Barrow, Isaac, 1630-1677, Child, J. M. (James Mark), tr · Chicago, London : The Open court publishing company · leaf 124
F is the third of six means betweenPG and PE, then M = 7, and N = 3; and DS: DT = 3 : 7. * Note that in this case, FG : EG = LG : KG; and thus this is a par-ticular case of the curves in Lect. VIII, § 5; the analytical equivalent isd{a-\-by) — b . dyjdx. f Analytical equivalent:—l{y\s a7iy{\inci\on… … Fig. 95-then a straight line touching the curve may be drawn by asimilar method. Thus, let the straight line PG be drawnthrough F parallel to DB, cutting the curve EBE in E,and let EX touch the curve EBE at E; take PY, such thatN : M = PX : PY, and join FY.Then the straight line FY touches the…
Geometry
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