Smart, Edward Howard · London : Macmillian and Co. · leaf 218
is constant for allpositions of the transversal. Let V be the point of concurrence of the lines, and let pbe the length of the perpendicular drawn from V to thetransversal (Fig. 99). V … Fig. 99. Then AB . ^ = 2 A VAB = VA . VB sin AVB, CD .p = 2 A VCD = VC . VD sin CVD, AD.^ = 2AVAD=VA.VDsinAVD, CB .^ = 2 AVCB = VC . VB sin CVB. Dividing the product of the first two by that of the last two, and cancelling where necessary, we have AB . CD _ sin AVB . sin CVD AD . CB ~ sin AVD . sin…
Geometry, Projective
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