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Euclid: Elementa

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Euclid: Elementa
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gre ΙΙI,32
Καὶ ἐπεὶ κύκλου τοῦ ΑΒΓΔ ἐφάπτεταί τις εὐθεῖα ἡ ΕΖ κατὰ τὸ Β, καὶ ἀπὸ τῆς ἁφῆς ἦκται τῇ ἐφαπτομένῃ πρὸς ὀρθὰς ἡ ΒΑ, ἐπὶ τῆς ΒΑ ἄρα τὸ κέντρον ἐστὶ τοῦ ΑΒΓΔ κύκλου.
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eng
Then, since a straight line EF touches the circle ABCD at B, and BA has been drawn from the point of contact at right angles to the tangent, the centre of the circle ABCD is on BA. [III. 19]
lat Sic
Et quoniam circulum ABGD contingit aliqua recta EZ secundum punctum B et ab eo qui secundum B contactu tracta est contingenti ad rectos recta BA, in recta ergo BA centrum est ABGD circuli.
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ara Uppsala
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ara Tuṣi
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ara Nairizi
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per Shirazi
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san
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lat Clavius
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kin 幾何原本
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