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 242
on the polarof F. For join EP, and let CA and BD meet EP in K and L,respectively. Because K is the harmonic conjugate to F, withrespect to A and C, and L to F with respect to D and B, thereforeKL is the polar of F. q. e. d. 242.] AND IN MODERN GEOMETRY. 2] 3 242. Prove (by a method applicable to… … circle at A and B respectively. Through P draw any secant PE,meeting the circle at M and E, and the chord of contact AB at (9,and through M and E draw KL and CD parallel to AB. HP bejoined with the centre, it is clear that the joining line will bisectKL and MJV, CD and EE, and AB at right angles;…
Geometry
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