| Algebra - 1746 - 184 pages
...firft is always- 1, the fécond is the Index of the Power required. And, in general, if the Uncía **of any Term be multiplied by the Index of the leading Quantity** (я), and divided by the Number of Terms to that Place, it gives the Uncía of the next following Term.... | |
| William Emerson - Mathematics - 1764
...o, i, 2, 3, 4, &c. Then for finding the uncise or coefficients. The firft is always i ; the fécond, **the index of the power. And in general, if the coefficient...multiplied by the index of the leading quantity, and** divided by the number of terms to that place ; it gives the coefficient of the next following term.... | |
| William Emerson - Algebra - 1780 - 531 pages
...i, 2, 3> 4> fcfc Then for finding the uncias or coefficients. The firft is always i •, the fecond, **the index of the power. And in general, if the coefficient of any term be multiplied by the index of** thp leading quantity, and divided by the number of terms to that place 5 it gives the coefficient of... | |
| Samuel Webber - Mathematics - 1801
...are o, i, 2, 3, 4, &c. 2. 'To fnd the unicf cr coefficients. The first is always" I, and the second **is the index of the power ; and in general, if the...multiplied by the index of the leading quantity, and the** product be divided by the number of terms to that place, it will give the coefficient of the term next... | |
| Nicolas Pike - Algebra - 1808 - 480 pages
...are 0, 1, 2, 3, 4, &c. 2. To Jind the unciae or coefficients. The first is always 1, and the second **is the index of the power : and, in general, if the coefficient of** aqy term be multiplied by the index of the leading quantity, and the produft be divided by the number... | |
| John Bonnycastle - Algebra - 1813
...always 1 ; and that 'the coefficient of the second term is the index of the power : and for the rest, **if the coefficient of: any term be multiplied by the index of the leading quantity** in it, and the product be divided :by the number of terms to that place, it will give the coefficient... | |
| Jeremiah Day - Algebra - 1814 - 303 pages
...of the Jirst term is 1 ; that of the second is e(/naf to the index of the power ; and universally, **if the co-efficient of any term be multiplied by the index of the leading** quantify in that term, and divided by the index of the following quantity increased by 1, it will give... | |
| John Bonnycastle - Algebra - 1818 - 260 pages
...that the coefficient of the second term is the index of the power of the first ; and for the rest, **if the coefficient of any term be multiplied by the index of the leading quantity** in it, and the product be divided by the number of terms to that place, it will give the coefficient... | |
| Jeremiah Day - Algebra - 1820 - 332 pages
...CO-EFFICIENT OF THE FIRST TERM IS 1 ; THAT OF THE SECOND IS EQUAL TO THE INDEX OF THE POWER ; AND UNIVERSALLY, **IF THE CO-EFFICIENT OF ANY TERM BE MULTIPLIED BY THE INDEX OF THE LEADING QUANTITY** IN THAT TERM, AND DIVIDED BY THE INDEX OF THE FOLLOWING QUANTITY INCREASED BY 1, IT WILL GIVE THE CO-EFFICIENT... | |
| James Ryan - Algebra - 1824 - 516 pages
...that the coefficient of the second term is the index of the power of the first ; and, for the rest, **if the coefficient of any term be multiplied by the index of the leading quantity** in it, and the product be divided by the number of terms to that place, it will give the coefficient... | |
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