 | Warren Colburn - 1825 - 400 σελίδες
...a -|- 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... | |
 | 1825 - 630 σελίδες
...a -\- 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... | |
 | Warren Colburn - 1828 - 330 σελίδες
...a*x' +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... | |
 | Alexander Ingram - 1830 - 458 σελίδες
...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...that term, and dividing the product by the number of that term. 5. That when the signs of both quantities are alike, all the terms have the sign +; but... | |
 | Bourdon (M., Louis Pierre Marie) - 1831 - 446 σελίδες
...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,... | |
 | Bourdon (M., Louis Pierre Marie) - 1831 - 326 σελίδες
...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,... | |
 | Charles Davies - 1835 - 378 σελίδες
...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 - 286 σελίδες
...+ 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... | |
 | 1836 - 530 σελίδες
...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 - 500 σελίδες
...— n — 1 ), and dividing it by и ; therefore, generally. (484.) ' The coefficient of any term is found by multiplying the coefficient of the preceding...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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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. 
