An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 48
be a harmonic range, then every circle which passesthrough the points P, Q is cut orthogonally by the circle described on AB asdiameter. … Let the circle described with centre 0 which passes through P and Q, cutthe circle described on AB as diameter in the point X; and let C be themiddle point of AB. Then we have, by § 55, CX^=CA-=CP.CQ.Therefore CX touches the circle PXQ; and therefore CXO is a rightangle. Ex. 7. If two circles cut…
Geometry
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