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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. "
An Introduction to Algebra: With Notes and Observations: ... By John ... - Seite 20
von John Bonnycastle - 1782 - 201 Seiten
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The Analyst: Or, An Introduction to the Mathematics: Containing. The ...

1746 - 198 Seiten
...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 ..., Band 4

William Emerson - 1764 - 582 Seiten
...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 - 1780 - 574 Seiten
...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 ..., Band 1

1801 - 446 Seiten
...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 - 1808 - 470 Seiten
...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 ..., Band 1

John Bonnycastle - 1813 - 456 Seiten
...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 - 1814 - 304 Seiten
...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 - 1818 - 326 Seiten
...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 - 1820 - 352 Seiten
...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, Robert Adrain - 1824 - 542 Seiten
...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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