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" Multiply the divisor thus increased, by the second term of the root, and subtract the product from the remainder. "
A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ... - Page 76
by Charles William Hackley - 1846 - 503 pages
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A Treatise on the Elements of Algebra: Designed for the Use of Eton School

John Bayley (fellow of Emmanuel College, Cambridge.) - Algebra - 1830 - 428 pages
...square from the given quantity ; to twice this quotient annex the quotient next found, for a divisor ; multiply the whole of this divisor by the second term of the quotient ; subtract this product from the remaining terms of the proposed quantity ; and repeat this...
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - Algebra - 1841 - 314 pages
...second term of the root, also at the right of the divisor. Multiply the divisor, with the term annexed, by the second term of the root, and subtract the product from the dividend. 4. The remainder will form a new dividend, which is to be divided by twice the whole root...
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Elements of Arithmetic and Algebra: For the Use of the Royal Military College

William Scott - Algebra - 1844 - 568 pages
...term of the root. Multiply the algebraic sum of double the first and once the second term of the root by the second term of the root, and subtract the product from the first remainder ; divide the first term of the second remainder by double the first term of the root; the quotient...
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An Elementary Treatise on Algebra: Designed to Facilitate the Comprehension ...

Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...first term of the root, by the second term, plus the square of the second term. Multiply the complete divisor by the second term of the root, and subtract the product from the remainder, and bring down the next remainder. Divide the first term of this remainder by three times...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 250 pages
...found, and annex the result both to the root and the divisor. Multiply the divisor thus increased, by the second term of the root, and subtract the product from the remainder. 3d. Double the terms of the root already found, for a partial divvsor, and divide the first...
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An elementary course of practical mathematics, Part 2

James Elliot - 1850 - 118 pages
...must be annexed with its proper sign, as also to the divisor. 4. Multiply the divisor, thus enlarged, by the second term of the root, and subtract the product from the last dividend. 5. To the remainder bring down two more terms of the given quantity, and use that as...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...already found, and annex the result to both the root and the divisor. Multiply the divisor thus increased by the second term of the root, and subtract the product from the remainder. 3rd. Double the terms of the root already found for a partial divisor] then divide the first...
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A treatise on the elements of algebra, by G. Ainsworth and J. Yeats

G. Ainsworth - 1854 - 216 pages
...quotient, and also annexed to the new divisor as a second term. Multiply the new divisor by the last found term of the root, and subtract the product from the first remainder. To the new remainder bring down the two following terms of the compound quantity for a new dividend,...
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Common School Algebra

Thomas Sherwin - Algebra - 1855 - 262 pages
...second term of the root, also at the right of the divisor. Multiply the divisor, with the term annexed, by the second term of the root, and subtract the product from the dividend. 4. The remainder will form a second dividend, which is to be divided by twice the whole root...
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A Treatise on Elementary and Higher Algebra

Theodore Strong - Algebra - 1859 - 570 pages
...root to the incomplete divisor, and the result will be the complete divisor. Multiply the complete divisor by the second term of the root, and subtract the product from the first remainder, cutid the result will constitute the second remainder. 3. Take twice the root now fmmd for the incomplete...
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