 | John Bonnycastle - 1806 - 234 Seiten
...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 - 1806 - 526 Seiten
...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 - 1813 - 456 Seiten
...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....proceed in this manner, till the whole is finished (л1). - (т) As this rule, in high powers, is often found to be very laborious, it may be proper to... | |
 | Jeremiah Day - 1814 - 304 Seiten
...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 - 1818 - 284 Seiten
...compound quantity. RULE. Find the root of the first term, which place in the quotient ; and baving subtracted its corresponding power from that term,...same divisor as before ; and proceed in this manner tilt the whole is finished. (;,) * EXAMPLES. 1. Required the square root of a4 — 2a3a:+3a'3:s —... | |
 | James Ryan, Robert Adrain - 1824 - 542 Seiten
...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....term of the remainder by the same divisor as before. Proceed in the same manner, for the next following term of the root ; and so on, till the whole is... | |
 | James Ryan - 1824 - 550 Seiten
...three times the square of it, for the cube root; by four times the cube of it, for the fourth root, &e. and the quotient will be the next term of the root....term of the remainder by the same divisor as before. Proceed in the same manner, for the next following term of the root ; and so on, till the whole is... | |
 | John Bonnycastle - 1825 - 336 Seiten
...twice the part of the root 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...proceed in this manner till the whole is finished*. « As this rule, in high powers, is often found to be very laborious, it may be proper to observe,... | |
 | Jeremiah Day - 1827 - 352 Seiten
...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... | |
 | John Bonnycastle - 1829 - 372 Seiten
...of 1 + 1 • ADS. I +i - H-TV - A+I"J . &c CASE III. To find any root of a compound quantity.^ Find the root of the first term, which place in the quotient...proceed in this manner till the whole is finished.* * As this rule, in high powers, is often found to be very laborious, it may iroper to observe, (hat... | |
| |
... and the quotient will be the next term of the root. Involve the whole of the root, thus found, to its proper power, which subtract from the given quantity, and divide the first term of the remainder by the same divisor as before... 
