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" ... 1.84148. 31. To find the. logarithm of a VULGAR FRACTION. From the nature of a vulgar fraction, the numerator may be considered as a dividend, and the denominator as a divisor; in other words, the value of the fraction is equal to the quotient, of... "
A Treatise of Plane Trigonometry, and the Mensuration of Heights and ... - Página 18
por Jeremiah Day - 1848 - 153 páginas
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Sir Isaac Newton's Two Treatises: Of the Quadrature of Curves, and Analysis ...

Isaac Newton - 1745 - 479 páginas
...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,...
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Elements of Trigonometry, Plane and Spherical: With The Principles of ...

John Wright (Mathematician) - 1772 - 251 páginas
...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...
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The Philosophical Transactions of the Royal Society of London

Royal Society (Great Britain), Charles Hutton, Richard Pearson - 1809
...= 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...
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Mathematical Tables;: Containing the Common, Hyperbolic, and Logistic ...

Charles Hutton - 1811 - 133 páginas
...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...
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Tracts on Mathematical and Philosophical Subjects: Comprising Among Numerous ...

Charles Hutton - 1812 - 485 páginas
...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...
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - 1815 - 96 páginas
...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....
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A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ...

Jeremiah Day - 1815 - 126 páginas
...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....
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The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - 1824
...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...
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A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the ...

Jeremiah Day - 1831 - 155 páginas
...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...fraction, subtract the logarithm of the denominator from that of the numerator: The difference will be the logarithm of the fraction. Or the logarithm may be...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

Jeremiah Day - 1831 - 370 páginas
...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...fraction, subtract the logarithm of the denominator from that of the numerator. The difference will be the logarithm of the fraction. Or the logarithm may be...
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