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The geometrical lectures of Isaac Barrow (1916)

Barrow, Isaac, 1630-1677, Child, J. M. (James Mark), tr · Chicago, London : The Open court publishing company · leaf 25

An illustration from The geometrical lectures of Isaac Barrow, 1916, leaf 25
D in T;also, if ordinates NYZ are drawn on eitherside of NY, cutting the curve in Y and thetangent in Z; then it is plain that theratio YN : NT is a maximum (or a mini-mum) when Y is the point of contact ofthe tangent. Here then we have all the essentials for the calculus;but only for explicit… … INTRODUCTION 5 authority of Poisson, Fermat is placed out of court, in that healso only applied his method to certain special cases. Follow-ing the lead of Roberval, Newton subsequently used thethird definition of a tangent, and the idea of time as theindependent variable, although this was only to…

Geometry

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