An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 261
rtant theorem, and at the sametime to show that the converse is true under all circumstances. Let Xi, X^, Xz, Xi denote any four circles which touch a circleX, in the points A, B, C, D. Let 0, Oi, Oj, O3, O4 be the centresof the circles X, Xi, X^, X^, X^; and let r, n, r-j, rs, r^ denotetheir… … Firstly let us suppose that the circle X touches each of thecircles X^, X^, X3, X^ in the same senseBy § 320, Ex. 16, we have 12: AB = 00^.00, :0 A. OB; 13^ -.AC=00,. 00, -.OA.OC; * The greater part of this section is taken from a paper by Mr A. Larmor; Proc. L. M. S. vol. xxiii, p. 135. (1891.)…
Geometry
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