Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 177
sily seen that the radical axis is perpendicularto the line joining the centres of the circles. For thesecentres are the points (—g, -f) and (-^1, —/i)- The m of the line ioining them is therefore -^—7 {, ^ ^ -9x-{-9) i.e. -tA.9-9i The ?7i of the line (3) is - 7—§. The product of these two ms is -… … R, ^^^ \ >v ~~^^^/ ^ ^v / \ A. ^ — Ss / * / \ /^ 7\ 1 I \ o. o o. Fig. 1. Fig. 2. If the circles intersect in real points, F and Q^ as inFig. 1, the radical axis is clearly the straight line PQ.For if T be any point on PQ and TR and TS be thetangents from it to the circles we have, by Euc. iii.…
Coordinates · Geometry, Analytic
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