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" Divide the first term of the remainder by three times the square of the root already found, and write the quotient for the next term of the root. "
The Elements of Algebra - Page 100
by George W. Lilley - 1892 - 402 pages
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Treatise on the elements of algebra

James Bryce - Algebra - 1837 - 322 pages
...cube root of the first term, and subtract its cube from the given quantity; 3* take the quotient of the first term of the remainder by three times the square of the part of the root already found, and set it down as the next term of the root: then, to the treble of...
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Elements of Algebra

Algebra - 1838 - 372 pages
...found the two first terms of R,form the cube of the binomial and subtract it from N ; after which, divide the first term of the remainder by three times the 'square of the first term of R : the quotient will be the third term of R. IV. Cube the three terms of the root found,...
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An Elementary Treatise on Algebra: Designed to Facilitate the Comprehension ...

Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...of the root, cube the root already found, subtract it from the power, and bring down the remainder ; divide the first term of the remainder by three times the square of the root already found, and the quotient will be the second term of the root. To get the third term of the root, complete the...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...found the first two terms of R, form the cube of this binomial and subtract it from N ; after which, divide the first term of the remainder by three times the square of the first term of R : the quotient will be the third term of R. IV. Cube the three terms of the root found,...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 376 pages
...some one letter, take the cube root of the first term, and subtract the cube from the given quantity. Divide the first term of the remainder by three times the square of the root already found, the quotient will be the second term of the root. Complele the divisor by adding to it three times...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...some one letter, take the cube root of the first term, and subtract the cube from the given quantity. Divide the first term of the remainder by three times the square of the root already found, the quotient will be the second term of the root. Complete the divisor by adding to it three times...
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - Algebra - 1849 - 348 pages
...first term of the root into another term. We may, therefore, iind another term of the root by dividing the first term of the remainder by three times the square of the first term of the root. See ยง 169. c.) If now we subtract from the given polynomial the cube of the...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - Algebra - 1852 - 348 pages
...; but 3a?b+3ab2+b a =(3a?-\-3ab+b2)b. It is therefore manifest, that b will be obtained by dividing the first term of the remainder by three times the square of a ; and, to complete the divisor, we must add to 3a 2 three times the product of the two terms, or...
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A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 356 pages
...one letter, take the cube root of the first term, and subtract the cube from the given polynomial. Divide the first term of the remainder by three times the square of the root already found, the quotient will be the second term of the root. Complete the divisor by adding to it three times...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...the root ; cube the part of the root found, and subtract the result from the given polynomial, and divide the first term of the remainder by three times the square of the ( first term of the root ; the quotient will be i the third term of the root ; cube the part of the...
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