 Divide the first term of the remainder by twice the first term of the root, and add the quotient to the part of the root already found, and also to the trial-divisor.  Elementary Algebra - Σελίδα 245των Herbert Ellsworth Slaught, Nels Johann Lennes - 1915 - 373 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | William Smyth - 1830 - 278 σελίδες
...this remainder therefore by twice the terms of the root already found, or which is the same thing, dividing the first term of the remainder by twice the first term of the root, we shall obtain the third term sought. Subtracting from the first remainder twice the product of the... | |
 | Peter Nicholson - 1831 - 326 σελίδες
...the root of the first term, and subtract it therefrom, then bring down the next two terms, and divide the first term of the remainder by twice the first term of the root, and put the result both in the quotient and divisor ; then proceed as in arithmetic. EXAMPLES. (') Required... | |
 | William Smyth - 1836 - 288 σελίδες
...the terms of the root already found, or which is the same thing, divid140 ELEMENTS OF ALGEBHi. ing the first term of the remainder by twice the first term of the root, we shall obtain the third term sought. Subtracting from the first remainder twice the product of the... | |
 | John Hind - 1837 - 584 σελίδες
...which b is to be obtained: but 2ab + b2 is the same as (2 a + b) b, and therefore b will be determined by dividing the first term of the remainder by twice the first term of the root, and to complete the operation, twice this first term THE SQUARE EOOT. together with the second must be... | |
 | Wales Christopher Hotson - 1842 - 306 σελίδες
...is a, the first term of the root; subtracting its square from the whole quantity and dividing 2a6, the first term of the remainder, by twice the first term of the root, we obtain b, the second term of the root ; adding b to 2a, proceeding with 2a + b as a divisor and... | |
 | William Scott - 1844 - 568 σελίδες
...higher than in the other terms of R. • Therefore B is this douole product ; therefore the second term of the root is found by dividing the first term of R by the double of the first term of the root. Two terms, a, b, of the root being found, if b is added... | |
 | Charles Davies - 1845 - 382 σελίδες
...the first term of the root. Subtract the square of this term from the given polynomial. II. Divide the first term of the remainder by twice the first term of the root, and the quotient will be the second term of the root. III. From the first remainder subtract the product... | |
 | John Bonnycastle - 1848 - 334 σελίδες
...term of the root, and subtract the corresponding power of this term from the given quantity ; divide the first term of the remainder by twice the first term of the root, for the square root ; by three times the square of the first term of the root, for the cube root, and... | |
 | Benjamin Greenleaf - 1852 - 348 σελίδες
...b is to be obtained ; but 2aJ-|-J 2 is the same as (2a-|-J)5 ; and, therefore, b will be determined by dividing the first term of the remainder by twice the first term of the root. To complete the operation, twice this first term, together with the second, must be multiplied by the... | |
 | William Smyth - 1855 - 370 σελίδες
...this remainder, therefore, by twice the terms of the root already found, or which is the same thing, dividing the first term of the remainder by twice the first term of the root, we shall obtain the third term sought. Subtracting from the first remainder twice the product of the... | |
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