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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. "
An Elementary Treatise on Algebra: Theoretical and Practical - Page 318
by James Ryan, Robert Adrain - 1824 - 516 pages
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A Course of Mathematics: Designed for the Use of the Officers ..., Volumes 1-2

Isaac Dalby - Mathematics - 1807 - 968 pages
...also, on the right of. the divisor. ' . . Multiply the augmented divisor by this last quotient figure, 'and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. Then find a new divisor by doubling the figures of the quotient;...
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A Treatise on Algebra, in Practice and Theory: With Notes and ..., Volume 1

John Bonnycastle - Algebra - 1813 - 456 pages
...dividend. Divide the dividend, thus found, by double that part of the root already determined, and set the result both in the quotient and divisor. Multiply...quotient, and subtract the product from the dividend; and so on, as in common arithmetic. EXAMPLES. 1 . Extract the square root of x* — 4л? Ч- 6x* — (X*...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 284 pages
...double that part of the root already determined, and set the result both in the quotient and divisor. 4. Multiply the divisor, so increased, by the term of...quotient, and subtract the product from the dividend ; and so on, as in common arithmetic. I EXAMPLES. 1. Extract the square root of x3 — 4z3+6za— 4x-fl....
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A Complete System of Theoretical and Mercantile Arithmetic: Comprehending a ...

George G. Carey - Arithmetic - 1818 - 602 pages
...under the other parts. Multiply the sum of these three parts by the figure last put in the quotient, subtract the product from the dividend, and to the remainder bring down the next period for a new dividend, to which find a divisor, by multiplying the square of the whole...
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Arithmetic Modernised: Or, A Complete System of Arithmetic, Adapted to ...

John Davidson, Robert Scott (writing master) - Arithmetic - 1818 - 190 pages
...tum of these three parts will be the complete divisor, which multiply by the last figure of the root, subtract the product from the dividend, and to the remainder bring down the next part for a new dividend. Proceed in the same manner as before to find the divisor and the...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...square of the last result, with their proper signs ; and it will give the divisor, multiply the divisor by the term of the root last placed in the quotient, and subtract the prodvjct faovcv \>rwg down three terms or as man^ a* sary for a dividend, and proceed Ex. 1. Required...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - Algebra - 1825 - 336 pages
...double that part of the root already determined, and set the result both in the quotient and divisor. 4. Multiply the divisor, so increased, by the term of...quotient, and subtract the product from the dividend ; and so on, as in common arithmetic. EXAMPLES. 1. Extract the square root of a;4— 4x3-\-6xx— 4a;+l....
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An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - Algebra - 1826 - 430 pages
...square of the last result, with their proper signs ; and it will give the divisor, multiply the divisor by the term of the root last placed in the quotient, and subtract the product from the dividend, bring down three terms or as many as may be necessary for a dividend, and proceed as before. Ex. 1....
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The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - Arithmetic - 1826 - 176 pages
...also on the right hand of the divisor ; multiply the divisor by the figure in the root last found, subtract the product from the dividend, and to the remainder bring down the next period fora new dividend. 4. Find a divisor as before, by doubling the figures in the root,...
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An Introduction to Algebra, with Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1829 - 372 pages
...set the result both in the quotient and divisor. 4. Multiply the divisor, so increased, by the terra of the root last placed in the quotient, and subtract the product from the dividend ; and so on, as in common arithmetic. EXAMPLES. I.- Extract the square root of xt-4x3+Qx2—4x+l . zi _4r'+6a:2—...
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