 | Olinthus Gregory - Mathematics - 1834 - 484 pages
...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...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... | |
 | John Bonnycastle - 1836 - 296 pages
...multiplying the quotient by the exponent 3, we have 10 for the coefficient of the 4th term, and so on. Note. The whole number of terms will be one more than...given power ; and when both terms of the root are +, all the terms of the power will be + j but if the second term be — , all the odd terms will be... | |
 | John Bonnycastle - 1848 - 334 pages
...the following quantity increased by unity. In this way the general result may be put down at sight. Note. — The whole number of terms will be one more...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... | |
 | John Bonnycastle - Algebra - 1851 - 288 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 term be — , all the odd terms will be... | |
 | Benjamin Greenleaf - Algebra - 1852 - 348 pages
...coefficient of the term next following. In this manner, all the coefficients will be obtained. NOTE 1. — The whole number of terms will be one more than 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... | |
 | Benjamin Greenleaf - Algebra - 1857 - 400 pages
...coefficient of the term next following. In this manner all the coefficients will be obtained. NOTE 1. — The whole number of terms will be one more than the...the root are -f-, all the terms of the power will be -f- ; but, if the second term be — , all the odd terms will be -f-, and all the even terms — ,... | |
 | Benjamin Greenleaf - Algebra - 1857 - 398 pages
...coefficients will be obtained. I NOTE 1. — The whole number of terms will be one more than the incite of the given power ; and, when both terms of the root are -J-, all the terms of the power will be -f- ; but, if the second term be — •, all the odd terms... | |
 | Olinthus Gregory - 1863 - 482 pages
...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...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... | |
 | Benjamin Greenleaf - Algebra - 1867 - 376 pages
...coefficient of the term next following. In this manner all the coefficients will be obtained. NOTE 1. — The whole number of terms will be one more than the...and, when both terms of the root are -f-, all the term a of the power will be -f- ; but, if the second term be — , all the odd terms will be -f-, and... | |
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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... 
