Examples of the Processes of the Differential and Integral CalculusJ and J. J. Deighton, 1846 - 529 стор. |
З цієї книги
Результати 1-5 із 77
Сторінка ix
... Elimination of Constants and Functions V. PAGE 1 9 28 43 Application of the Differential Calculus to the Development of Functions 62 52 VI . Evaluation of Functions which for certain values of the Variable become indeterminate 79 VII ...
... Elimination of Constants and Functions V. PAGE 1 9 28 43 Application of the Differential Calculus to the Development of Functions 62 52 VI . Evaluation of Functions which for certain values of the Variable become indeterminate 79 VII ...
Сторінка 35
... Eliminating we dy du = find du dy dr de dx da dy du • - - du dy • de dr dy da dr de dr de Eliminating we find dx du da du dx • du dr de de dr dy da dy dy dx - • • dr de dr de If r and be given explicitly in terms of x and we have at ...
... Eliminating we dy du = find du dy dr de dx da dy du • - - du dy • de dr dy da dr de dr de Eliminating we find dx du da du dx • du dr de de dr dy da dy dy dx - • • dr de dr de If r and be given explicitly in terms of x and we have at ...
Сторінка 36
... Eliminating de between these we find d a dy : d Ꮎ = dx dy dx dy - de dr dr de From this it follows that when dy we have dx = dx do . d Ꮎ dr . = 0 , dr = 0 . Hence Substituting these values in the double integral it becomes jjv ( dx dy ...
... Eliminating de between these we find d a dy : d Ꮎ = dx dy dx dy - de dr dr de From this it follows that when dy we have dx = dx do . d Ꮎ dr . = 0 , dr = 0 . Hence Substituting these values in the double integral it becomes jjv ( dx dy ...
Сторінка 37
... eliminating two of the three quantities dp , dq , dr . Supposing we eliminate the last two we have dx = Mdp , From this it follows that M being a function of p , q , r . when do 0 , dp = 0. Hence supposing y to vary while = and are ...
... eliminating two of the three quantities dp , dq , dr . Supposing we eliminate the last two we have dx = Mdp , From this it follows that M being a function of p , q , r . when do 0 , dp = 0. Hence supposing y to vary while = and are ...
Сторінка 42
... ' + ( da ) ' } ' [ fde do sin 0 { a'b ' ( cos 0 ) 2 + ( c sin 0 ) ( a2 sin2 + b2 cos2 ) } . Ivory , Phil . Trans . 1809 . CHAPTER IV . ELIMINATION OF CONSTANTS AND FUNCTIONS BY MEANS 42 CHANGE OF THE INDEPENDENT VARIABLE .
... ' + ( da ) ' } ' [ fde do sin 0 { a'b ' ( cos 0 ) 2 + ( c sin 0 ) ( a2 sin2 + b2 cos2 ) } . Ivory , Phil . Trans . 1809 . CHAPTER IV . ELIMINATION OF CONSTANTS AND FUNCTIONS BY MEANS 42 CHANGE OF THE INDEPENDENT VARIABLE .
Зміст
1 | |
12 | |
28 | |
43 | |
62 | |
77 | |
79 | |
84 | |
224 | |
237 | |
249 | |
271 | |
282 | |
291 | |
340 | |
351 | |
94 | |
129 | |
144 | |
162 | |
175 | |
188 | |
200 | |
386 | |
400 | |
412 | |
440 | |
464 | |
506 | |
Інші видання - Показати все
Загальні терміни та фрази
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