An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 92
cles touch at T. This proof was given by Mr J. Young in the Educational Times (see E. T.Reprint, Vol. ll, p. 58). Ex. 8. Show that the nine-point circle of a triangle touches each of theescribed circles. THE COSINE CIRCLE. 75 The Cosine circle.129. If through the symmedian point of a triangle lines… … B x^ ^x C Let K be the symmedian point of the triangle ABC, and letYKZ, ZKX, XKY be drawn antiparallel to the sides BG, CA,AB respectively. The angles KXX, KXX are each equal to the angle BAG;therefore KX = KX. Similarly we have KY= KY, and KZ=KZ. But AK bisects all lines antiparallel to the side…
Geometry
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