 | Isaac Newton - Calculus - 1745 - 524 pages
...follows that the Sum of the Logarithms of two Numbers is equal to the Logarithm of their Product, and the Difference of the Logarithms of two Numbers is the Logarithm of their Quotient, Gfc. For what is ordinarily called the Logarithm of any Number, is, properly fpeaking,... | |
 | John Wright (Mathematician) - Perspective - 1772 - 298 pages
...operations are fhortened, I refer to the authors who have wrote on that fubject on purpofe. 24. Becaufe the difference of the logarithms of two numbers is the logarithm of their quotient, the logarithm of a fraction is the difference of the logarithms of the numerator and... | |
 | Royal Society (Great Britain) - Meteorology - 1809 - 792 pages
...= r*. 3. The properties of logarithms are the same with the indices of powers; that is, the sum or difference of the logarithms of two numbers, is the logarithm of the product or quotient of those numbers. And therefore, n times the logarithm of any number, is the logarithm... | |
 | Charles Hutton - Mathematics - 1811 - 574 pages
...that the sum of the logarithms of two or more factors, is the logarithm of their product ; and that the difference of the logarithms of two numbers, is the logarithm of their quotient. In the third section, he states the other assumption which is necessary to limit bis... | |
 | Charles Hutton - Bridges - 1812 - 514 pages
...that the sum of the logarithms of two or more factors, is the logarithm of their product; and that the difference of the logarithms of two numbers, is the logarithm of their qnotient. In the third section he states the other assumption, which is necessary to limit his... | |
 | Jeremiah Day - Measurement - 1815 - 388 pages
...13. The sum of the logarithms of two numbers, is the logarithm of the product of those numbers; and the difference of the logarithms of two numbers, is the logarithm of the quotient of one of the numbers divided by the other. (Art. 1.) In Biiggs' system, the logarithm of 10 is 1. (Art.... | |
 | Jeremiah Day - Logarithms - 1815 - 172 pages
...13. The sum of the logarithms of two numbers, is the logarithm of the product of those numbers; and the difference of the logarithms of two numbers, is the logarithm of the quotient of one of the numbers divided by the other. (Art. 1.) In Briggs' system, the logarithm of 10 is 1. (Art.... | |
 | Jeremiah Day - Geometry - 1824 - 440 pages
...of the fraction is equal to the quotient, of the numerator divided by the denominator. (Alg. 135.) But in logarithms, division is performed by subtraction ; that is, the difference of the logarithms of iwo numbers, is the logarithm of the quotient of those numbers. (Art. I.) To find then the logarithm... | |
 | Jeremiah Day - Measurement - 1831 - 520 pages
...13. The sum of the logarithms of two numbers, is the logarithm of the product of those numbers ; and the difference of the logarithms of two numbers, is the logarithm of the quotient of one of the numbers divided by the other. (Art. 2.) In Briggs' system, the logarithm of 10 is 1. (Art.... | |
 | Mathematics - 1836 - 488 pages
...The sum of the log. arithms of two numbers, is the logarithm of the product of those numbers ; and the difference of the logarithms of two numbers, is the logarithm of the quotient of one of the numbers divided by the other. The decimal part of the logarithm of any number is the same... | |
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The sum of the logarithms of two numbers, is the logarithm of the product of those numbers ; and the difference of the logarithms of two numbers, is the logarithm of the quotient of one of the numbers divided by the other. (Art. 2.) In Briggs' system,... 
