 | John Bonnycastle - Algebra - 1806 - 234 pages
...and multiply it by the index of the given power for a divifor. 4. Divide the dividend by the divifor, and the quotient will be the next term of the root. . Involve the whole root, and fubtraft and divide as ore j and fo on till the whole is fin ¡(bed. EXAMPLES. i. Required... | |
 | Isaac Dalby - Mathematics - 1806 - 526 pages
...the quotient is the second term m the root : VOL. I I. K Subtract the cube of the root already found from the given quantity, and divide the first term of the remainder by 3 times the square of the first term, as before, and the quotient is the third term in the root : Subtract... | |
 | John Bonnycastle - Algebra - 1813 - 456 pages
...three times the square of it, for the cube root; or by four times the cube of it, for the 4th root, &c. and the quotient will be the next term of the root....term of the remainder by the same divisor as before; and proceed in this manner, till the whole is finished (л1). - (т) As this rule, in high powers,... | |
 | Jeremiah Day - Algebra - 1814 - 304 pages
...next, Sic. Take the root of the first term, for the first term of the required root: Subtract the power from the given quantity, and divide the first term of the remainder, by the first term of the root involved to the next inferiour power, and multiplied by the index of the given... | |
 | John Bonnycastle - Algebra - 1818 - 284 pages
...above determined, for the square root ; by three times the square of it, for the cube root, and so on ; and the quotient will be the next term of the root...term of the remainder by the same divisor as before ; and proceed in this manner tilt the whole is finished. (;,) * EXAMPLES. 1. Required the square root... | |
 | James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...three times the square of it, for the cube root; by four times the cube of it, for the fourth root, &c. and the quotient will be the next term of the root....finished. 302. This rule may be demonstrated thus ; =an+na""lb+ &c. (Art. 289). Here the nth root of a" is rt, and the next term nan~' 6 contains 6,... | |
 | John Bonnycastle - Algebra - 1825 - 336 pages
...above determined, for the square root ; by three times the square of it, lor the cube root, and so on ; and the quotient will be the next term of the root....term of the remainder by the same divisor as before ; and proceed in this manner till the whole is finished*. « As this rule, in high powers, is often... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...next, &c. Take the root of the first term, for the first term of the required root : Subtract the power from the given quantity, and divide the first term of the remainder, by the first term of the root involved to the next inferior power, and multiplied by the index of the given... | |
 | Bewick Bridge - Algebra - 1832 - 220 pages
...three times the square of it for the cube root; by four times the cube of it for the fourth root, &c. and the quotient will be the next term of the root. Involve the whole of the root thus found to the given power, and subtract from the given quantity; divide the first term of the remainder by the... | |
 | Olinthus Gregory - Mathematics - 1834 - 484 pages
...multiply .it by the index of the given power for a divisor. — Divide the div-dcnd by the divisor, and the quotient will be the next term of the root — Involve the whole root, and subtract and divide as before ; and so on till the whole is finished. Examples. s . 1. Find... | |
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... and the quotient will be the next term Of the root. Involve the whole of the root, thus found, to its proper power... 
