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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 29
av John Bonnycastle - 1837 - 282 sider
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A Treatise on Algebra, in Practice and Theory: With Notes and ..., Volum 1

John Bonnycastle - 1813 - 456 sider
...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 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 - 542 sider
...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 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 - 550 sider
...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 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 sider
...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...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 - 334 sider
...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...being integral as it ought to be, would necessarily Ы'соше fractional. a + x г2 And by a process similar to the above it may be shewn that a —...
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Bonnycastle's Introduction to Algebra: Containing the Indeterminate and ...

John Bonnycastle - 1851 - 288 sider
...necessary to continue the operation ; thus, 2y 4 as terminated, when the highest power of the letter, in the first or leading term of the remainder, by which...quotient, after this, instead of being integral, as ft ought to be, would necessarily become fractional. * Now, it is easy to perceive that the next or...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1859 - 422 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 - 360 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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The Normal Elementary Algebra: Containing the First Principles of the ...

Edward Brooks - 1888 - 190 sider
...dividend. HI. Regard the remainder as a new dividend and proceed aa before, and thus continue until the first term of the divisor is not contained in the first term of the dividend. NOTES. — 1. When the first term of the arranged dividend is not divisible by the first...
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Elements of Algebra: A Course for Grammar Schools and Beginners in Public ...

William James Milne - 1894 - 216 sider
...dividend. Divide the new dividend as before, and continue to divide until there is no remainder, or until the first term of the divisor is not contained in the first term of the dividend. ELEMENTS OF ALGEBRA. If there is a remainder after the last division, write it over the divisor...
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