An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 299
, such that PP, Q^shall pass through a given point 0. Ex. 8. Describe a circle which shall touch three given circles*. Let A, B, C be the centres of the given circles ; and suppose that a circlecan be drawn touching them at the points P, Q, R, respectively. Then thetriangles PQR, ABC are in… … centres of the given circles on this axis of perspective. Through X drawany straight line cutting the circles whose centres are B and C in thepoints §( and R^, and let ZQ^, YR^ cut the circle whose centre is A in Pjand Pl. Then, if a pencil of lines be drawn through X, it is clear that thepencils…
Geometry
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