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Elements of analytical geometry and the differential and integral calculus (1856)

Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 252

An illustration from Elements of analytical geometry and the differential and integral calculus, 1856, leaf 252
cannot be 1, for every power of1 is 1, and in that case the variations of x would produce novariations in y. Let MBMhe the logarithmiccurve whose equation is y=a,and make x=0, then we shallhave y:=a°=l=AB,and this will be the value of AB,whatever be the value of a, show-ing that all logarithmic… … 244 DIFFERENTIAL CALCULUS. When X is large, a small variation in x produces a much greatervariation to y. When X is negative, the equation becomes showing 2/ to be a fraction, or less than unity, but y cannot be-come zero until x becomes infinite and negative, showing thatthe curve will meet the…

Geometry, Analytic · Calculus

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