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" Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend. "
Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856) - Page 190
edited by - 1854
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1848 - 300 pages
...certain letter, and then divide the first term on the left of the dividend by the first term on the left of the divisor, the result is the first term of the quotient ; multiply the divisor by this term, and subtract the product from the dividend. II. Then divide the...
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - Algebra - 1849 - 348 pages
...divisor according to the powers of some common letter, either ascending; or descending in both. 2. Divide the first term of the dividend by the first term of the divisor (§80), and set the result, with its proper sign, as a term of the quotient. '3. Multiply the divisor...
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An Elementary Treatise on Algebra: Designed as First Lessons in that Science

Horatio Nelson Robinson - Algebra - 1850 - 256 pages
...of the following rule will become obvious by its great similarity to division in numbers. RULE . — Divide the first term of the dividend by the first term of the divisor, mid set the result in the quotient.* Multiply the whole divisor by the quotient thus found, and subtract...
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A Theoretical and Practical Treatise on Algebra: In which the Excellencies ...

Horatio Nelson Robinson - Algebra - 1850 - 358 pages
...truth of the following rule will become obvious by its great similarity to division in numbers. RULE. Divide the first term of the dividend by the first term of the divisor, and set the result in the quotient.* Multiply the whole divisor by the quotient thus found, and subtract...
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An elementary course of practical mathematics, Part 2

James Elliot - 1850 - 116 pages
...both the divisor and the dividend according to the powers of some one letter contained in them : then divide the first term of the dividend by the first term of the divisor, for the first term of the quotient. Multiply the whole divisor by the term thus found. Subtract the...
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The Elements of Algebra: Designed for the Use of Common Schools: Also ...

George Roberts Perkins - Algebra - 1850 - 276 pages
...certain letter; then divide the first term cn the left of the dividend by the first term on the left of the divisor, the result is the first term of the quotient; multiply the divisor by this term, and subtract the product from the dividend. II. Then divide the...
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Bonnycastle's Introduction to Algebra: Containing the Indeterminate and ...

John Bonnycastle - Algebra - 1851 - 288 pages
...terms of each of them so, that the higher power of .one of the letters may stand before the lower. Then divide the first term of the dividend by the first term of the divisor, and set the result in the quotient, with its proper sign, or simply by itself, if it be affirmative....
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Elementary Algebra: For the Use of Schools

William Smyth - Algebra - 1851 - 272 pages
...reference to some common letter, we have the following rule for the division of polynomials : 1°. Divide the first term of the dividend by the first term of the divisor, and set the result, with its proper sign, as the first term of the quotient. 2°. Multiply the divisor...
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An Introduction to Algebra, and to the Solution of Numerical Equations

John Radford Young - 1851 - 266 pages
...dividend and divisor placed as in the corresponding operation of arithmetic, divide the first term only of the dividend by the first term of the divisor: the result will be the first term of the required quotient. 3. Multiply the whole divisor by the first term thus...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...and divisor with reference to a certain letter, and place the divisor on the right of the dividend. Divide the first term of the dividend by the first term of the divisor ; the result will be the first term of the quotient. Multiply the divisor by this term, and subtract the product...
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