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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. "
The Common School Arithmetic: Prepared for the Use of Academies and Common ... - Page 238
by Charles Davies - 1833 - 270 pages
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Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - Arithmetic - 1844 - 358 pages
...area is 1296. Hence we have CASE I. § 181- To extract the square root of a whole number. RUI.E. I. Point off the given number into periods of two figures...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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Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - Arithmetic - 1844 - 666 pages
...the square root of a whole number. KU1E. I. Point off the given number into periods of two figure* each, counted from the right, by setting a dot over...remainder bring down the next period for a new dividend. But if tlie product should exceed the dividend, diminish the last figure of the root. V. Double the...
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Arithmetic: Designed for Academies and Schools,(with Answers.)

Charles Davies - Arithmetic - 1844 - 356 pages
...also at the right of the divisor. IV. Multiply ihe divisor, thus augmented, by the last figure oftiie root, and subtract the product from the dividend,...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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Introduction to The National Arithmetic: On the Inductive System; Combining ...

Benjamin Greenleaf - Arithmetic - 1844 - 208 pages
...the cube of the last quotient figure, and call their sum the subtrahend. 7. 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 completed. NOTE 1 . The same rule must be...
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Introduction to The National Arithmetic, on the Inductive System: Combining ...

Benjamin Greenleaf - Arithmetic - 1844 - 204 pages
...the cube of the last quotient figure, and call their sum the subtrahend. 7. 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 completed. NOTE 1 . The same rule must be...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...divisor. IV. Multiply the divisor thus obtained by the last digit of the root found ; subtract ïhe 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...
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Higher Arithmetic; Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - Arithmetic - 1855 - 436 pages
...divisor ; multiply the divisor thus completed by the figure last placed in the root ; mbtract ttie product from the dividend, and to the remainder bring down the next period for a new dividend. IV. Double the root already found for a new partial divisor, divide, <&c., as before, and thus continue...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1856 - 334 pages
...quotient figure ; then ndd these three results together for a subtrahend. 17. 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 all the periods are brought down.* 18. NOTE. When the...
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Part 2

Joseph Ray - Algebra - 1857 - 408 pages
...the right of the divisor. 4th. 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. 5th. Double the whole root already found for a new divisor, and continue the operation as before, until...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1857 - 608 pages
...right of the divisor. IV. Multiply the divisor thus obtained by the last digit of the root found ; subtract the 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...
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