχθω ἡ ΔΖΕ.
Pic2513
eng
let DA, DB be joined, and let DFE be drawn through.
lat Sic
Et copulentur recte DA, DB. Et protrahatur recta DZE.
lat Gerard
et coniungatur Z, cum get cum D protrahendo lineas ZG, ZD. A puncto quoque Z protrahatur linea recta ZB usque ad arcum GD, quocumque modo cadat, et producatur usque ad punctum E.
lat Adelard 47r
Iungatur itaque Z cum G et D. Extrahaturque de puncto Z linea ad arcum GHD quolibet casu sitque ZB protracta usque ad H.
lat Hermann 19r
ab eadem centro producimus lineas ad G et D. Educamus deinde a media arcu GD rectam lineam in utramque partem a puncta B usque ad notas Z et E.1
1. Hermann seems to follow the figure from his Arabic source, having the point on the arch GD in the middle. However, all our Arabic sources saying that the point is made كيف ما وقع etc.
ara Uppsala 28v14
ويحرج ز ج، ز د ويخرج من ز الي قوس ج د خط ز ب كيف ما وقع وىخرجه الى ه
ara Tuṣi p. 49
ونصل ز ج، ز د ونعلم على ج ه د نقطة ه كيف وقعت ونصل ز ب ه
ara Nairizi p. 10
ونصل بين نقطتى ج ز ونقطتى ز د ونُخرج مِن نقطة ز إلى محيط دائرة اب خطا مستقيما كيف ما وقع ونُنزل انه خط ز ب ونُنزل انّا قد انفذناهُ الى نقطة ه
san p. 95
punaḥ jhadajhajarekhe kārye | jahadarekhāyāṃ hacihnaṃ kāryam | jhaharekhā kāryā |
lat Clavius p. 100
ducantur ab eo ad puncta assumpta A, et C, nec non ad quodvis punctum D, in recta ADC, lineae rectae EA, EC, ED, fecetque ED, circumferentiam in B.
kin 幾何原本 卷三,二
次作戊甲、戊丙、兩直線。次於甲丁丙線上作戊乙丁線
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