An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 130
mber ofpoints in which these intersect, apart from the vertices of the hexastigm, letus group the vertices in sets of four. This may be done in 6.5.4.3/24, i.e.15 ways. Now each group of four points forms a tetrastigm, which has threecentres. Hence, the connectors of a hexastigm will intersect in… … L. 114 pascals theorem. that the triangles XYZ, XYZ, XYZ are copolar, that is, are inperspective two and two, and have the same centre of perspective.Since the points A, B, C, D, E, F are coneyclic, we have byEuclid, Bk. III., Prop. 35, XE.XB = XG.XF,YG. YF^YA.YD,ZA.ZD=ZB . ZE.XE.XB YC. YF…
Geometry
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