The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books; (1903)
Euclid, Todhunter, I. (Isaac), 1820-1884, ed. edt, Simson, Robert, 1687-1768, ed. edt · London; New York, Macmillan · leaf 138
ready shewn. Wherefore, if any point be taken, etc, [q.e.d. 126 EUCLIDS ELEMENTS. Proposition 9. Theorem. If a point he taken within a circle, from which there can hedrawn more than two equal straight lines to the circumference, thatpoint is the centre of the circle. Let the point D be taken within… … Construction. Join DE, and produce it both ways to meetthe circumference at F and G. Proof. D is a point within the circle which is not itscentre, and from it more than two equal straight lines,namely, the three straight lines DA, DB, DC, have beendrawn to the circumference; but this is impossible…
Euclid's Elements · Geometry · Mathematics, Greek
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