Examples of the Processes of the Differential and Integral CalculusJ. and J.J. Deighton, 1846 - 529 стор. |
З цієї книги
Результати 1-5 із 68
Сторінка iii
... the principles of the Calculus . I wished by these means to render this Collection , as it were , complementary to those works , and , with the view of allowing it to be a read in connection with any of them , I have.
... the principles of the Calculus . I wished by these means to render this Collection , as it were , complementary to those works , and , with the view of allowing it to be a read in connection with any of them , I have.
Сторінка 1
... means of the theorem du = du dy dx 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 du du dv ds dy = dx da dv ds dy Ex . ( 1 ) Let u = ( a + bx ...
... means of the theorem du = du dy dx 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 du du dv ds dy = dx da dv ds dy Ex . ( 1 ) Let u = ( a + bx ...
Сторінка 28
... means of the formulæ , dy dx = dx dy " ď y d.r2 = dy2 da d 39 d'y dx3 3 ( d ) dy 2 dx dx 5 dy dy dx dy and similarly for higher orders . The reader will find the demonstration of a general formula for the change of the nth differential ...
... means of the formulæ , dy dx = dx dy " ď y d.r2 = dy2 da d 39 d'y dx3 3 ( d ) dy 2 dx dx 5 dy dy dx dy and similarly for higher orders . The reader will find the demonstration of a general formula for the change of the nth differential ...
Сторінка 29
... means of simplification . ( 1 ) Change the formula dy + ( d ) " } dy dy + ( y - a ) = 0 dx da into one where y is the independent variable . The result is 1 + dy ( da ) * - dx ( y - a ) = 0 . dy ( 2 ) The expression for the radius of ...
... means of simplification . ( 1 ) Change the formula dy + ( d ) " } dy dy + ( y - a ) = 0 dx da into one where y is the independent variable . The result is 1 + dy ( da ) * - dx ( y - a ) = 0 . dy ( 2 ) The expression for the radius of ...
Сторінка 42
... + ( da ) dx + dy ( d ) " } = ffd0d & sin 0 { a2b2 ( cos 0 ) 2 + ( c sin ( ) 2 ( a2 sin2 + b2 cos ̊p ) } 1 . Ivory , Phil . Trans . 1809 . CHAPTER IV . ELIMINATION OF CONSTANTS AND FUNCTIONS BY MEANS 42 CHANGE OF THE INDEPENDENT VARIABLE .
... + ( da ) dx + dy ( d ) " } = ffd0d & sin 0 { a2b2 ( cos 0 ) 2 + ( c sin ( ) 2 ( a2 sin2 + b2 cos ̊p ) } 1 . Ivory , Phil . Trans . 1809 . CHAPTER IV . ELIMINATION OF CONSTANTS AND FUNCTIONS BY MEANS 42 CHANGE OF THE INDEPENDENT VARIABLE .
Інші видання - Показати все
Загальні терміни та фрази
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