A Treatise on the Differential Calculus |
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Page iv
... coordinate geometry . How far I may have succeeded in this attempt , and of the liability to failure in a work of such a nature I am fully sensible , will be determined by the judgment of the reader . In the composition of this work ...
... coordinate geometry . How far I may have succeeded in this attempt , and of the liability to failure in a work of such a nature I am fully sensible , will be determined by the judgment of the reader . In the composition of this work ...
Page viii
... coordinate axes 160 · 101 Equations to the tangent and the normal at any point of a curve 162 · 102 Distance of the origin of coordinates from the tangent 164 165 103 Intercepts of the tangent 104 Subtangent 105 Length of the tangent ...
... coordinate axes 160 · 101 Equations to the tangent and the normal at any point of a curve 162 · 102 Distance of the origin of coordinates from the tangent 164 165 103 Intercepts of the tangent 104 Subtangent 105 Length of the tangent ...
Page x
... coordinates of the centre of curvature Formulæ for the coordinates of the centre of curvature in 210 terms of partial differential coefficients of u 211 137 Locus of the centre of curvature 212 138 The normal at any point of the ...
... coordinates of the centre of curvature Formulæ for the coordinates of the centre of curvature in 210 terms of partial differential coefficients of u 211 137 Locus of the centre of curvature 212 138 The normal at any point of the ...
Page xi
William Walton. CHAPTER X. Curves referred to Polar Coordinates , Article Page 152 Tangency 235 153 Differential of an area 237 154 Diagram of differentials 238 155 Radius of curvature in terms of r and p 156 Chord of curvature through ...
William Walton. CHAPTER X. Curves referred to Polar Coordinates , Article Page 152 Tangency 235 153 Differential of an area 237 154 Diagram of differentials 238 155 Radius of curvature in terms of r and p 156 Chord of curvature through ...
Page 7
... coordinate geometry and other branches of pure mathematics , and to the estimation of the phenomena of nature . Ex . Let y3 : then y ' = x " 3 : whence = y ' - y = x13 — x3 бу бх = = x'2 ( x ' − x ) ( x22 + x'x + x2 ) , - + x'x + x2 ...
... coordinate geometry and other branches of pure mathematics , and to the estimation of the phenomena of nature . Ex . Let y3 : then y ' = x " 3 : whence = y ' - y = x13 — x3 бу бх = = x'2 ( x ' − x ) ( x22 + x'x + x2 ) , - + x'x + x2 ...
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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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