Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)
McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 254
be equal to that of the other four, A, B, C, D\ Join A to the points B, C, D, and A to B, C, D\ Since, through 0 two secants OA, OB are drawn, therefore(241) the point Q, in which AB and AB intersect, lies on thepolar of 0. Similarly the points R and S, in which AC, AC andAD, AD respectively… … The proof is similar when the point 0 is within the circle. Q. E. D. 256. The distances of any two points from the centre ofa given circle are to one another as the distances of each pointfrom the polar of the other. • Let A, B be the two given points, 0 the centre of the givencircle, KG the polar…
Geometry
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