An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 74
C touch the sides in thepoints X, Y, Z, show that the isotomic conjugate points with respect to thesides of the triangle, are points of contact of the escribed circles of thetriangle. Ex. 3. In Ex. 1, show that the areas {XYZ), {XYZ) are equal, and that[BOC) . {BOC) = {COA). {CaA) = {AOB) . {AOB).… … C x\ Through A draw AX parallel to BC to cut the straight line.YFZ in the point Z. Then by similar triangles, CY:GX=AY:AX; BX:BZ = AX:AZ. m, . BX CY AY Therefore GXBZ = AZ^ or -PT--.T ■ -r^f ■ ^FTTi = 1. BX CY AZCXAYBZ 58 TRANSVERSALS OF This formula may also be written BX C7 AZ__XC ■ YA ■ ZBand…
Geometry
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