An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 211
is a range ininvolution. Ex. 6. Through either homothetic centre of two given circles are drawntwo lines HP, Hp cutting the circles respectively in the points P, Q, p, q;P, Q, p, q; show that any pair of non-corresponding chords such as Pp,Qq will intersect on the radical axis of the given circles. … Since HP.HQ = Hp.H^ (Ex. 4), the points P, Q, p, q are concyclic.Therefore if Pp meet Qq in T,TP.Tp= Tq. Tq. Hence r is a point on theradical axis of the circles. CENTRES OF TWO CIRCLES. 195 Ex. 7. If from any point T, on the radical axis of two circles, tangents bedrawn to the circles; show that…
Geometry
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