Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 118
epairs of circles (2, 3), (3, 1), (1, 2) respectively. Let a line AB hQ passed through 8^ and 8^. From the centres of the three circles draw three parallellines, i?j, R^ and B.^ to the line AB. Then, Because AB is a line passing through the centre of simili-tude 8^, lora PLANE ANALYTIC GEOMETRY. B,… … Therefore this line passes through the centre of similitude8, of the circles (1, 2). (Th. I.) Q. E. D. Theorem IV. Each direct centre of similitude lies in t^iesame line with the tiuo inverse centres of similitude lohich are7iotpaired luith it. The demonstration of this theorem is so nearly like…
Geometry, Analytic
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