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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. "
An Elementary Treatise on Algebra, Theoretical and Practical ... - Σελίδα 57
των James Ryan, Robert Adrain - 1824 - 516 σελίδες
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 332 σελίδες
...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 first term of the divisor ;* Multiply the whole divisor, by the term placed in the quotient ; subtract the produce from a part...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1828 - 276 σελίδες
...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...

A concise system of mathematics

Alexander Ingram - 1830 - 120 σελίδες
...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...

Elements of Algebra

William Smyth - 1830 - 264 σελίδες
...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...

Elements of Algebra

Bourdon (M., Louis Pierre Marie) - 1831 - 304 σελίδες
...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,...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1834 - 276 σελίδες
...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...

First Lessons in Algebra: Being an Easy Introduction to that Science ...

Ebenezer Bailey - 1835 - 252 σελίδες
...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...

A New Introduction to the Science of Algebra...

Silas Totten - 1836 - 304 σελίδες
...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...

An introduction to algebra. To which is added an appendix containing a ...

John Bonnycastle - 1836 - 80 σελίδες
...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....

A New Introduction to the Science of Algebra...

Silas Totten - 1836 - 304 σελίδες
...with reference to the powers of a. The first term of the quotient will therefore be found by dividing the first term of the dividend by the first term of the divisor. 11 ALGEBRA. 2. As the dividend is the sum of all the partial products formed by multiplying the divisor...




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