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" The greatest common measure of two quantities is not altered, by multiplying or dividing either of them, by any quantity which is not a divisor of the other, and which contains no factor which is a divisor of the other. The common measure of ab and ac... "
A Treatise on Algebra: In Practice and Theory, ... with Notes and ... - Page 11
by John Bonnycastle - 1813
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1818 - 284 pages
...measure of two quantities, either of them may be multiplied, or divided, by any quantity, which is noi a divisor of the other, or that contains no factor •which is common to them both, without in any respect changing the result. It may here, also, be farther added, that the common measure,...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1820 - 352 pages
...dividend, in conformity with the following principle ; The greatest common measure of two quantities is not altered, by multiplying or dividing either of them,...any quantity which is not a divisor of the other, and which contains no factor which is a divisor of the other. The common measure of ab and ac is a....
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 pages
...137. It may also be shown, that the greatest common measure of two quantities will, in no respect, be altered, by multiplying or dividing either of them...other, or that contains no factor which is common to both of them ; thus, let the quantities ab and ac be taken, of which the common measure is a; then,...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - 1824 - 550 pages
...137. It may also be shown, that the greatest common measure of. two quantities will, in no respect, be altered, by multiplying or dividing either of them...other, or that contains no factor which is common to both of them ; thus, let the quantities oh be taken, of which the common measure is a ; then, if ab...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - 1825 - 336 pages
...finding the greatest common measure of two quantities, either of them may be multiplied, or divided, by any quantity, which is not a divisor of the other,...that contains no factor which is common to them both, without iu any respect chang'ng the result. It may here, also, be farther added, that the common measure,...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 pages
...dividend, in conformity with the following principle; The greatest common measure of two quantities is not altered, by multiplying or dividing either of them,...any quantity which is not a divisor of the other, and which contains no factor which is a divisor of the other. The common measure of ab and ac is a....
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An Introduction to Algebra, with Notes and Observations: Designed for the ...

John Bonnycastle - 1829 - 372 pages
...finding the greatest common measure of two quantities, either of therr may be multiplied, or divided, by any quantity, which is not a divisor of the other,...that contains no factor which is common to them both, without h; any respect changing the result. It may here also k< farther added, that the common measure,...
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An introduction to algebra. To which is added an appendix containing a ...

John Bonnycastle - 1836 - 296 pages
...quantities, either of them may be multiplied, or divided, by any number or quantity, which is not a divisur of the other, or that contains no factor, which is common to them both, without, in any respect, changing the result. It may here, also, be forther added, that the common...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1839 - 354 pages
...dividend, in conformity with the following principle; The greatest common measure of two quantities is not altered, by multiplying or dividing either of them by any quantity which is not a divisor of Ike other, and which contains no factor which is a divisor of the other. ab and acd, is still a. On...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1841 - 354 pages
...; The greatest . comnion measure of two quantities is not altered, by multiplying or dividing nther of them by any quantity which is not a divisor of the otJter, and which contains no factor which is a divisor of the other. The common measure of ab and...
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