An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 241
verse circles will alsotouch each other. If two circles touch they intersect in two coincident points. Itfollows that the inverse circles will intersect in two coincidentpoints, and therefore will touch each other. It should be noticed however that the nature of the contactwill not necessarily be… … Let P, Q be two near points on any circle, and let P, Q be theinverse points on the inverse circle. OF INVERSE FIGURES. 225 Then since OP. OP = OQ. OQ, the points P, P, Q, Q are concyclic. Therefore the angle OPQ isequal to the angle OQP. It may happen however that the point0 falls within the…
Geometry
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