Supplement to the Fourth, Fifth, and Sixth Editions1824 |
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Seite 16
... quantities , to find the equation expressing the relation of the differentials , or infinitely small variations of those quantities ; the second is the converse of this ; -having given an equation in- volving two or more variable quantities ...
... quantities , to find the equation expressing the relation of the differentials , or infinitely small variations of those quantities ; the second is the converse of this ; -having given an equation in- volving two or more variable quantities ...
Seite 18
... quantities which is to be the greatest or the least is not given , but is itself the thing to be found ; as when it is ... quantity is the circumference or perimeter of a certain curve , so problems of this kind have had the name of ...
... quantities which is to be the greatest or the least is not given , but is itself the thing to be found ; as when it is ... quantity is the circumference or perimeter of a certain curve , so problems of this kind have had the name of ...
Seite 19
... quantities are combined with one another . If the function , into which the differential stands multiplied , consist of a single term , or an aggregate of terms , in each of which the variable quantity is raised to a power expounded by ...
... quantities are combined with one another . If the function , into which the differential stands multiplied , consist of a single term , or an aggregate of terms , in each of which the variable quantity is raised to a power expounded by ...
Seite 21
... quantity , without which no fluent can be con- sidered as complete . For these reasons , such approximations should ... quantity to constitute a new series of variable quantities flowing with velocities , the measures of which form the 1 ...
... quantity , without which no fluent can be con- sidered as complete . For these reasons , such approximations should ... quantity to constitute a new series of variable quantities flowing with velocities , the measures of which form the 1 ...
Seite 25
... quantity . According to this method , quantities are supposed to change , not by infinitely small , but by finite increments , or such as may be of any magnitude whatever . There are here , therefore , as in the case of fluxions or ...
... quantity . According to this method , quantities are supposed to change , not by infinitely small , but by finite increments , or such as may be of any magnitude whatever . There are here , therefore , as in the case of fluxions or ...
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