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" In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term. "
A Concise System of Mathematics ... - Página 30
por Alexander Ingram - 1830 - 120 páginas
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1825 - 400 páginas
...x is Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding term by the exponent of the leading quantity a in that term, and dividing the product by the number which marks the place of that term. Thus the...
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Boston Journal of Philosophy and the Arts: Intended to Exhibit a ..., Volumen2

1825 - 630 páginas
...x is Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding term by the exponent of the leading quantity a in that term, and dividing the product by the number which marks the place of that term. Thus the...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1828 - 330 páginas
...+Tax"+x> Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding term by the exponent of the leading quantity a in that term, and dividing the product by the number which marks the place of that term. Thus the...
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Elements of Algebra: Tr. from the French of M. Bourdon, for the ..., Volumen1

Bourdon (M., Louis Pierre Marie) - 1831 - 446 páginas
...any term is formed from the coefficient of the preceding term. The coefficient of any term is formed by multiplying the coefficient of the preceding term by the exponent of x in that term, and dividing the product by the number of terms which precede the required term. For,...
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - 1831 - 326 páginas
...place is formed by means of the preceding coefficient. Ihe coefficient of a term of any place is formed by multiplying the coefficient of the preceding term by the exponent of x in this term, and dividing the product by the number of terms which precede that which is considered,...
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - 1835 - 378 páginas
...term is formed from the co-efficient of the preceding term. The co-efficient of any term is formed by multiplying the co-efficient of the preceding term by the exponent of x in that term, and dividing the product by the number of terms which precede the required term. P(m—n+l)...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1836 - 286 páginas
...1ax'+x' Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding term by the exponent of the hurling quantity a in that term, and dividing the product by the number which marks the place of that...
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Library of Useful Knowledge: On the study and difficulties of mathematics ...

1836 - 530 páginas
...is the same as that of xr aC-'. See art [264]. Fourthly, that the coefficient of any term is formed by multiplying the coefficient of the preceding term by the exponent of x in that term, and dividing by the number of terms preceding the one in question. This rule is of...
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The elements of algebra

Andrew Bell (writer on mathematics.) - 1839 - 500 páginas
...— 1 ), and dividing it by и ; therefore, generally. (484.) ' The coefficient of any term is found by multiplying the coefficient of the preceding term...of the leading quantity in that term, and dividing by the number denoting the place of the latter term. It is also evident that the first term is the...
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Elements of Algebra

Charles Davies - 1842 - 368 páginas
...term is formed from the co-efficient of the preceding term. The co-efficient of any term is formed by multiplying the co-efficient of the preceding term by the exponent of x in that term, and dividing the product by the number of terms which precede the required term. P(m—n+l)...
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