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 219
n two points, which shall be harmonic conjugates to the givenpoints. Let the tangents at the given points A and B meet in 0.Join the given point to 0. This is manifestly the required trans-versal. 222. If two circles intersect, and if from either point ofintersection two diameters be drawn, the… … two diameters. Join CB, DB and AB. The angles ABC andABD in semicircles are right, and therefore CB and BD mustcoincide, and form one straight line, and CD is perpendicular to AB. Q. E. D. 223. If through any point 0, on the circumference of acircle, any three chords be drawn, and on each, as…
Geometry
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