| 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.... | |
| 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... | |
| 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... | |
| 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,... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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