Barrow, Isaac, 1630-1677, Child, J. M. (James Mark), tr · Chicago, London : The Open court publishing company · leaf 112
ight line, and let two curves YFN, ZGObe so related that, if any straight line EFG is drawn parallelto AB, a straight line given in position,the intercepts EG, EF always bear toone another the same ratio ; also letthe straight line TG touch ZGO, one ofthe curves in G and meet IE in T;then TF, being… … 92 BARROWS GEOMETRICAL LECTURES hence the line TF falls altogether without the curve YFN.* Otherwise. It can be shown that IL: IK = OL: NK; hence,by § 4 above, since GL, GO touch, FN, FK also touch. 6. Moreover, if three curves XEM, YFN, ZGO are so relatedthat, if any straight line EFG is drawn…
Geometry
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