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 184
of which cuts the circle, and the other meets it, and if therectangle contained hy the whole line which cuts the circle, and thepart of it without the circle, be equal to the square on the line whichmeets the circle, the line which meets the circle shall he a tangent. Let any point D be taken… … Construction. Draw the straight line DE, touching the circle ABC; [IIL 17. find F the centre, [III. 1.and join FB, FD, FE. Proof. Because DE touches the circle ABC, and DCA cuts it, the rect. AD, DC = the square on DE. [IIL 36. But the rect. AD, DC = the square on DB; [Hypothesis. .-. the square on…
Euclid's Elements · Geometry · Mathematics, Greek
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