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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... "
Bonnycastle's Introduction to Algebra: Containing the Indeterminate and ... - Seite 29
von John Bonnycastle - 1851 - 288 Seiten
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A Treatise on Algebra, in Practice and Theory: With Notes and ..., Band 1

John Bonnycastle - 1813 - 456 Seiten
...+ 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....
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1818 - 284 Seiten
...—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...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - 1824 - 550 Seiten
...— 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...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 Seiten
...• "•"*:***. • 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...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - 1825 - 336 Seiten
...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,...
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An Introduction to Algebra, with Notes and Observations: Designed for the ...

John Bonnycastle - 1829 - 372 Seiten
...*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,...
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An Introduction to Algebra: With Notes and Observations; Designed for the ...

John Bonnycastle - 1834 - 330 Seiten
...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...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1837 - 296 Seiten
...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...
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The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848 - 334 Seiten
...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...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1852 - 348 Seiten
...—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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