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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 + ; but if the second term be — , all the odd terms will be... "
An Introduction to Algebra: With Notes and Observations: ... By John ... - Seite 20
von John Bonnycastle - 1782 - 201 Seiten
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Band 1

1801 - 446 Seiten
...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...the root are +, all the terms of the power will be -{- ; but if the second term be — , then all the odd terms will ke +, arid the even terms — * EXAMPLES.,...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - 1808 - 470 Seiten
...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 be +, and the even terms...
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A Treatise on Algebra, in Practice and Theory: With Notes and ..., Band 1

John Bonnycastle - 1813 - 456 Seiten
...it, and the product be divided :by the number of terms to that place, it will give the coefficient of the term next following. Note. The whole «number...the root are + , all the terms of the power will be + ; but if the second tenu be — , all the odd terms will be + , and the -even terms — ; or, which...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Band 1

Charles Hutton - 1816 - 610 Seiten
...rule will find all the co- efficients, one after another. Note- The whole number of terms will be 1 more than the index of the given power : and when...the root are +,all the terms of the power will be + ; but if the second term be — , all the odd terms will be -fi and all the even terms — , which...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1818 - 284 Seiten
...in it, and the product be divided by the number of terms to that place, it will give the coefficient of the term next following. Note. The whole number...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 - 1818 - 326 Seiten
...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 ..., Band 1

Charles Hutton - 1818 - 646 Seiten
...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 - 1822 - 616 Seiten
...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...the root are +, all the terms of the power will be + ; but if the second term be — , all the odd terms will be +, and all the even terms — , which...
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An Introduction to Algebra, with Notes and Observations: Designed for the ...

John Bonnycastle - 1829 - 372 Seiten
...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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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1834 - 472 Seiten
...quantity, and the product be divided by the number of terms to that place, it will give the coefficient of the term next following.* Note. — The whole number...the root are +, all the terms of the power will be + ; but if the second term be — , all the odd terms will be +, and the even terms — . Examples....
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