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Fra bogen
Resultater 1-5 af 80
Side 12
... connected by the equation x3 - ax2 + axy — y3 = 0 ; then , substituting + o for x , and y yo for y , subtracting the original equation , and dividing by o , we get + 3x2 - 2axi + ayx + axy - 3y2y + 3xx20 + etc. Hence , regarding o as an ...
... connected by the equation x3 - ax2 + axy — y3 = 0 ; then , substituting + o for x , and y yo for y , subtracting the original equation , and dividing by o , we get + 3x2 - 2axi + ayx + axy - 3y2y + 3xx20 + etc. Hence , regarding o as an ...
Side 14
... connected with it by an equation of a more complicated character . For instance , suppose them connected by the relations x log y = y log x , sin y = x sin ( a + y ) , y3 + x3 + 3axy = 0 ; in these cases the value or values of y may be ...
... connected with it by an equation of a more complicated character . For instance , suppose them connected by the relations x log y = y log x , sin y = x sin ( a + y ) , y3 + x3 + 3axy = 0 ; in these cases the value or values of y may be ...
Side 20
... connected by the equation db da + tan a dB tan B dA + tan A tan b This follows immediately from the equation sin a sin B = sin A sin b . 36. These and the analogous formula , when we adopt small differences instead of differentials ...
... connected by the equation db da + tan a dB tan B dA + tan A tan b This follows immediately from the equation sin a sin B = sin A sin b . 36. These and the analogous formula , when we adopt small differences instead of differentials ...
Side 23
... connected with x and y by the equation z = x + yo ( z ) , then the expansion , in ascending powers of y , of any func- tion F ( 2 ) may be thus written : -- y2 F ( z ) = F ( x ) + ( x ) F ' ( x ) + d { [ s ( x ) FF ( x ) } y 1 yn · + n ...
... connected with x and y by the equation z = x + yo ( z ) , then the expansion , in ascending powers of y , of any func- tion F ( 2 ) may be thus written : -- y2 F ( z ) = F ( x ) + ( x ) F ' ( x ) + d { [ s ( x ) FF ( x ) } y 1 yn · + n ...
Side 26
... connected by an equation of condi- tion . Thus , to find the maximum or minimum values of 4 ( x , y ) , where x and y are connected by the relation f ( x , y ) = 0 . Here we have do do dy + df df dy 0 , + dx dy dx 0 . dx dy dx ...
... connected by an equation of condi- tion . Thus , to find the maximum or minimum values of 4 ( x , y ) , where x and y are connected by the relation f ( x , y ) = 0 . Here we have do do dy + df df dy 0 , + dx dy dx 0 . dx dy dx ...
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