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" Note. The whole number of terms will be one more than the index of the given power ; and when both terms of the root are +, all the terms of the power will be... "
An Introduction to Algebra: With Notes and Observations: Designed for the ... - Page 30
by John Bonnycastle - 1782 - 201 pages
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801 - 446 pages
...terms to that place, it will give the coefficient of the term next following. NOTE. Tke whole namber of terms will be one more than the index of the given power ; and, when both terms of the root are +, all the terms of the power will be -{- ; but if the second term be — , then all the odd terms...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Algebra - 1808 - 470 pages
...the coefficient of the term next following. Naif. The whole number of terms will be one more than die index of the given power ; and when both terms of the root are +, all the terms of the powers will be + ; but if the second term be — , then all the odd terms will...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...rule will find all the co-efficients, one after another. /Vote. The whole number of terms will be 1 more than the index of the given power : and when both terms of the root are + , all the terms of the power will be -f- ; but if the second term be — , all the odd terms will...
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A Treatise on Algebra, in Practice and Theory: With Notes and ..., Volume 1

John Bonnycastle - Algebra - 1813 - 456 pages
...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 of the term...given power ; and when both terms of the root are + , all the terms of the power will be + ; but if the second tenu be — , all the odd terms will be...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 284 pages
...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 of the term...given power ; and when both terms of the root are +. *U the terms of the power will he -f ; but if the second term be — , all the odd terms will be...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 326 pages
...the number of terms to that place, it will give the coefficient of the term next following. JVo<e. The whole number of terms will be one more than the index of the £*iven power ; and when both terms of the root are +, all the terms of the power will be + ; but if...
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A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volume 1

Charles Hutton - Arithmetic - 1818 - 646 pages
...find all the co-efficients, one after another. Note. The whole number of term? will be 1 more than thp index of the given power : and when both terms of the root are +, nil the terms of the power will bu + ; but if the second term be — , all the odd terms will be...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...rule will find all the co-efficients, one afler another. Note. The whole number of terms will be 1 more than the index of the given power : and when both terms of the root are +, all the terms of the power will be + ; but if the second term be — , all the odd terms will be...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - Algebra - 1825 - 336 pages
...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 of the term...given power ; and when both terms of the root are +, all the terms of the power will be -f- : but if the second term be — , all the odd terms will...
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An Introduction to Algebra, with Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1829 - 372 pages
...that place, it will give t'»e coefficient of the term next following. Note. The wh..i • number ot terms will be one more than the index of the given power ; and when both terms of the root are 4-, all the terms of the power will be + ; but if the second term be - , all the odd terms will be...
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