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" Though there is some analogy between arithmetical and algebraical division, with respect to the manner in which the operations are disposed and performed, yet there is this essential difference between them, that in arithmetical division the figures of... "
Elements of Algebra - Page 26
by Bourdon (M., Louis Pierre Marie) - 1831 - 304 pages
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...in which the calculations are disposed and performed ; there is however this essential difference, that in arithmetical division the figures of the quotient are obtained by trial ; whereas, in algebraic division, we obtain with certainty a term of the quotient sought, by dividing...
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Elements of Algebra: Tr. from the French of M. Bourdon, for the ..., Volume 1

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 pages
...which, multiplied by the divisor, will produce the dividend. And in general we v J i 1 find that a division is impossible, when the first term of one...figures of the quotient are obtained by trial, while in algebraical division the quotient obtained by dividing the first term of the partial dividend by the...
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...the first term of one of the partial dividends is not divisible by the first term of the divisor. 56. Though there is some analogy between arithmetical...figures of the quotient are obtained by trial, while in algebraical division the quotient obtained by dividing the first term of the partial dividend by the...
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Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...the first term of one of the partial dividends is not divisible by the first term of the divisor. 56. Though there is some analogy between arithmetical...figures of the quotient are obtained by trial, while in algebraical division the quotient obtained by dividing the first term of the partial dividend by the...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...3a3x — 6a2a;2 — 2a. 2. Divide 25a*b — 30a26 + 40a6 by 56. Ans. 5a4 — 6a2 + 8a. 60. Although there is some analogy between arithmetical and algebraical...figures of the quotient are obtained by trial, while in algebraical division the quotient obtained by dividing the first term of the partial dividend by the...
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Elements of Algebra: Including Sturms' Theorem

Algebra - 1848 - 394 pages
...— 6a2ж^ — 2a. 2. Divide 25a4¿ — 30a«¿ + 40a¿ by 5¿. Ans. 5a4 — 6a2 + 8a. 60. Although there is some analogy between arithmetical and algebraical...there is this essential difference between them, that m arithmetical division the figures of the quotient are obtained by trial, while in algebraical division...
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Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - Algebra - 1855 - 370 pages
...in which the calculations are disposed and performed ; there is, however, this essential difference, that in arithmetical division the figures of the quotient are obtained by trial; whereas, in algebraic division, we obtain with certainty a term of the quotient sought, by dividing...
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A Treatise on Algebra: For the Use of Schools and Colleges

William Smyth - Algebra - 1858 - 344 pages
...in which the calculations are disposed and performed; there is, however, this essential difference, that in arithmetical division the figures of the quotient are obtained by trial; whereas, in algebraic division, we obtain with certainty a term of the quotient sought, by dividing...
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