An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 94
erty the circle has been called the triplicate ratiocircle by Mr Tucker. Ex. 4. Show that the triangles ZXY, TZX are each similar to thetriangle ABC. Ex. 5. If SD be drawn perpendicular to YZ, show that ZD is equal toKY. 133. If on the line SK joining the circumcentre of a triangleABC to its… … will meet the sides of the triangle in six points which lie on acircle. The system of circles obtained by taking different points T onthe line KS is known as Tuckers system of circles. The proof that the six points lie on a circle is very similar tothat given in § 131. It is easy to see that TA is…
Geometry
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