 | John Bonnycastle - 1848 - 334 sider
...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 so on, and the quotient will be the next term of the root. Involve the binomial part of the root so obtained to the proper power, and subtract the result from the given quantity.... | |
 | Jeremiah Day, James Bates Thomson - 1848 - 264 sider
...II. Take the root of the first term, for the first term of the required root. III. Subtract the power from the given quantity, and divide the first term of the remainder by the first term of the root inrolved io the next inferior power and multiplied by the index of the given... | |
 | Horatio Nelson Robinson - 1850 - 256 sider
...subtract its corresponding power from the first term, and bring down the second term for a dividend. will be the next term of the root. Involve the whole of the root Urns found, to its proper power, which subtract from the given quantity, and divide the first term... | |
 | John Bonnycastle - 1851 - 288 sider
...Ans. 1 + i — | + T V — ^ + 6T, &c CASE III. To find any root of a compound quantity. RULE.—Find the root of the first term, which place in the quotient;...proceed in this manner till the whole is finished.* EXAMPLES. 1. Required the square root of « 4 — 2a?x + 3a 2 x 2 — 2ax 3 a* _ 2a*x + 30V - 2ax*... | |
 | Benjamin Greenleaf - 1852 - 348 sider
...the quotient will be the next term of the root. 5. Involve the whole root thus found to the required power, which subtract from the given quantity, and...term of the remainder by the same divisor as before. 6. Proceed in this manner for the next term of the root, and so proceed until the work is finished.... | |
 | Archibald Montgomerie - 1857 - 116 sider
...the cube root of the first term for the first term of the answer. (2.) Subtract the cube of this term from the given quantity, and divide the first term of the remainder by three times the square of the part of the root found ; setting down the quotient for the next term... | |
 | Horatio Nelson Robinson - 1858 - 372 sider
...three times the square of it for the CUBE root, four time» the third power for the. fourth root, &LC., and the quotient will be the next term of the root. Involve the u-hole of the root, thus found, to its proper power, which subtract from the given quantity, and divide... | |
 | Benjamin Greenleaf - 1860 - 490 sider
...quotient will be the next term of the root. 5. Involve the whole root thus found to the required pmver, which subtract from the given quantity, and divide...term of the remainder by the same divisor as before. 6. Proceed in this manner for the next term of the root, and so proceed until the work is finished.... | |
 | Horatio Nelson Robinson - 1863 - 374 sider
...three times the square of it for the CUBE root, four times the third power for the fourth root, &c., and the quotient will be the next term of the root. Involve the whole of tm root, t^us found, to its proper power, to/rich subtract from the given quantity, and divide the... | |
 | William Frothingham Bradbury - 1868 - 270 sider
...polynomial by the first term of the root raised to the next inferior power and multiplied by the index of the root. Involve the whole of the root thus found to the given power, and subtract it from the polynomial. If there is any remainder, divide its first term... | |
| |
... and the quotient will be the next term Of the root. Involve the whole of the root, thus found, to its proper power... 
