Examples of the Processes of the Differential and Integral CalculusJ and J. J. Deighton, 1846 - 529 стор. |
З цієї книги
Результати 1-5 із 34
Сторінка v
... tion which is implied in the old notation ; and if it were at any time necessary to consider integration merely as the inverse of differentiation , I should pre- fer to employ such a symbol as d , which expresses the required idea ...
... tion which is implied in the old notation ; and if it were at any time necessary to consider integration merely as the inverse of differentiation , I should pre- fer to employ such a symbol as d , which expresses the required idea ...
Сторінка 33
... tion is du ď u น + + 0 = 0 . d Ꮎ d 02 Fourier , Traité de la Chaleur , p . 376 . day dx2 ( 11 ) Transform dy + dx into a function where s is the independent variable , having given that ( = 1 + dx the result is d2y dx ds2 ds -- ( dy ) ...
... tion is du ď u น + + 0 = 0 . d Ꮎ d 02 Fourier , Traité de la Chaleur , p . 376 . day dx2 ( 11 ) Transform dy + dx into a function where s is the independent variable , having given that ( = 1 + dx the result is d2y dx ds2 ds -- ( dy ) ...
Сторінка 121
... ( a2 l2 + b2 m2 + c ° n2 ) § ( 17 ) To find the volume of the ellipsoid whose equa- tion is a x2 + a'y2 + a ′′ x2 + 2 by z + 2b′x z + 2b ′′ xy = c . As in the preceding examples we have first to find MAXIMA AND MINIMA . 121.
... ( a2 l2 + b2 m2 + c ° n2 ) § ( 17 ) To find the volume of the ellipsoid whose equa- tion is a x2 + a'y2 + a ′′ x2 + 2 by z + 2b′x z + 2b ′′ xy = c . As in the preceding examples we have first to find MAXIMA AND MINIMA . 121.
Сторінка 130
... tion of the cube , but it is more readily applicable to an- other problem not less celebrated among the ancients ,, that of the trisection of an angle . angle . The curve is generated in the following manner : take the indefinite ...
... tion of the cube , but it is more readily applicable to an- other problem not less celebrated among the ancients ,, that of the trisection of an angle . angle . The curve is generated in the following manner : take the indefinite ...
Сторінка 132
... the curve . ( 5 ) The Logarithmic Curve . The definition of this curve is that the abscissa is pro- * From lemniscus , a ribbon . + Opera , p . 609 . portional to the logarithm of the ordinate . tion is 132 GENERATION OF CURVES .
... the curve . ( 5 ) The Logarithmic Curve . The definition of this curve is that the abscissa is pro- * From lemniscus , a ribbon . + Opera , p . 609 . portional to the logarithm of the ordinate . tion is 132 GENERATION OF CURVES .
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