Examples of the Processes of the Differential and Integral Calculus |
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Page v
... integral notation is that , like the corresponding one for differentials , it is not applicable to all cases . Of this any one may satisfy himself by attempting to use it in transforming a multiple Integral from one system of ...
... integral notation is that , like the corresponding one for differentials , it is not applicable to all cases . Of this any one may satisfy himself by attempting to use it in transforming a multiple Integral from one system of ...
Page x
D. F. Gregory. PART II . INTEGRAL CALCULUS . CHAPTER PAGE I. Integration of Functions of One Variable 249 II . Integration by Successive Reduction 271 III . Integration of Differential Functions of Two or more Variables .... 282 IV ...
D. F. Gregory. PART II . INTEGRAL CALCULUS . CHAPTER PAGE I. Integration of Functions of One Variable 249 II . Integration by Successive Reduction 271 III . Integration of Differential Functions of Two or more Variables .... 282 IV ...
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a² b2 a²x² angle arbitrary constant assume asymptote becomes branches C₁ Cambridge circle co-ordinates condition Crelle's Journal curvature curve cycloid determine differential coefficients differential equation dx dx dx dy dx dx² dy dx dy dy dy dy dz dz dz eliminate ellipse equal Euler factor formula fraction function Geometry gives Hence hypocycloid infinite intersection John Bernoulli Let the equation lines of curvature locus logarithmic logarithmic spiral Multiply negative origin parabola perpendicular radius SECT singular points singular solution spiral Substituting subtangent surface tangent plane theorem triangle University of Cambridge vanish whence x²)³