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" Problem. To find the quotient of one number divided by another by means of logarithms. Solution. Subtract the logarithm of the divisor from that of the dividend, and the number, of which the remainder is the logarithm, is, by art. "
An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ... - Page 276
by Benjamin Peirce - 1855 - 288 pages
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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...the given -- . . ai Dividend. (For — — — x^J Which is done by m. tat ' Logarithms, by adding the Logarithm of the Dividend to the Arithmetical Complement of the Logarithm of the Divilbr. 57. Hence, the Operation of the Example щ Art. 55, may ftand thus : FromFrom Log. of...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 300 pages
...which the remainder is the logarithm, is, by art. 11, the required quotient. Or, since, by art. 58, multiplying by the reciprocal of a number is the same...the logarithm of the dividend to the arithmetical compleDivision by Logarithms. ment of the logarithm of this divisor, and the sum diminished by 10 is...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 300 pages
...one number divided by another by means of logarithms. Solution. Subtract the logarithm of the divisor from that of the dividend, and the number, of which the remainder is the logarithm, is, by art. 11, the required quotient. Or, since, by art. 58, multiplying by the reciprocal of a number is the...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 302 pages
...dividing by it, add the logarithm of thdividend to the arithmetical compleDivision by Logarithms. ment of the logarithm of this divisor, and the sum diminished by 10 is the logarithm of the quotient. When the logarithm of the dividend is written 10 more than its true value, 20 must be subtracted from...
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An Algebra Upon the Inductive Method of Instruction

John H. Harney - Algebra - 1840 - 298 pages
...number, is called the reciprocal of the number; j is the reciprocal of 5, | the reciprocal of 6, &c. Multiplying by the reciprocal of a number, is the same as dividing by the number itself. Thus, multiplying 10 by j is the same as dividing 10 by 5, multiplying 12 by i is...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1843 - 308 pages
...one number divided by another by means of logarithms. Solution. Subtract the logarithm of the divisor from that of the dividend, and the number, of which...art. 81, multiplying by the reciprocal of a number is tbe same as dividing by it, add the logarithm of the dividend to the arithmetical complement of the...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...is solved by the aid of 1ogarithms, and is, consequently, omitted in this place. mon divisor ; for, multiplying by the reciprocal of a number is the same as dividing by the number itself. In fact, whenever r< 1, the series will be descending. i } 385. By the third formula,...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...the above formulas may still be applied by taking r= to the reciprocal of the common divisor ; for, multiplying by the reciprocal of a number is the same as dividing by the number itself. In fact, whenever r< 1, the series will be descending. i 385. By the third formula,...
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An Elementary Treatise on Algebra

Benjamin Peirce - Algebra - 1851 - 294 pages
...one number divided by another by means of logarithms. Solution. Subtract the logarithm of the divisor from that of the dividend, and the number, of which...diminished by 10 is the logarithm of the quotient. Division by Logarithms. When the logarithm of the dividend is written 10 more than its true value,...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1858 - 296 pages
...one number divided by another by means of logarithms. Solution. Subtract the logarithm of the divisor from that of the dividend, and the number, of which...diminished by 10 is the logarithm of the quotient. Division by Logarithms. When the logarithm of the dividend is written 10 more than its true value,...
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