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" To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference. "
The shipwright's vade-mecum [by D. Steel]. - Page 21
by David Steel - 1805
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Elements of Trigonometry: Plane and Spherical

Andrew Wheeler Phillips, Wendell Melville Strong - Trigonometry - 1898 - 362 pages
...»гя = 10**.* " " log mn = x+y. Hence log mn = logm -\-\ogn. 3. To divide one number by another, subtract the logarithm of the divisor from the logarithm of the dividend. The result is the logarithm of the quotient. Proof.— — = . - = 10*-' ; ' я \o* Hence log— = x—...
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A Treatise on Refrigerating and Ice-making Machinery ...

1899 - 120 pages
...number sought. Art. 647. DIVISION BY LOGARITHMS. Rule. — To divide one number by another by means of logarithms, subtract the logarithm of the divisor from the logarithm of the dividend ; the result will be the logarithm of the quotient. Art. 652. INVOLUTION BY LOGARITHMS. Rule. — To raise...
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Elementary Practical Mathematics

Frank Castle - Mathematics - 1899 - 424 pages
...40-83, and -00253. Division by logarithms. — The logarithm of the quotient is obtained by subtracting the logarithm of the divisor from the logarithm of the dividend; the number corresponding to this logarithm found on reference to the table of antilogarithms is the number...
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Arithmetic, algebra, logarithms, geometry and trigonometry, elementary ...

International Correspondence Schools - Civil engineering - 1899 - 722 pages
...logarithm of their quotient. Hence, 652. To divide one number by another by means of logarithms : Rule. — Subtract the logarithm of the divisor from the logarithm of the dividend, and the result will be the logarithm of the quotient. EXAMPLE.— Divide 6,784.2 by 27.42. SOLUTION.—...
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Workshop Mathematics, Part 2

Frank Castle - Mathematics - 1900 - 200 pages
...125000, 6=-00005. Division by Logarithms. — The logarithm of a quotient ù obtained by subtracting the logarithm of the divisor from the logarithm of the dividend; the number corresponding to this logarithm, found on reference to the table of anfiloc/arithm-s, is the...
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Academic Algebra

William James Milne - Algebra - 1901 - 476 pages
...equivalent to adding 'it with its sign changed, it follows that : 470. PRINCIPLE. — Instead of subtracting the logarithm of the divisor from the logarithm of the dividend, the cologarithm of the divisor may be added to the logarithm, of the dividend; that is, To any base, log...
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The Mechanics' Handbook: A Convenient Reference Book for All Persons ...

International Correspondence Schools - Engineering - 1904 - 392 pages
...logarithm of their quotient. Hence, to divide one number by another by means of logarithms : Rule.— Subtract the logarithm of the divisor from the logarithm of the dividend, and the result will be the logarithm of the quotient. EXAMPLE.— Divide 6,784.2 by 27.42. SOLUTION.—...
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Essentials of Algebra: Complete Course (an Adequate Preparation for the ...

John Charles Stone, James Franklin Millis - Algebra - 1905 - 776 pages
....9106)— 10, = 12.0894-10, =2.0894. It has been shown that to obtain the logarithm of a quotient, we subtract the logarithm of the divisor from the logarithm of the dividend. Since colog x— — log x, instead of subtracting the logarithm of the divisor гее may add its...
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Arithmetic: Elements of Algebra. Logarithms. Geometrical Drawing

International Correspondence Schools - Arithmetic - 1906 - 576 pages
...logarithm oí their quotient. Hence, 85. To divide one number by another by means of logarithms: Rule. — Subtract the logarithm of the divisor from the logarithm of the dividend and the result will be the logarithm oí the quotient. EXAMPLE.— Divide 6,784.2 by 27.42. SOLUTION.—...
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A Manual of Practical Mathematics

Frank Castle - Mathematics - 1908 - 616 pages
...part of the product is 1254, and the characteristic is 2. Hence 0-03056x0-4105=0-01254. Division. — Subtract the logarithm of the divisor from the logarithm of the dividend and the result is the logarithm of the quotient of the two numbers. The number corresponding to this...
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