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" The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend. "
Academic Algebra - Σελίδα 398
των William James Milne - 1901 - 444 σελίδες
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Easy Introduction to Mathematics, Τόμος 1

Charles Butler - 1814 - 540 σελίδες
...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...

Elements of Algebra

Bourdon (M., Louis Pierre Marie) - 1831 - 326 σελίδες
...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...

Elements of Algebra: Tr. from the French of M. Bourdon, for the Use ..., Τόμος 1

Bourdon (M., Louis Pierre Marie) - 1831 - 446 σελίδες
...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...

Evolution: or The power, and operation of numbers, in the statement, the ...

Thomas Smith (of Liverpool.) - 1835 - 172 σελίδες
...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,...

Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - 1835 - 378 σελίδες
...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,...

Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - 524 σελίδες
...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,...

Elements of Algebra

Charles Davies - 1842 - 368 σελίδες
...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,...

Plane trigonometry. [With] Solutions of examples

John William Colenso (bp. of Natal.) - 1851 - 148 σελίδες
...73 79 83 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...

Elements of Trigonometry, Plane and Spherical

Lefébure de Fourcy (M., Louis Etienne) - 1868 - 350 σελίδες
...by member, we have a1~* = y-: : hence a; — a;' = log (^Л or, log у — log y' = log ^ j That is, the logarithm of a quotient is obtained by subtracting...logarithm of the divisor from that of the dividend. 11. If all the numbers y, >/, y", &c. be equal in equation (2), and there be m of them, this equation...

The Elements of Algebra and Trigonometry

William Nathaniel Griffin - 1871 - 330 σελίδες
...dividend, is to be divided by any other, the divisor, the logarithm of the result or quotient is found by subtracting the logarithm of the divisor from that of the dividend, and then the quotient itself can be found from its logarithm. The only difficulty which division will...




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