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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. "
Elements of Algebra: Including Sturm's Theorem - Page 111
1847 - 368 pages
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Practical Mercantile Arithmetic: In which the Theory and Practice of ...

Luther Ainsworth - Arithmetic - 1837 - 298 pages
...figure of the root ; then place the square of it under the first period, and subtract it therefrom, and to the remainder bring down the next period, for a new dividend. Q. You have now found the first figure of the root ; what is the next process ? A. Double this first...
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The Common School Arithmetic ...: To which is Added a Dictionary of ...

Peirpont Edward Bates Botham - Arithmetic - 1837 - 252 pages
...subtrahend, which parts add together, calling their amount the total subtrahend. 5. Subtract said subtrahend from the dividend, and to the remainder bring down the next period, for another dividend. 6. To find a divisor for said dividend, square the figures in the quotient, and multiply...
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Mental and Practical Arithmetic

Charles Davies - Arithmetic - 1838 - 292 pages
...exclusive of the right hand figure, and place the figure in the root and also at the right of the divisor. IV. Multiply the divisor, thus augmented, by the last...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. V. Double the...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 272 pages
...exclusive of the right-hand figure, and place the figure in the root and also at the right of the divisor. IV. Multiply the divisor, thus augmented, by the last...remainder bring down the next period for a new dividend. But if any of the products should be greater than the dividend, diminish the last figure of the root....
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The North American Arithmetic: For Advanced Scholars. part third

Frederick Emerson - Arithmetic - 1839 - 300 pages
...the divisor completed. Lastly — Multiply the divisor thus completed, by the figure last placed in the root, and subtract the product from the dividend;...remainder bring down the next period for a new dividend. Thus proceed, till the whole root is extracted. Observe, that, when the divisor is not contained in...
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Complete Schoolmaster's Assistant: Being a Plain Comprehensive System of ...

Nathan Daboll - 1839 - 220 pages
...figure under these two products, and call their amount the subtrahend. VIII. Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before ; and so on till the whole is finished. Note 1. If the subtrahend happens...
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Arithmetic, in which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - 1839 - 268 pages
...the cube of this quotient figure, and call their amount the subtrahend. VII. Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before ; and so on, till the whole is finished. Note 1. If it happens that the...
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Practical and Mental Arithmetic ...

Roswell Chamberlain Smith - 1839 - 308 pages
...increased divisor by the last quotient figure, and write the product under the dividend. Subtract this product from the dividend, and to the remainder bring down the next period, for 4 new dividend. Double tito quotient figures, that is, the root already found, and continue the operation...
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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1839 - 356 pages
...in the dividend, in which it was inquired how many times the divisor was contained ; subtract this product from the dividend, and, to the remainder, bring down the next figure of the dividend, and then inquire how many times this number will contain the divisor, and place...
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A Treatise on Algebra

Elias Loomis - Algebra - 1858 - 394 pages
...square of the second figure. 5. Multiply the divisor thus increased by the last figure of the root ; subtract the product from the dividend, and to the...remainder bring down the next period for a new dividend. 6. Take three hundred times the square of the whole root now found for a new trial divisor, and continue...
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