Examples of the Processes of the Differential and Integral CalculusJ. and J.J. Deighton, 1846 - 529 стор. |
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Сторінка 9
... Journal de l'Ecole Polytech- nique , Vol . x111 . , and in Crelle's Journal ; to two papers by Professor Kelland in the Transactions of the Royal Society of Edinburgh , Vol . XIV .; to Professor Peacock's Report on the Progress of ...
... Journal de l'Ecole Polytech- nique , Vol . x111 . , and in Crelle's Journal ; to two papers by Professor Kelland in the Transactions of the Royal Society of Edinburgh , Vol . XIV .; to Professor Peacock's Report on the Progress of ...
Сторінка 40
... Journal , Vol . 1. p . 122 . ( 7 ) Transform the double integral 1 ffx - yn- dy dx Sam - 1 into one where u and v are the independent variables , x , y , u , v being connected by the equations x + y = u , y = UV . dr dy Here dy dx = du ...
... Journal , Vol . 1. p . 122 . ( 7 ) Transform the double integral 1 ffx - yn- dy dx Sam - 1 into one where u and v are the independent variables , x , y , u , v being connected by the equations x + y = u , y = UV . dr dy Here dy dx = du ...
Сторінка 41
... Journal , Vol . XI . p . 307 : it is of great use in the investigation of the values of definite integrals . ( 8 ) Transform the double integral ffe22 + y2 dx dy into one where r and are the independent variables , having given x = r ...
... Journal , Vol . XI . p . 307 : it is of great use in the investigation of the values of definite integrals . ( 8 ) Transform the double integral ffe22 + y2 dx dy into one where r and are the independent variables , having given x = r ...
Сторінка 93
... Journal , Vol . x . p . 303. In the same Journal , Vol . xI . p . 134 and p . 292 , the reader will find some discussion on the real value of this indeterminate ex- pression . CHAPTER VII . MAXIMA AND MINIMA . SECT . 1. EVALUATION OF ...
... Journal , Vol . x . p . 303. In the same Journal , Vol . xI . p . 134 and p . 292 , the reader will find some discussion on the real value of this indeterminate ex- pression . CHAPTER VII . MAXIMA AND MINIMA . SECT . 1. EVALUATION OF ...
Сторінка 118
... be inscribed in the given triangle . See Cambridge Mathematical Journal , Vol . 1. p . 157 . ( 14 ) To find the least distance between two straight lines in space . Let the equations to the lines be x ----- a 118 MAXIMA AND MINIMA .
... be inscribed in the given triangle . See Cambridge Mathematical Journal , Vol . 1. p . 157 . ( 14 ) To find the least distance between two straight lines in space . Let the equations to the lines be x ----- a 118 MAXIMA AND MINIMA .
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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