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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 Introduction to Algebra: Upon the Inductive Method of Instruction - Σελίδα 101
των Warren Colburn - 1837 - 276 σελίδες
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1828 - 330 σελίδες
...alike, that is, both -\- or both — , the sign of the product must be -\- ; but when the signs arc unlike, that is, one -f- and the other — , the sign...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 thus...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1829 - 284 σελίδες
...or both — , the sign of the product must be -f- ; but when the signs are unlike, that is, one -\- and the other — , the sign' of the quotient must...dividend, by the first term of the divisor, and write the result in the quotient. Multiply all the terms of the divisor by the term of the quotient thus...

A Concise System of Mathematics ...

Alexander Ingram - 1830 - 458 σελίδες
...divisor is 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 - 278 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 - 326 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 - 1833 - 300 σελίδες
...-|- or both — , the sign of the product must be -f-; but when the signs are unlike, that is, one + and the other — , the sign of the quotient must...some letter. Divide the first term of the dividend by thc first term of the divisor, and write the result in the quotient. Multiply all the terms of the...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1834 - 288 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 thus...

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

Ebenezer Bailey - 1835 - 258 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 - 332 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 subtract...

A New Introduction to the Science of Algebra...

Silas Totten - 1836 - 360 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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