 | William Scott - 1844 - 568 σελίδες
...polynomial, Arrange the terms of the polynomial according to the descending powers of the same letter. Find the square root of the first term, and subtract its square from the polynomial ; divide the first term of the remainder by double the first term of the root ; the quotient... | |
 | Benjamin Greenleaf - 1852 - 348 σελίδες
...another term of the root will be obtained, and so on ; and hence we have the following GENERAL RULE. 'Arrange the terms in the order of the magnitudes...last quantity by twice the first, and affix it with the proper sign to the divisor. Multiply this result by the second term of the root, and bring down... | |
 | Benjamin Greenleaf - 1853 - 370 σελίδες
...another term of the root will be obtained, and so on; and hence we have the following GENERAL RULE. Arrange the terms in the order of the magnitudes of...quantity. Bring down the next two terms, and find the nezt term of the root by dividing this last quantity by twice the first, and affix it, with the proper... | |
 | Benjamin Greenleaf - 1854 - 374 σελίδες
...another term of the root will be obtained, and so on ; and hence we have the following GENERAL RULE. Arrange the terms in the order of the magnitudes of...this last quantity by twice the first, and affix it, unth the proper sign, to the divisor. Multiply this result by the second term of the root, and bring... | |
 | Benjamin Greenleaf - 1867 - 376 σελίδες
...another term of the root will be obtained, and so on ; and hence we have the following GENERAL RULE. Arrange the terms in the order of the magnitudes of...and subtract its square from the proposed quantity . Tiring down the next two terms, and find the next term of the root by dividing this last quantity... | |
 | Charles Scott Venable - 1880 - 168 σελίδες
...+ b ) lab + b' 2ab + V That is, 1. Arrange the polynomial with reference to one of its letters. 2. Find the square root of the first term, and subtract its square from the polynomial. 3. For a divisor double the first term of the root. Divide the first term of the remainder... | |
 | Charles Scott Venable - 1890 - 170 σελίδες
...+ V a + b a' 2a b)-2ab That is, 1. Arrange the polynomial with reference to one of its letters. 2. Find the square root of the first term, and subtract its square from the polynomial. 3. For a divisor double the first term of the root. Divide the first term of the remainder... | |
 | George Wentworth, David Eugene Smith - 1913 - 478 σελίδες
...root of a polynomial, Arrange the terms according to the powers of some letter. Find the principal square root of the first term, and subtract its square from the polynomial. Divide the first term of the remainder by twice the first term of the root, and write the... | |
 | George Wentworth - 1913 - 316 σελίδες
...root of a polynomial, Arrange the terms according to the powers of some letter. Find the principal square root of the first term, and subtract its square from the polynomial. Divide the first term of the remainder by twice the first term of the root, and write the... | |
 | Florian Cajori, Letitia Rebekah Odell - 1915 - 240 σελίδες
...devise a rule which is applicable to more complicated cases. The procedure is as follows : I. Extract the square root of the first term and subtract its square from the polynomial, leaving 2 ab + b*. II. We see in 2 ab the factor b which we know is the second term of... | |
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If the proposed quantity consists of more terms, it is evident that we have only to consider a-\-b in the place of a, and then by the same process another term of the root will be obtained, and so on ; and hence we have the following GENERAL RULE. 'Arrange... 