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 238
ough apoint, and the pole of that line be pined to the point, the first line andthe joining line form an harmonic pencil with the tangents fromthe point. 239. TJie polar of the point of intersection of any twostraight lines is the line which joins their poles, and, con-versely, the line joining two… … 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…
Geometry
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