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 255
e OA . BD = OB. AC, and therefore OA : OB :: AC : BD. q. e. d. N.B. This important theorem was discovered by the Rev.Dr Salmon, F. R. S. Fellow of Trinity College, Dublin, and RegiusProfessor of Divinity in the University. 257. The polar of a given point, with respect to anycircle of a co-axal… … the two circles (^1) and (B) orthogonally. This circle will cut theentire system orthogonally, since its centre 0 is on the radical axisof the system. Join BP, meeting the circle CPD in E, and join E to Q, theextremity of the diameter PQ, opposite to P. Then Q is the fixedpoint through which all…
Geometry
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