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" The last two figures of the root are found by division. The rule in such cases is, that two less than the number of figures already obtained may be found without error by division, the divisor to be employed being three times the square of the part of... "
Algebra for Beginners: With Numerous Examples - Page 210
by Isaac Todhunter - 1880 - 328 pages
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1866 - 580 pages
...+ b, that is, three times the part of the root already found. Moreover, we must add such a quantity to the second column as to obtain there three times...found. This is conveniently effected thus; we have (3a + i)&| already in the second column (За + b) b, and °a + oab + b > below that За2 + Заб...
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1866 - 618 pages
...column, and add the last three lines in this column; thus we obtain I2xf — 36ся3 + 27cV, which is three times the square of the part of the root already found. Now divide the remainder in the third column by the expression just obtained, and we arrive at сг...
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A Treatise on Algebra

Elias Loomis - Algebra - 1868 - 386 pages
...remainder, the first term of the second remainder is 126- 2 a 4 . To form the new trial divisor, we take three times the square of the part of the root already found, viz., 2a 2 — 3ba. Divide the first term of the remainder by 12a 4 , and we obtain 6 2 for the last...
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Algebra

Isaac Todhunter - 1870 - 818 pages
...is, three times the За + 36 part of the root already found. Moreover, we must add such a quantity to the second column as to obtain there three times...the square of the part of the root already found. ТЫя is conveniently effected thus: we have (За +6) 6 already in the second column (За + b) b,...
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1870 - 626 pages
...is, three times the За + 36 part of the root already found. Moreover, we must add such a quantity to the second column as to obtain there three times the square of tJie part of the root already found. This is conveniently effected thus: we have ^ (За + 5) 51 already...
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Artithmetic theoretical and practical

William Harding Girdlestone - 1870 - 482 pages
...must annex two ciphers, in order to increase their square an hundredfold. Thus finally we shall obtain three times the square of the part of the root already found. With these fresh numbers we continue the operation ••• before. L IL III. 150 •0001S5193 (•057...
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A Treatise on Algebra

Elias Loomis - Algebra - 1873 - 396 pages
...increased by the last term of the root, and subtract the product from Hie last remainder. 5Hi. Take three times the square of the part of the root already found for a new trial divisor, and proceed by division to find another term of the root. 6th. Complete the...
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The boys' algebra

James Cahill (of Dublin.) - Algebra - 1875 - 230 pages
...for the first term of the root, and subtract its cube from the given quantity. (3) Take for divisor three times the square of the part of the root already found, divide this into the leading term of the remainder, and the quotient is the next term of the root....
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A Practical Business Arithmetic ...

Lorenzo Fairbanks - 1875 - 472 pages
...from the left-hand period, and to the remainder bring down the next period for a dividend. III. Take three times the square of the part of the root already found for a trial divisor. IV. Find how many times the trial divisor is contained in the dividend, exclusive...
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The Franklin Written Arithmetic with Examples for Oral Practice

Edwin Pliny Seaver - Arithmetic - 1878 - 364 pages
...used, and with the remainder unite the next three terms of the given number for a dividend. 4. Take three times the square of the part of the root already found for a trial divisor, and by this divide the dividend (rejecting the lowest two terms of the dividend)...
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