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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 ... - Σελίδα 318
των James Ryan, Robert Adrain - 1824 - 516 σελίδες
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A Course of Mathematics: Designed for the Use of the Officers and ..., Τόμοι 1-2

Isaac Dalby - 1807
...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;...

A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - 1813 - 428 σελίδες
...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*...

An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1818 - 260 σελίδες
...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....

A Complete System of Theoretical and Mercantile Arithmetic: Comprehending a ...

George G. Carey - 1818 - 574 σελίδες
...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...

Arithmetic Modernised: Or, A Complete System of Arithmetic, Adapted to ...

John Davidson, Robert Scott (writing master) - 1818 - 172 σελίδες
...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...

An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 516 σελίδες
...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...

An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - 1825 - 312 σελίδες
...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....

An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - 1826 - 383 σελίδες
...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....

The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - 1826 - 164 σελίδες
...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,...

An Introduction to Algebra, with Notes and Observations: Designed for the ...

John Bonnycastle - 1829 - 312 σελίδες
...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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