 | 1867 - 878 σελίδες
...or a1. Ans. a*, or S/a. For a^ x a.4 X a', or S/« X V» X V» = aThe rule in the preceding article may be applied to every case in evolution. But when the quantity whoso root is to bo found is composed of several factors, there will frequently be an advantage in... | |
 | Jeremiah Day - 1814 - 304 σελίδες
...quantity into facttors. The latter is effected, by dividing the mdex mto parts. 259. The rule in art. 257, may be applied to every case in evolution. But when...This is done upon the principle, that the root of the preftuct of several factors, is equal to the product of their roots. Thus Va6=v/axv/6. For each member... | |
 | Jeremiah Day - 1820 - 352 σελίδες
...of involving a quantity which consists of several factors, depends on the principle, that the power of the product of several factors is equal to the product of their powers. Thus (ay)* = a3y*. For by art. 210 ; (ay)* =ay Kay. But ayxay= ay ay = aayy z=a*y*. So (bmx)*... | |
 | Jeremiah Day - 1831 - 354 σελίδες
...into factors. The latter is .effected, by dividing the index into parts. \ 259. The rule in Art. 257, may be applied to every case in evolution. But when...composed of several factors, there will frequently be ap advantage in taking the root of each of the factors separately. This is done upon the principle... | |
 | Bourdon (M., Louis Pierre Marie) - 1831 - 446 σελίδες
...rules just demonstrated for the calculus of radicals, principally depend upon the fact that the n** root of the product of several factors is equal to the product of the n'* roots of these factors ; and the demonstration of this principle depends upon this: When the... | |
 | Bourdon (M., Louis Pierre Marie) - 1831 - 326 σελίδες
...just established for the calculation of radicals are founded chiefly upon the principle, that the nth root of the product of several factors is equal to the product of the n"' roots of these factors, and the demonstration of this principle depends upon this, if the powers... | |
 | Jeremiah Day - 1832 - 354 σελίδες
...into factors. The latter is effected, by dividing the index into parts. 259. The rule in Art. 257, may be applied to every case in evolution. But when...done upon the principle that the root of the product tif several factors, is equal to the product of their roots: Thus \/ab = \/a X \/b. For each member... | |
 | Jeremiah Day - 1832 - 360 σελίδες
...of involving a quantity which consists of several factors, depends on the principle, that the power of the product of several factors is equal to the product of theiv powers. Thus (ay)3=a* y\ For by Art. 210 ; (oy)3=«yxoyBut oyxfly=ayoy=aayy=:o*y'So (bmxY=bmxxt»nxxbmx=bbbmmmxxx... | |
 | Jeremiah Day - 1835 - 356 σελίδες
...into factors. The latter is effected, by dividing the index into parts. 259. The rule in Art. 257, may be applied to every case in evolution. But when the quantity whose root is to be found, is ^pmposed of several factors, there will frequently be an advantage in taking the root of each of the... | |
 | Charles Davies - 1835 - 378 σελίδες
...rules just demonstrated for the calculus of radicals, principally depend upon the fact that the nlh root of the product of several factors is equal to the product of the nlh roots of these factors; and the demonstration of this principle depends upon this:When the... | |
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Art. 257, may be applied to every case in evolution. But when the quantity whose root is to be found, is composed of several factors, there will frequently be an advantage in taking the root of each of the factors separately. This is done upon the principle... 
