An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 93
at B and C to the circumcircle of the triangle ABCintersect in ^i, show that the circle whose centre is K-^ and which passesthrough B and C wiU cut AB, JC in two points which are extremities of adiameter. This circle has been called an ex-cosine circle. 76 THE LEMOINE CIRCLE. The Lemoine circle.… … Let K be the symmedian point of the triangle ABC, and letYKZ, ZKX, XKY be drawn parallel to the sides BG. CA, ABrespectively. Let S be the circumcentre of the triangle, and Lthe middle point of SK. Let AK meet TZ in A. Then since KYAZ is a parallelo-gram, A is the middle point of AK. Hence SA =…
Geometry
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