Examples of the Processes of the Differential and Integral CalculusJ and J. J. Deighton, 1846 - 529 стор. |
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Результати 1-5 із 80
Сторінка iii
... Theorems given in Elementary Treatises on the subject , but I have also introduced demonstrations of propositions which , although important and interesting , do not usually find a place in works devoted to the exposition of the ...
... Theorems given in Elementary Treatises on the subject , but I have also introduced demonstrations of propositions which , although important and interesting , do not usually find a place in works devoted to the exposition of the ...
Сторінка ix
... of the Differential Calculus to Geometry of Three Dimensions 200 XIV . Envelops to Lines and Surfaces XV . General Theorems in the Differential Calculus ........... 224 237 PART II . INTEGRAL CALCULUS . CHAPTER PAGE I. Integration.
... of the Differential Calculus to Geometry of Three Dimensions 200 XIV . Envelops to Lines and Surfaces XV . General Theorems in the Differential Calculus ........... 224 237 PART II . INTEGRAL CALCULUS . CHAPTER PAGE I. Integration.
Сторінка 1
... theorem du du dy = da dy dx y being some function of x , and u some function of y . This theorem may be extended to any number of functions , so that Ex . ( 1 ) du dx Let = Then y = a + bx ” , ( 2 ) dy dx = nbx " -1 , therefore du dv dz ...
... theorem du du dy = da dy dx y being some function of x , and u some function of y . This theorem may be extended to any number of functions , so that Ex . ( 1 ) du dx Let = Then y = a + bx ” , ( 2 ) dy dx = nbx " -1 , therefore du dv dz ...
Сторінка 10
... Theorem which bears his name . He also conceived the existence of differentials with fractional or irrational indices , but he made no steps towards the calculation of such functions in any cases . In recent years that branch of the ...
... Theorem which bears his name . He also conceived the existence of differentials with fractional or irrational indices , but he made no steps towards the calculation of such functions in any cases . In recent years that branch of the ...
Сторінка 13
... Theorem of Leib- nitz , the enunciation of which is as follows . If u , v be two functions of a , then d ' ( uv ) ' d'u dv dr - lu dx = v + r + dx dx dx r ( r − 1 ) ď2 v dr - 2u + & c . 1.2 dx2 dx - 2 Commer . Epis . Leib . et Bern ...
... Theorem of Leib- nitz , the enunciation of which is as follows . If u , v be two functions of a , then d ' ( uv ) ' d'u dv dr - lu dx = v + r + dx dx dx r ( r − 1 ) ď2 v dr - 2u + & c . 1.2 dx2 dx - 2 Commer . Epis . Leib . et Bern ...
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a² b2 a²x² angle arbitrary constant asymptote axis becomes C₁ c²x² Cambridge circle co-ordinates condition curvature curve cycloid cylinder determine differential coefficients differential equation dx dx dx dy dx dx² dy dx dy dy dy dy dz eliminate ellipse equal Euler find the value formula function Geometry gives Hence hypocycloid infinite Integrating with respect intersection John Bernoulli Let the equation lines of curvature locus logarithmic logarithmic spiral maximum minimum Multiply negative origin parabola perpendicular radius radius of curvature singular solution spiral Substituting subtangent surface tangent plane theorem tractory triangle vanish whence x²)³