Barrow, Isaac, 1630-1677, Child, J. M. (James Mark), tr · Chicago, London : The Open court publishing company · leaf 163
so the definition of the paraboliforms isgiven. Now it is clear from the adjoining figure thatif AHLE is a paraboliform, whose exponent isrls{ = \la say), then LK/HK = a . LM/AM ; andconversel)^ Let AlFB be a curve such that FM/R = LK/HK = a . LM/AM ;then, by Lect. XI, § 19, area AFBD = R . DE.But,… … LECTURE XI—APPENDIX 143 3. Let AEB, AFB be any two curves, having the axis ADand the ordinate BD common, so related that, if any straightHne EFG is drawn parallel to BD, cutting the given lines inthe points E, F, G, and ES, FT touch the curves AEB, AFBrespectively, TO is always greater than SG ;…
Geometry
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