An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 110
c, d, will cut the lines c, d, a, b respectively in four colliuearpoints. Ex. 5. The points A, A; B,E; C, C ; are the opposite vertices of atetragram. From any point P in AA, the lines PB, PB are drawn to meetBC and BC in H and K respectively. Show that EC and EC intersect onthe line AA. 151. The… … Let L, M, N be the vertices of the diagonal triangle; andX, Y, Z the middle points of ^^, BB, CC. 94 PROPERTIES OF Since [MN, A A] is a harmonic range, and X the middle pointof AA, we have by § 54, Ex. 3, MX:NX = AM:AN\Similarly we shall have NY: LY=BN : BL\ LZ: MZ=GL ■.GM\ But since ABC is a…
Geometry
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