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 100by George W. Lilley - 1892 - 402 pagesFull view - About this book
| 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... | |
| 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,... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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