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Books Books 1 - 10 of 30 on ... and the product be divided :by the number of terms to that place, it will give....
" ... and the product be divided :by the number of terms to that place, it will give the coefficient of the term next following. "
An Introduction to Algebra: With Notes and Observations: Designed for the ... - Page 30
by John Bonnycastle - 1782 - 201 pages
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The Analyst: Or, An Introduction to the Mathematics: Containing. The ...

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....
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Cyclomathesis: Or, An Easy Introduction to the Several Branches of ..., Volume 4

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....
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A treatise of algebra: in two books ...

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...
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

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...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

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...
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A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

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...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

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...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

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...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

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...
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An Elementary Treatise on Algebra, Theoretical and Practical ...

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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