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" Take three times the square of the root just found for a trial divisor, and see how often it is contained in the dividend, and place the quotient for a second figure of the root. Then cube the figures of the root thus found, and if their cube be greater... "
An Introduction to Algebra Upon the Inductive Method of Instruction - Page 156
by Warren Colburn - 1831 - 276 pages
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The American Tutor's Assistant, Improved: Or, A Compendious System of ...

Zachariah Jess - Arithmetic - 1827 - 226 pages
...from the number of periods in the given number, as are represented by the last figure brought down. 8. To the remainder, bring down the first figure of the next period, for a new dividend. 9. Find a new divisor, as betöre, and thus proceed to the end, EXAMPLES. 1. What is...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1830 - 288 pages
...consist of one, two, or three figures. Find ike greatest third power in the left hand period, and write the root in the place of a quotient. Subtract the...found by three, to form a divisor. See how many times tJie divisor is contained in the dividend, and write the result in the root. Raise the root, thus augmented,...
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...of one two or three figures. 2°. Find the greatest third power in the left hand period, and write the root in the place of a quotient. Subtract the...figure of the next period for a dividend. Multiply the square of the root already found by three to form a divisor. See how many times the divisor is contained...
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Conkling's Arithmetic: The Young Arithmetician's Guide to a Knowledge of ...

Thomas Conkling (W.) - Arithmetic - 1831 - 302 pages
...power, (always,) from as many periods of the given number, as you have found figures in the root. 8. To the remainder, bring down the first figure of the next period, for a new dividend. 9. Find a new divisor, as before, and, in like manner,proceed, till the whole is finished....
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The Tutor's Assistant: Being a Compendium of Practical Arithmetic, for the ...

Francis Walkingame - 1833 - 204 pages
...involve the whole root to the given power for a subtrahend, which subtract from the first two periods. 6. To the remainder bring down the first figure of the next period for a new dividend ; find a new divisor and a new sub* trahend as before ; subtract from three periods, and...
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The Common School Arithmetic: Prepared for the Use of Academies and Common ...

Charles Davies - Arithmetic - 1833 - 284 pages
...of a quotient in division. Subtract the cube of this figure of the root from the first period, and to the remainder bring down the first figure of the next period, and call the number the dividend. III. Take three times the square of the root just found for a divisor...
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...given number, diminish the last figure ; but if it be less, subtract it from the first two periods, and to the remainder bring down the first figure of the next period, for a new dividend. IV. Take three times the square of the whole root for a new divisor, and seek how often...
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A Practical and Theoretical System of Arithmetic...: Also, a Treatise on ...

George Willson - Arithmetic - 1836 - 202 pages
...left-hand period, and place its root in the quotient. Subtract the cube from the first period, and to the remainder bring down the first figure of the next period for a dividend. 3. Multiply the square of the quotient by 3 for a divisor ; divide, and place the result in the quotient....
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 320 pages
...root. 5. Involve the whole root to the given power, and subtract it from the two left hand periods, and to the remainder bring down the first figure of the next period for a new dividend, and form a divisor from the whole root already found, in the same manner as before ;...
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A New Introduction to the Science of Algebra...

Silas Totten - Algebra - 1836 - 360 pages
...root. 5. Involve the whole root to the given power, and subtract it from the two left hand periods, and to the remainder bring down the first figure of the next period Jor a new dividend, and form a divisor from the whole root already found, in the same manner as before...
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