 | John Bonnycastle - Algebra - 1813 - 456 pages
...+ x* a -ja3 + ах" — — (/) In the case here given, the operation of division may be considered as terminated, when the highest power of the letter,...by which the process is regulated, is less than the first term of the divisor; as the remaining part of the quotient, after this, would become fractional.... | |
 | John Bonnycastle - Algebra - 1818 - 284 pages
...—a*x — ux* ax' — x3 -2x3 (f) In the case here given, the operation of division may be considered as terminated, when the highest power of the letter,...quotient, after this, instead of being integral, as it ought to be, would necessarily become fractional. 2. The division of quantities may also be sometimes... | |
 | James Ryan - Algebra - 1824 - 550 pages
...— r~, — a'+b2. 96. It is necessary to remark, that the operation of division may be considered as terminated, when the highest power of the letter,...by which the process is regulated, is less than the first term of the divisor ; as the succeeding part of the quotient, after this, would necessarily become... | |
 | James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...• "•"*:***. • 96. It is necessary to remark, that the operation of division may be considered as terminated, when the highest power of the letter,...by which the process is regulated, is less than the first term of the divisor ; as the succeeding part of the quotient, after this, would necessarily become... | |
 | John Bonnycastle - Algebra - 1825 - 336 pages
...aax — ax* ax3 — x3 —2*3 * In the case here given, the operation of division may be considered as terminated, when the highest power of the letter,...divisor ; or when the first term of the divisor is net contained in the first term of the remainder; as the succeeding part of the quotient, after this,... | |
 | John Bonnycastle - Algebra - 1829 - 372 pages
...*V -ax+x*- ~ a+x — a'x—x3 * In the case here giren, the operation of division may be considered as terminated, when the highest power of the letter,...is not contained in the first term of the remainder ; ai the succeeding part of the quotient, after this, instead of being integral, as it ought to be,... | |
 | John Bonnycastle - Algebra - 1834 - 330 pages
...the form of a fraction ; thus,* * In the case here given, the operation of division may be considered as terminated, when the highest power of the letter,...succeeding part of the quotient, after this, instead of beLig integral, a* it ought to be, would necessarily become fractional. 2. The division of quantities... | |
 | John Bonnycastle - Algebra - 1837 - 296 pages
...necessary to continue the operation ; thus, afa as terminated, when the highest power of the letter, m the first or leading term of the remainder, by which...quotient, after this, instead of being integral, as it ought to be, would necessarily become fractional. * Now, it is easy to perceive that the next or... | |
 | John Bonnycastle - 1848 - 334 pages
...continue the operation : Thus, • * In the case here given, the operation of division may be considered as terminated, when the highest power of the letter,...quotient, after this, instead of being integral as it ought to be, would necessarily Ы'соше fractional. a + x г2 And by a process similar to the... | |
 | Benjamin Greenleaf - Algebra - 1852 - 348 pages
...—ax-Ja; 2 ; —. 2i 3 a 3 —a 2 * a?x—x 3 a-\-x 94. The operation of division may be considered as terminated, when the highest power of the letter, in the first or leading term of the remainder is less than the first term of the divisor. The division of quantities may also be sometimes carried... | |
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In the case here given, the operation of division may be considered as terminated, when the highest power of the letter, in the first, or leading term of the remainder, by which the process is regulated, is less than the... 
