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 237
Fig. i, Let C be the centre of the circle and P the fixed point, and letthe tangents AD, BD at the extremities of the chord AB, passingthrough P, meet in D. Through D draw DP perpendicular to CP, meeting AB in F. … Fig. 2. Since CD bisects AB at right angles in E, and the angles DAC,DBG are right; therefore DC . CE - AC2 (39). But the angles DPP and DEP are also right, therefore thefour points D, E, P, P lie on the same circumference, and there-fore DC. CE= PC. CP\ Therefore PC. CP = AC\ and therefore 239.]…
Geometry
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