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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. "
Conversations on Arithmetic, with Demonstrations to Each Rule - Σελίδα 131
των Leonard Pierce - 1823 - 156 σελίδες
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Daboll's Schoolmaster's Assistant: Improved and Enlarged, Being a Plain ...

Nathan Daboll - 1841 - 250 σελίδες
...place the cube of the last quotient figure, and add them together, calling their sum the subtrahend. 7. Subtract the subtrahend from the dividend, and to...remainder bring down the next period for a new dividend j with which proceed in the same manner, till the whole b• finished. NOTE. — If the subtrahend...

Practical and Mental Arithmetic: On a New Plan in which Mental Arithmetic is ...

Roswell Chamberlain Smith - 1841 - 306 σελίδες
...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 a new dividend. Double the quotient figures, that is, the root already found, and continne the operation as hefore,...

Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - 1841 - 324 σελίδες
...given poteer, and subtract it from as many left hand periods as the root has places of figures. 17. To the remainder bring down the next period for a new dividend, to which find a new divisor as before, and so on till the period* are all brought down. 18. What is...

Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1842 - 284 σελίδες
...IV. 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 the last figure of the root....

The Computist's Manual of Facts: And Merchant's and Mechanic's Calculator ...

Ezra S. Winslow - 1853 - 264 σελίδες
...diminished by one or two units) in the quotient. the cube of the same figure, and take the sum.for the subtrahend ; subtract the subtrahend from the...to the remainder bring down the next period for a dividend, with which proceed as with the preceding, so continuing until the whole is completed. NOTE...

An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - 1855 - 388 σελίδες
...for its next term. Multiply this term by the last found figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a NEW DIVIDEND. Proceed as before until all the periods have been brought down. NOTE 1. — When any dividend is not...

A Treatise on Algebra

Elias Loomis - 1855 - 356 σελίδες
...divisor. 4. Multiply the divisor thus increased by the last figure of tli& root ; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. 5. Double the whole root now found for a new divisor, and continue the operation, as before, until...

An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Peirce - 1855 - 308 σελίδες
...divisor. Multiply the divisor, thus augmented, 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. Double the root now found for a new divisor and continue the operation as before, until all the periods...

Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 592 σελίδες
...divisor. IV. Multiply the divisor thus obtained by the last digit of the root found ; subtract :he product from the dividend, and to the remainder bring down the next period for a new dividend. If the product just found exceeds the dividend, diminish the last digit of the root found, and proceed...

Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - 1856 - 334 σελίδες
...given power, and subtract it from as many left hand periods as the root has places of figures. 17. To the remainder bring down the next period for a new dividend, to which find a new divisor as before, and so on till the period* are all brought down. 18 What is...




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