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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. "
A Treatise on Algebra - Pàgina 43
per Elias Loomis - 1846 - 346 pàgines
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - 1848 - 250 pàgines
...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...the result will be the first term of the quotient. Multiply the divisor by this term, and subtract the product from the dividend. Divide the first term...
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The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848 - 334 pàgines
...the 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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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - 1848 - 264 pàgines
...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 theory and practice of ship building. [With] Plates

Thomas White (jun, of Portsmouth.) - 1848 - 112 pàgines
...the powers of some one letter common to both, and divide the first term of the dividend by the first of the divisor ; the result will be the first term of the quotient, by which multiply all the terms in the divisor, and subtract the product from the dividend ; then to...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - 1848 - 252 pàgines
...divisor by this term, and subtract the product from the dividend. Divide the first term of the remainder by the first term of the divisor, the result will be the second term of the quotient. Multiply the divisor by this term, and subtract the product from the last...
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - 1849 - 348 pàgines
...and 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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A Theoretical and Practical Treatise on Algebra: In which the Excellencies ...

Horatio Nelson Robinson - 1850 - 358 pàgines
...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 pàgines
...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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An Elementary Treatise on Algebra: Designed as First Lessons in that Science

Horatio Nelson Robinson - 1850 - 256 pàgines
...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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An Introduction to Algebra, and to the Solution of Numerical Equations

John Radford Young - 1851 - 266 pàgines
...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 found ; subtract the product...
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