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 375
le so also is L, and the polar of P inthis case is the tangent at P. Corollary 2. If, as in the right-hand figure, the line TL meet thecircle in Q and R then the straight lines PQ, PR would be tangentsat Q, R. For OL . 0P = (radius)2, and QLR is perpendicular to OP. Hence, if the point P lie… … Let Q be any point on the polar LQ of a point P. Draw OPL per-pendicular to LQ, 0 being the centre. Then OP . 0L-: (radius)2. [Art. 42. Join OQ and draw PM perpendicular to OQ. Then since PLQ, PMQ are right angles, a circle will pass through P, L, Q, M; .-. OM.OQ = OP.OL [IIL 36. = ( radius )2.…
Euclid's Elements · Geometry · Mathematics, Greek
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