| Warren Colburn - Algebra - 1825 - 400 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 - 630 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... | |
| Warren Colburn - Algebra - 1828 - 330 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 - 278 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 - Mathematics - 1830 - 458 pages
...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 - 326 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 - 530 pages
...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 - 288 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... | |
| Charles Frederick Partington - Encyclopedias and dictionaries - 1838 - 1116 pages
...letters in every other term, is successively formed by multiplying the coefficient of those letters in **the preceding term by the exponent of x in that term, and dividing** by the number of terms which precede the one we are considering. The first two observations have been... | |
| Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...— 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.... | |
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