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 239
Fig. i. . either P or both C and D lie within the circle. Since PF is drawnthrough C and its polar AP, it is cut harmonically in E and C. Inlike manner, PH is cut harmonically in G and 1). Therefore CDis the polar of P (237, Cor.). M. G. 14 210 EXERCISES ON EUCLID [239, Next (Fig. 2), let C be… … Fig. 2. and M meet in C the pole of PA. Take L the harmonic conjugateto P with respect to M and K\ then LD is the polar of P (237,Cor.), but (238) C lies on the polar of P, therefore LD producedpasses through C. Lastly (Fig. 3), let both C and D lie without the circle, and letPA and PB cut the…
Geometry
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