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Euclid: Elementa

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Euclid: Elementa
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gre ΙΙI,19
Ἐὰν κύκλου ἐφάπτηταί τις εὐθεῖα, ἀπὸ δὲ τῆς ἁφῆς τῇ ἐφαπτομένῃ πρὸς ὀρθὰς [γωνίας] εὐθεῖα γραμμὴ ἀχθῇ, ἐπὶ τῆς ἀχθείσης ἔσται τὸ κέντρον τοῦ κύκλου.
Pic2531
eng
If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the tangent, the centre of the circle will be on the straight line so drawn.
lat Sic
Si circulum contingat aliqua recta, a contactu vero contingenti ad rectos angulos recta linea protrahatur, in protracta erit centrum circuli.
lat Gerard
No Latin
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi
No Arabic
ara Nairizi
No Arabic
per Shirazi
.
san
No Sanskrit
lat Clavius p. 274
SI circulum tetigerit recta quæpiam linea, a contactu autem recta linea ad angulos rectos ipsi tangenti excitetur: In excitata erit centrum circuli.
kin 幾何原本 p. 148
直線切圜。圜內作切線之垂線。則圜心必在垂線之內。
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