An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 114
ated.Consequently we shall merely discuss the few special cases ofinterest which have been discovered. The most important ofthese is the case of the hexastigm in which three of the pointslie on one straight line, and the remaining three on anotherstraight line; and the correlative case of the… … A B C Let BC, BC intersect in X, CA, CA in Y, and AR, AB inZ. and let AF, BC, CA form the triangle PQR. Then since XCB, CYA, BAZ are transversals of the trianglePQR, we have by § 104, QX RG PBRX-PC-QE~ RY PA QC^.PYQA-RC PZ QB RA_^ QZ-RBPA 98 SPECIAL CASES OF HEXASTIGMS But since BCA, GAB are also…
Geometry
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