| Charles Butler - Mathematics - 1814 - 536 pages
...the multiplication of numbers is performed by adding together their logarithms ; division of numbers, **by subtracting the logarithm of the divisor from that of the dividend** ; involution of numbers, by multiplying (he logarithm of the root into the logarithm or index of the... | |
| Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 326 pages
...means of the property (203), relating to division, we obtain the logarithm of a fractional number, **by subtracting the logarithm of the divisor from that of the dividend.** 205. By supposing a first table of logarithms already constructed, it is easy to construct as many... | |
| Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 pages
...numbers in the tables ; for, by the property of division (No. 215) we obtain the logarithm of a fraction **by subtracting the logarithm of the divisor from that of the dividend.** 218. If we had a table of logarithms constructed, it would be easy to construct from this as many as... | |
| Thomas Smith (of Liverpool.) - Arithmetic - 1835 - 172 pages
...And thus might any number, within the limits of our Tables, be divided by any smaller number, merely **by subtracting the logarithm of the divisor from that of the dividend,** and then finding the difference. 326. It appears, however, in the latter instance, that we do not find,... | |
| Charles Davies - Algebra - 1835 - 378 pages
...in the tables ; for, by the property of division (Art. 242), we obtain the logarithm of a fraction **by subtracting the logarithm of the divisor from that of the dividend.** 246. Resuming the equation 10*=y, if we make a;=0, 1, 2, 3, 4, 5, ... n— 1, n. we have y=l, 10, 100,1000,... | |
| Robert Mudie - Mathematics - 1836 - 524 pages
...altering their nature. Multiplication is performed by adding the logarithm ot tin, factors; and Division **by subtracting the logarithm of the divisor from that of the dividend.** If a number of successive multiplications and divisions, without any intervening additions or subtractions,... | |
| Charles Davies - Algebra - 1842 - 368 pages
...numbers in the tables; for, by the property of division (Art. 259), we obtain the logarithm of a fraction **by subtracting the logarithm of the divisor from that of the dividend.** 263. Resuming the equation 10*=y, if we make a;=0, 1, 2, 3, 4, 5, ... n— 1, n. we have y=l, 10, 100,1000,... | |
| John William Colenso (bp. of Natal.) - 1851 - 382 pages
...89 97 1.8512583 1.8633229 1.8976271 1.9190781 1.9493900 1.9867717 quotient = the remainder obtained **by subtracting the logarithm of the divisor from that of the dividend. For** — = — = a*'*, and .'. log( — ) = x - y = logm - log«. na* n ' Hence log — = log 1 - logm =... | |
| John William Colenso (bp. of Natal.) - 1851 - 148 pages
...89 97 1.8512583 1.8633229 1.8976271 1.9190781 1.9493900 1.9867717 quotient = the remainder obtained **by subtracting the logarithm of the divisor from that of the dividend.** _, ma z-» ji im\ ii ror — = —Q = a , and .-. logl— ) =x— y=iogm— logn. n a" ' evn' . & to... | |
| William John Macquorn Rankine - Engineering - 1866 - 356 pages
...logarithm of a power is equal to the logarithm of the root multiplied by the index of the power. 31. **The logarithm of a quotient is found by subtracting the logarithm of the divisor from** the logarithm of the dividend. 32. The logarithm of a root is found by dividing the logarithm of one... | |
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