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도서 In each succeeding term the coefficient is found by multiplying the coefficient of...에 대해 검색한 64개 도서 중 1 - 10
" 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. "
The Boston Journal of Philosophy and the Arts - 490 페이지
1825
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An Introduction to Algebra Upon the Inductive Method of Instruction

1830 - 276 페이지
...rule Hence the 7th power of a -f- x is a' +7a"ir +21 a6 a;* f- 35aV + 35 a' a4 +21 a* a;' + 7acc'+*' Examining the formation of the above coefficients,...observe, that each coefficient was found by multiplying th<3 co< fficient of the preceding term by the exponent of the leading quantity a in that term, and...
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A concise system of mathematics

Alexander Ingram - 1830
...first term is 1, that of the second is the name of the power, and in the following terms it is got by multiplying the coefficient of the preceding term by the exponent of the leading quantity in that term, and dividing the product by the number of that term. 5. That when the signs of both quantities...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1831 - 276 페이지
...the last term is 1, though it may be found by the rule IX 7 — =• ' Hence the 7th power of a + ж is Examining the formation of the above coefficients,...dividing the product by the number which marks the place ofthat term. Thus the coefficient of the third term was found by multiplying 7, the coefficient rf...
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - 1831 - 304 페이지
...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, for the Use of ..., 1권

Bourdon (M., Louis Pierre Marie) - 1831 - 389 페이지
...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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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1834 - 276 페이지
...coefficient is 7. The coefficient of the last term is 1, though it may be found by the rule IX 7_, 7 Hence the 7th power of a + x is Examining the formation...the exponent of the leading quantity a in that term, arid dividing the product by the number which marks the place of that term. Thus the coefficient of...
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Elements of Algebra: Tr. from the French of M. Bourdon

Charles Davies - 1835 - 353 페이지
...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 - 276 페이지
...7_1 7' Hence the 7th power of a -f- x is a' -f-7aea: + 21 aV f-SSaV-p- 35a3a;4 + 21 a' x* + 1ax'+x' Examining the formation of the above coefficients,...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
...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
...— n — 1 ), and dividing it by и ; therefore, generally. (484.) ' The coefficient of any term is found by multiplying the coefficient of the preceding term by the exponent of the leading quantity in that term, and dividing by the number denoting the place of the latter term. It is also evident...
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