| Warren Colburn - Algebra - 1825 - 372 pages
...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... | |
| Science - 1825
...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... | |
| Warren Colburn - Algebra - 1828 - 276 pages
...+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... | |
| William Smyth - Algebra - 1830 - 264 pages
...therefore the following rule, by which to form the coefficient of any term whatever, viz. Multiply **the coefficient of the preceding term by the exponent of x in** this term, and divide the product by the number, which marks the place of this term. From what has... | |
| 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... | |
| Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 304 pages
...whatever 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,... | |
| Mathematics - 1836
...shies, so that the coefficient of x*-' a' is the same as that of xr aC-'. See art [264]. Fourthly, that **the coefficient of any term is formed by multiplying...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 much practical utility, as it... | |
| William Smyth - Algebra - 1836 - 280 pages
...therefore the following rule, by which to form the coefficient of any term whatever, viz. Multiply **the coefficient of the preceding term by the exponent of x in that term, and** divide the product by the number, which marks the place of that term from the left. From what has been... | |
| Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 358 pages
...development, a simple law will be perceived, by means of which the co-efficient of any term is formed **from the co-efficient of the preceding term. The co-efficient of any term is formed by multiplying the** co-rfficient of the preceding term ly the exponent of x in that term, and dividing the product by the... | |
| Andrew Bell (writer on mathematics.) - 1839
...— 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.... | |
| |