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" If there is a remainder after the last division, write it over the divisor in the form of a fraction, and annex it with its proper sign to the part of the quotient previously obtained. "
An Introduction to Algebra, with Notes and Observations: Designed for the ... - Side 25
av John Bonnycastle - 1829 - 312 sider
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A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - 1813
...of a fraction : thus (I), 3 х*(а* — ao? + x* a -ja3 + ах" — — (/) In the case here given, the operation of division may be considered as terminated,...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 Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 516 sider
...quotient af-6 ; and the complete quotient is «+6 + — r~, — a'+b2. 96. It is necessary to remark, that the operation of division may be considered as terminated,...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 - 1824 - 516 sider
...complete quotient is a--- * *" aa+b*. t # ' .» . • "•"*:***. • 96. It is necessary to remark, that the operation of division may be considered as terminated,...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 - 312 sider
...a+x}a3—x3(a*—ax-{-xa — ^— a3+a*x —a2x—x3 — aax — ax* ax3 — x3 —2*3 * In the case here given, the operation of division may be considered as terminated,...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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The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848
...the rest, without its being necessary to continue the operation : Thus, • * In the case here given, the operation of division may be considered as terminated,...is not contained in the first term of the remainder ; as the succeeding part of the quotient, after this, instead of being integral as it ought to be,...
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BONNYCASTLE'S INTRODUCTION TO ALGEBRA; CONTAINING THE INDETERMINATE AND ...

JAMES RYAN - 1851
...sufficient to indicate the rest, without its being necessary to continue the operation ; thus, 2y 4 as terminated, when the highest power of the letter,...not contained in the first term of the remainder; as the succeeding part of the quotient, after this, instead of being integral, as ft ought to be, would...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1852 - 336 sider
...Divide a 3 —x 3 by a-\-x. afx)a 3 —z 3 (a 2 —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,...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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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1856 - 360 sider
...•a5+a*z — a>x— a? — a'x — aa? 94 1 The operation of division may be considered as ter minated 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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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1859 - 404 sider
...be multiplied by a factor, which does not contain a measure of the divisor. This may be necessary, when the first term of the divisor is not contained in the first term of the dividend. Ex. 1. Find the greatest common measure of 6'aa + llax+3x3, and 6 6a3 +7ax—3x3)6a3 +1 lax+3x3...
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The Inductive Algebra: Embracing a Complete Course for Schools and Academies

William James Milne - 1881 - 347 sider
...to form a new dividend. Divide the new dividend as before, and continue to divide in this way until the first term of the divisor is not contained in the first term of the dividend. If there be a remainder after the last division, write it over the divisor in the form of...
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