 | Thomas Simpson - 1750 - 604 lapas
...Now, fiom the foregoing Pfoprfitions rnd their fubf.q ent Corollaries, the following practical Rubs, for determining the Fluxions of algebraic Quantities,...variable Quantity. Multiply the Fluxion of the Root ly the Exponent of the Power, and the ProduEl by that Power of the fame Root ivktft Exponent is lefs... | |
 | Thomas Simpson - 1750 - 304 lapas
...foregoing Piopcfitions, ?nl their ent Corollaries, the following practical Rules, for L of FLUXIONS. for determining the Fluxions of algebraic Quantities, are obtained. RULE I. To finJ the Fluxion of any given Power of a variable Quantity. Multiply the Fluxion of the Root ly the... | |
 | 1763 - 1246 lapas
...compound quantity x+y, is x+jj alfo the fluxion of x—y, is x—y, a. To find the fluxion or any givem power of a variable quantity, multiply the fluxion of the root by the exponent of the power, and the product by that power of the (ame root, whofe exponent is left by unity... | |
 | Thomas Simpson - 1792 - 292 lapas
...which was to he proved. 17. Now, from what has been thus far delivered, the following practical rules, for determining the fluxions of algebraic quantities,...RULE I. To find the Fluxion of any given Power of a flowing Quantity. Multiply the fluxion of the root by the exponent of the given pmuer, and the produft... | |
 | Thomas Simpson - 1805 - 494 lapas
...Now, from the foregoing proportions, and their fubfequent corollaries, the following practical rules, for determining the fluxions of algebraic quantities...quantity. Multiply the fluxion of the root by the exponent of tlie power, and the product by that power of the fame root whofe exponent is lejs by unity... | |
 | William Nicholson - 1809 - 752 lapas
...fluxion of the compound quantity x -f- y, is x -(- y ; also the fluxion of x — y, is x — y. 2. To find the fluxion of any given power of a variable...quantity, multiply the fluxion of the root by the exponent of the power, and the product by that power of the same root, whose exponent is le« by unity... | |
 | William Nicholson - 1809 - 700 lapas
...the fluxion of the compound quantity x + y, is x -\-y ; also the fluxion of x — y, is x — y. J. To find the fluxion of any given power of a variable...quantity, multiply the fluxion of the root by the exponent of the power, and the product by that power of the same root, whose exponent is less by unity... | |
 | 1815 - 512 lapas
...dotted. If the result be expressed in words, we have the following rule for finding the fluxion of any power of a variable quantity. Multiply the fluxion of the root by the exponent of the power, and the product by that power of the same root whose exponent is less by unity... | |
 | 1815 - 1036 lapas
...dotted. If the result be expressed in words, we have the following rule for finding the fluxion of any power of a variable quantity. Multiply the fluxion of the root by the exponent of the power, and the product by that power of the same root whose exponent in less by unity... | |
 | William Nicholson - 1819 - 408 lapas
...Again, the fluxion of the compound quantity x+y, is .c+y . also the fluxion of x— y, is '' — y 2 To find the fluxion of any given power of a variable...quantity, multiply the fluxion of the root by the exponent of the power, and the product by that power of the same root, whose exponent is less by unity... | |
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To find the fluxion of any given power of a variable quantity, multiply the fluxion of the root by the exponent of the power, and the product by that power of the same root, whose exponent is less by unity than the given exponent. This rule is expressed... 