An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 177
is a straight line. Ex. 15. The tangent at the point A to the circumcircle of the triangleABC meets the tangents at JS and C in C and B. If the lines OB, OCconnecting B and C to any point 0, meet BC in P and Q, show that AB, ACintersect BQ, CP, respectively, in points which lie on the polar of… … Let P, Q he a. pair of conjugate points with respect to thecircle SAB, and let the circle whose diameter is PQ cut the circleSAB in the points A and B. Let 0 be the centre of the circle SAB; and let OP cut thiscircle in M and N, and the circle PA Q in R. Then, since PRQ is a right angle, it follows…
Geometry
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