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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 But if any of the products should be greater than the dividend, diminish... "
First Lessons in Algebra: Embracing the Elements of the Science - Page 138
by Charles Davies - 1839 - 252 pages
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Mental and Practical Arithmetic

Charles Davies - Arithmetic - 1838 - 292 pages
...and to the remainder bring down the next period for a new dividend. But if the product should exceed the dividend, diminish the last figure of the root....as before, until all the periods are brought down. EXAMPLES. 1. What is the square root of 263169 ? 101)131 101 1023)3069 3069 We first place a dot over...
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Elements of Algebra

Algebra - 1838 - 372 pages
...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...as before, until all the periods are brought down. 1st. REMARK. If, after all the periods are brought down, there is no remainder, the proposed number...
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Arithmetic, in which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - 1839 - 268 pages
...from the dividend ; to the remaindei bring down the next period for a new dividend. IV. Double the root already found for a new divisor, and continue...as before, until all the periods are brought down. Note 1. If we double the right hand figure of the last divisor, we shall have the double of the root....
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1840 - 278 pages
...from the dividend ; to the remainder 'bring down the next period for a new dividend. IV. Double the root already found for a new divisor, and continue...as before, until all the periods are brought down. Note 1. If we double the right hand figure of the last divisor, we shall have the double of the root....
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Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...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 1st. REMARK. If, after all the periods are brought down, there is no remainder, the proposed number...
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Arithmetic, designed for academies and schools, with answers

Charles DAVIES (LL.D.) - Arithmetic - 1843 - 348 pages
...and to the remainder bring down the next period for a new dividend. But if the product should exceed the dividend, diminish the last figure of the root....as before, until all the periods are brought down. Q. What is required when we wish to extract the square root of a number? What is the greatest square...
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Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - Arithmetic - 1844 - 358 pages
...and to the remainder bring down the next period for a new dividend. But if the product should exceed the dividend, diminish the last figure of the root....as before, until all the periods are brought down. Q. What is required when we wish to extract the square root of » number? What is the greatest square...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...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 proceed as before, till all the periods are brought down. The root will be doubled if the right-hand...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...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...as before, until all the periods are brought down. 1. REMARK. — If, after all the periods are brought down, there is no remainder, the proposed number...
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The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - Arithmetic - 1846 - 370 pages
...and to the remainder bring down the next period for a new dividend. But if the product should exceed the dividend, diminish the last figure of the root....as before, until all the periods are brought down. EXAMPLES. 1. What is the square root of 263169 1 QUEST. — 308. What is the first step in extracting...
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