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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... "
The Theory and Practice of Surveying: Containing All the Instructions ...
των Robert Gibson - 1821 - 544 σελίδες
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Lunar and Nautical Tables, Arranged and Adapted for Determining (by the ...

George Coleman (F.R.A.S.) - 1846
...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,...

Instructions for the use of the slide-rule, applied to computations relating ...

John EWART (Land Surveyor.) - 1847 - 83 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...

A Treatise on Arithmetic ...

Noble Heath - 1855 - 455 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,...

A compendious course of mathematics, theoretical and practical

John Radford Young - 1855
...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 °...

A Treatise on Arithmetic: Through which the Entire Science Can be Most ...

Noble Heath - 1856 - 455 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,...

Algebra

C R. Lupton - 1879
...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....

An Elementary Treatise on the Differential Calculus: Founded on the Method ...

William Woolsey Johnson - 1904 - 404 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...

Machinery

1897
...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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