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 251
l of Mathematics for June, 1862, p. 272. 251. If a system of circles have a pole and polar incommon, they shall have the same radical axis. Let F be the pole, and 1IK the polar. From F draw FFperpendicular to HK. and on FF as diameter, describe the circlewith centre 0. In FF take any point C… … Therefore i^is the pole, and UK its polar, with respect to the circle((7), and the perpendicular through 0 to FF is clearly the radicalaxis of the system of circles, of which (C) is one (216). Q. e. d. 252. If any circle cut two given circles orthogonally, thestraight line joining any point in…
Geometry
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