 | Philip Ronayne - Algebra - 1738 - 458 pages
...= 2r Mule If the Index of the firft Letter of any Term be Multiplyed into its own tJnci*, and that Produft be Divided by the Number of Terms to that place ; the Quotient will be the "undue of the next fucceeding Term forward : That is, by the help of thofe Indices that belong to the... | |
 | John Gough - Arithmetic - 1813 - 358 pages
...Rule. If the Index of the firft Letter of any Term be multiplied into its own Co-efficient, and the Produft be divided by the Number of Terms to that Place; the Quotient wilt b« the Co-efficient of the next fuceeeding Terra forward. Required to raife xfv to the 6th Power... | |
 | Bewick Bridge - Algebra - 1818 - 254 pages
...the rest. iv. That if the coefficient of a in any term be multiplied by its index, and the product divided by the number of terms to that place, the quotient will give the coefficient of the next term. Thus, . ,, f ., coeff. of a in the 2* term x its index In the... | |
 | Bewick Bridge - Algebra - 1821 - 284 pages
...the rest. iv. That if the coefficient of a in any term be multiplied by its index, and the product divided by the number of terms to that place, the quotient will give the coefficient of the next term. Thus, . . /. j7 coeff. of a in the 2d ttrm x its index In the... | |
 | Enoch Lewis - Algebra - 1826 - 180 pages
...exponent of the leading quantity, or first term of the root, contained in the same term of the power, and divided by the number of terms to that place; the quotient will be the co-efficient belonging to the next term.* Note. — To determine the signs of the different terms, it must be remembered... | |
 | Bewick Bridge - Algebra - 1839 - 280 pages
...the rest. IV. That if the coefficient of a in any term be multiplied by its index, and the product divided by the number of terms to that place, the quotient will give the coefficient of the next term. Thus, T , , , coeff. of a in the 2d term X its index 4x3 In... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1861 - 140 pages
...given power ; (iv.) If the coefficient of a in any term be multiplied by its index, and the product divided by the number of terms to that place, the quotient will give the coefficient of the next term. (This method is called from the name of its celebrated inventor,... | |
 | Francis Campin - 1872 - 364 pages
...co-efficient of each preceding term by the index of the leading quantity in that term, and divide the product by the number of terms to that place, the quotient will be the co-efficient of the next term. In the above case let the co-efficient for the fourth term (5th power) be required. We must deal... | |
 | Francis Campin - 1882 - 412 pages
...co-efficient of each preceding term by the index of the leading quantity in that ten», and divide the product by the number of terms to that place, the quotient will be the co-efficient oj the next term. In the above case let the со- efficient for the fouith term (5th power) be required.... | |
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Thus, in the square it is 2 ; in the cube it is 3 ; in the fourth power it is 4 ; and so of the rest. iv. That if the coefficient of a in any term be multiplied by its index, and the product divided by the number of terms to that place, the quotient will... 