| 1830 - 276 ÆäÀÌÁö
...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... | |
| 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... | |
| Warren Colburn - 1831 - 276 ÆäÀÌÁö
...the last term is 1, though it may be found by the rule IX 7 — =• ' Hence the 7th power of a + ¬Ø **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... | |
| Bourdon (M., Louis Pierre Marie) - 1831 - 304 ÆäÀÌÁö
...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,... | |
| Bourdon (M., Louis Pierre Marie) - 1831 - 389 ÆäÀÌÁö
...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,... | |
| Warren Colburn - 1834 - 276 ÆäÀÌÁö
...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... | |
| Charles Davies - 1835 - 353 ÆäÀÌÁö
...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)... | |
| Warren Colburn - 1836 - 276 ÆäÀÌÁö
...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... | |
| 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... | |
| Andrew Bell (writer on mathematics.) - 1839
...— n — 1 ), and dividing it by ¬Ú ; 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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