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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. "
The popular educator - Page 221
by Popular educator - 1860
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1826 - 290 pages
...division of compound numbers. Arrange the dividend and divisor according to the powers of some letter. Divide the first term of the dividend by the first term of the divisor, and write the result in the quotient. Multiply att the terms of the divisor by the term of the quotient...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...which is substantially the same, as the rule for division in arithmetic : To obtain the first term of the quotient, divide the first term of the dividend,...by the term placed in the quotient ; subtract the produce from a part of the dividend ; and to the remainder bring down as many of the following terms,...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 330 pages
...division of compound numbers. .Arrange the dividend and divisor according to the powers of some letter. Divide the first term of the dividend by the first term of the divisor, and write the result in the quotient. Multiply all the terms oftlie divisor by the term of the quotient...
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...viz. Having arranged the divisor and dividend with reference to the powers of the same letter, 1°. Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient ; 2°. multiply the whole divisor by the term of...
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A Concise System of Mathematics ...

Alexander Ingram - Mathematics - 1830 - 458 pages
...compound, arrange the terms of the dividend and divisor according to the powers of the same letter. Divide the first term of the dividend by the first term of the divisor to obtain the first term of the quotient, then multiply the whole divisor by this term, and subtract...
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 326 pages
...of the quotient are obtained by trial, while in algebraic division the quotient obtained by dividing the first term of the dividend by the first term of the divisor, is always one of the terms of the quotient sought. If these two terms are not divisible by one another,...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1832 - 354 pages
...which is substantially the same, as the rule for division in arithmetic -. To obtain the first term of the quotient, divide the first term of the dividend,...by the term placed in the quotient ; subtract the produce from a part of the dividend ; and to the remainder bring down as many of the following terms,...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1834 - 288 pages
...compound numbers. Arrange the dividend and divisor according to the powers of toms letter. Divide t/ie first term of the dividend by the first term of the divisor, and write the result in the quotient. Multiply all the terms of the divisor by the tern of the quotient...
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First Lessons in Algebra: Being an Easy Introduction to that Science ...

Ebenezer Bailey - Algebra - 1835 - 258 pages
...ii + 3ic + 2cc ( J + 2 c. 1 bb+ be 2 6c + 2cc 2 6c + 2cc . In this example, as in the preceding, we divide the first term of the dividend by the first term of the divisor. The quotient of 6 6 divided by b, is b. We then multiply the whole divisor, b + c, by b, and obtain...
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 332 pages
...another. RULE. (16.) 1st. Arrange the dividend and divisor according to the powers of the same letter. 2. Divide the first term of the dividend by the first term of the divisor, and set the result in the quotient. 3. Multiply the whole divisor by the quotient thus found, , and...
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