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" Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. V. Double the whole root already found, for a new divisor, and continue... "
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... - Page 127
by Benjamin Peirce - 1858 - 284 pages
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 250 pages
...to the remainder bring down the next period for a new dividend. 5th. Double the whole root already found, for a new divisor, and continue the operation...as before, until all the periods are brought down. EXTRACTION OF THE SQUARE ROOT. NOTE. — If, in any case, the dividend will not contain the divisor,...
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The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - Arithmetic - 1850 - 412 pages
...should 'exceed the dividend, diminish the last figure of the root. V. Double the whole root already found, for a new divisor, and continue the operation...as before, until all the periods are brought down. EXAMPLES. 1. "What is the square root of 263169 ? We first place a dot over the 9, OPERATION. making...
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Elements of Algebra: Including Sturms' Theorem

Bourdon (M., Louis Pierre Marie) - Algebra - 1850 - 386 pages
...and to the remainder bring down the next period for a new dividend. V. Double the whole root already found, for a new divisor, and continue the operation as before, until all the periods are brought ¿own. I. REMARK. — If, after all the periods are brought down, there is no remainder, the proposed...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1850 - 292 pages
...be greater than the dividend, diminish the last figure of the root. V. Double the whole root already found, for a new divisor, and continue the operation as before, until all the periods are •.t ought down. O7. 1st REMARK. If, after all the periods are brought down, there is no remainder,...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...to the remainder bring down the next period for a new dividend. 5th. Double the whole root already found for a new divisor, and continue the operation...as before, until all the periods are brought down. NOTE. — If, in any case, the dividend will not contain the divisor, the right hand figure of the...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - Algebra - 1848 - 250 pages
...to the remainder bring down the next period for a new dividend. 5th. Double the whole root already found, for a new divisor, and continue the operation...as before, until all the periods are brought down. NOTE.' — If, in any case, the dividend will not contain the iivisor, the right hand figure of the...
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The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - Arithmetic - 1852 - 438 pages
...should exceed the dividend, diminish the last figure of the root. V. Double the whole root already found, for a new divisor, and continue the operation as before, until all the periods an brought down. EXAMPLES. 1. What is the square root of 263169 ? QUEST. — 308. What is the first...
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School Arithmetic: Analytical and Practical

Charles Davies - 1852 - 344 pages
...bring down the next period for a new dividend. V. Double the whole root thus found, for a new trial divisor, and continue the operation as before, until all the periods are brought down. EXAMPLES. 1. What is the square root of 263169 ? OPERATION. ANALYSIS. — We first place a dot over...
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An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Peirce - Algebra - 1855 - 296 pages
...approximation ; for the square of a being already subtracted, it is sufficient to subtract (2 a -fh) h from the remainder, in order to obtain the next remainder....of 28111204. Solution. The operation is as follows : 28 11 1204 1 5302 = Ans. 25 1st Rern. 311 309 103 1st Divisor. 2d Rem. 2121 106 2d Divisor. 3d Rem....
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An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Peirce - Algebra - 1855 - 308 pages
...approximation ; for the square of a being already subtracted, it is sufficient to subtract (2a-fA)A from the remainder, in order to obtain the next remainder....until all the periods are brought down. The Square Hoot of Numbers. 190. EXAMPLES. 1. Find the square root of 28111204. Solution. The operation is as...
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