 | Algebra - 1746 - 198 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 - 582 pages
...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 - 574 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... | |
 | Mathematics - 1801 - 446 pages
...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 - 470 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 - 456 pages
...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 - 304 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 - 326 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 - 352 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, Robert Adrain - Algebra - 1824 - 542 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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... and the product be divided :by the number of terms to that place, it will give the coefficient of the term next following. 
