 | William Emerson - 1780 - 574 σελίδες
...multiplied by the index of thp leading quantity, and divided by the number of terms to that place 5 it gives the coefficient of the next following term....all the terms of the power will be + ; but if the fe-> cond term be ~, then all the odd terms will be •+-, and all the even terms — . Ex. 6. Involve... | |
 | John Bonnycastle - 1782 - 272 σελίδες
...following. 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 -f ; but if the fecond term be — , then all the odd terms will be-f , and the even terms — . EXAMPLES:... | |
 | 1801 - 446 σελίδες
...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 will ke +, arid the even terms — * EXAMPLES., i i. Let... | |
 | Samuel Webber - 1808 - 466 σελίδες
...2+l=4=22, for the square ; 1 + 3+34.!=$ =a .i. for the cube, or third power ; and so on. V0L, I. LI of the root are +, all the terms of the power will be + ,- but if the second term be — , then all the odd terms will be -f, and the even terms — . EXAMPLES. 1. Let a+x... | |
 | Nicolas Pike - 1808 - 470 σελίδες
...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... | |
 | John Bonnycastle - 1811 - 230 σελίδες
...o /.J, &C. 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 +| and the even terms — . EXAMPLES. 1. Let a-\-x be... | |
 | Charles Hutton - 1812 - 620 σελίδες
...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 be +, and all the even terms — , which... | |
 | John Bonnycastle - 1813 - 456 σελίδες
...following. 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 tenu be — , all the odd terms will be + , and the -even terms — ; or, which is the same... | |
 | Charles Hutton - 1816 - 610 σελίδες
...after 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 -fi and all the even terms — , which causes the terms... | |
 | John Bonnycastle - 1818 - 326 σελίδες
...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 the second term be — , all the odd terms will be +, and the even terms — ; or, which is the same thing,... | |
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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 +, and the even terms —... 
