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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
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gre ΙΙI,14
ἐν δὲ κύκλῳ ἴσον ἀπέχειν ἀπὸ τοῦ κέντρου εὐθεῖαι λέγονται, ὅταν αἱ ἀπὸ τοῦ κέντρου ἐπ᾽ αὐτὰς κάθετοι ἀγόμεναι ἴσαι ὦσιν:
Pic2526
eng
But in a circle straight lines are said to be equally distant from the centre when the perpendiculars drawn to them from the centre are equal; [III. Def. 4]
lat Sic
In circulo autem equaliter distare a centro recte dicuntur quando a centro in ipsas catheti ducte equales fuerint.
lat Gerard
Ipse autem sunt perpendiculares, elongatio igitur linearum GD et EZ a centro est equalis, quoniam linee quanim elongatio a centro est equalis sunt quarum perpendiculares que ad eas a centro protrahuntur sunt equales.
lat Adelard 49v
Distant itaque GD et HZ a centro equaliter. Omnium enim linearum quarum perpendiculares a centro ad eas procedentes sunt equales earum distantias a centro equales esse.
lat Hermann 21r
que linearum a centro distancie sunt, igitur equaliter distant. Sequitur ut ergo equales sunt.
ara Uppsala
No Arabic
ara Tuṣi
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ara Nairizi
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san
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lat Clavius
No Latin
kin 幾何原本
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