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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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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 542 pages
...polynomials. 1. Arrange the dividend and divisor according to the powers of the same letter ia both. 2. Divide the first term of the dividend by the first term of the divisor, and the result will be the first term in the quotient, by which multiply all the terms in the divisor,...
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An Elementary Course of Mathematics: Designed Principally for Students of ...

Harvey Goodwin - Mathematics - 1846 - 500 pages
...according to either ascending or descending powers of some letter common to the two; the division of the first term of the dividend by the first term of the divisor gives the first term of the quotient ; multiply the divisor by this term, and subtract the product...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 376 pages
...1. Jlrrange the dividend and divisor according to the powers of the same letter, 2. Divide thefirst term of the dividend by the first term of the divisor, the result will be thefirst term of the quotient. 3. Multiply the divisor by this term, and subtract the product...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 pages
...the power or index of a, we place them thus, a6d — a4c + a3b + a2 ; and then proceed by dividing the first term of the dividend by the first term of the divisor, placing the result in the quotient. We next multiply the whole divisor by the quotient thus found,...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...product from the dividend ; the remainder will form a new dividend. 4. Divide the first term of this new dividend by the first term of the divisor ; the result is the second term of the quotient. Multiply the divisor by this term, and subtract as before. 5. Proceed...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1847 - 358 pages
...terms, as shall be necessary to continue the operation : To obtain the first term of the quotient, divide the first term of the dividend, by the first term of the divisor ;* Divide again by the first term of the divisor, and proceed as before, tUl all the terms of the dividend...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 250 pages
...they are found. From the preceding, we derive the BULB, FOR THE DIVISION OF ONE POLYNOMIAL BY ANOTHER. 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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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 252 pages
...From the preceding, we derive the BULK, FOR THE DIVISION OF ONE POLYNOMIAL BY ANOTHER. Divide tlie 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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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...compound quantities, arrange the terms according to Art. 106. To obtain the first term in the quotient, divide the first term of the dividend by the first term of the divisor. Multiply the whole divisor by the term placed in the quotient ; subtract the • product from the dividend...
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The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848 - 334 pages
...terms of each of them so that the higher powers of one of the letters may stand before the lower. 2. 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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