A Treatise on the Differential Calculus |
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Page vii
... • 80 Maxima and minima corresponding to indeterminate differential coefficients 120 81 Application of indeterminate multipliers to problems of maxima and minima 122 Article 82 , 83 Taylor's theorem CHAPTER VII . Development CONTENTS . vii.
... • 80 Maxima and minima corresponding to indeterminate differential coefficients 120 81 Application of indeterminate multipliers to problems of maxima and minima 122 Article 82 , 83 Taylor's theorem CHAPTER VII . Development CONTENTS . vii.
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... corresponding point of the evolute 213 · 139 Generation of the involute by the end of a thread unwound from the evolute 214 140 To find the length of any arc of the evolute of a curve 215 CHAPTER VII . Contact of Curves . Definition of ...
... corresponding point of the evolute 213 · 139 Generation of the involute by the end of a thread unwound from the evolute 214 140 To find the length of any arc of the evolute of a curve 215 CHAPTER VII . Contact of Curves . Definition of ...
Page 1
... corresponding variation in the magnitude of the other , either of these quantities is said to be a function of the other . Such a connection is expressed algebraically by means of an equation involving the symbols of the two quantities ...
... corresponding variation in the magnitude of the other , either of these quantities is said to be a function of the other . Such a connection is expressed algebraically by means of an equation involving the symbols of the two quantities ...
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... corresponding to con- secutive values of x . Thus , in the instance of the curve y = x 1 - a 9 the asymptote , of which the equation is x = a , is touched at opposite ends by the curve for two consecutive values of x , one greater and ...
... corresponding to con- secutive values of x . Thus , in the instance of the curve y = x 1 - a 9 the asymptote , of which the equation is x = a , is touched at opposite ends by the curve for two consecutive values of x , one greater and ...
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... corresponding to two systems of real values of x and y , however near they may be to each other . These anomalous functions are inapplicable to questions of natural philosophy , and have attracted but little attention even in pure ...
... corresponding to two systems of real values of x and y , however near they may be to each other . These anomalous functions are inapplicable to questions of natural philosophy , and have attracted but little attention even in pure ...
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Common terms and phrases
algebraical arbitrary functions asymptote axis Cambridge change sign College constant cosec curve d'u d'u d'u dz d²r d²u d²x d²z d2z d2z D³u d³x d³y d³z denoting df df df dx differential equations dr dr du dy du² dv₁ dx dx dx dy dx dx dz dx² dx³ dxdy dy df dy dx dy dy,dy dy² dy³ dz dx dz dy dz dz dz² eliminate expression f(y₁ find the Differential formula ƒ Y₁ Hence implicit function indefinitely independent variables indeterminate limit maxima and minima maximum or minimum minimum value negative partial differential coefficients points of inflection positive quantity proposed equation putting regard shews Suppose tangent Taylor's Theorem theorem total differential Trinity College whence y+dy Y₂ zero аф бу бх
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