 | George Coleman (F.R.A.S.) - 1846 - 488 σελίδες
...exponents of a series of numbers in geometrical progression. Or, logarithms may be conceived to be a series of numbers so contrived, that the sum of...of these numbers. Hence it is inferred, that if a feries of numbers in arithmetical progression be adapted to a series of numbers in geometrical progression,... | |
 | John EWART (Land Surveyor.) - 1847 - 108 σελίδες
...divisions are the logarithms of the numbers that their divisions represent. It has also been shown, that the sum of the logarithms of any two numbers is the logarithm of their product ; and that, by drawing the slide to the right-hand, until the commencement of the line... | |
 | Noble Heath - 1855 - 468 σελίδες
...natural numbers, and those of x the corresponding logarithms. Now from the equation yy1 = q*+* we see that the sum of the logarithms of any two numbers is the logarithm of their product, and hence the multiplication of any two numbers may, by an inspection of the table,... | |
 | John Radford Young - 1855 - 218 σελίδες
...power of that number ; that is, m being a positive whole number, m log « = Theorem 2. The difference of the logarithms of any two numbers is the logarithm of the quotient of those numbers. Let ax=n, and ax'=n'; then ax-^-ax'=ax~x'=— , .'. x— o?=loif — n °... | |
 | Noble Heath - 1856 - 472 σελίδες
...natural numbers, and those of x the corresponding logarithms. Now from the equation yy1 = q* + *' we see that the sum of the logarithms of any two numbers is the logarithm of their product, and hence the multiplication of any two numbers may, by an inspection of the table,... | |
 | C R. Lupton - 1879 - 194 σελίδες
...by Addition. Division „ Subtraction. Involution „ Multiplication. Evolution „ Division. 206. The sum of the logarithms of any two numbers is the logarithm of their product, and the difference of the logarithms of two numbers is the logarithm of their quotient.... | |
 | William Woolsey Johnson - 1904 - 448 σελίδες
...characteristic property of the logarithmic function ; namely, that which expressed in words is the rule that "the sum of the logarithms of any two numbers is the logarithm of their product." 16. The solution of a functional equation consists in finding the most definite expression... | |
 | 1897 - 484 σελίδες
...of the logarithm of any numbers is equal to the logarithm of their product and that the difference of the logarithms of any two numbers is the logarithm of the quotient of those numbers. The instrument has two circular discs and a radial runner, all capable of... | |
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His method is founded on these three considerations: 1st, that the sum of the logarithms of any two numbers is the logarithm of the product of... 
