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" One quantity is said to be a measure of another, when the former is contained in the latter any number of times, without a remainder. "
Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ... - Page 21
by Jeremiah Day, James Bates Thomson - 1848 - 252 pages
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A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ...

Francis Nichols - Plane trigonometry - 1811 - 162 pages
...magnitude of the former angle to the magnitude of the latter. And this is the proper meaning of a measure. One quantity is said to be a measure of another, when the measure in one case is to the measure in any other, as the magnitude of the quantity to be measured...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1814 - 304 pages
...is a multiple of 2 a, because the one contains the other just 5 times. 80-24 is a multiple of 6. 47. One quantity is said to be a measure of another, when...latter, any number of times, without a remainder. Thus 36 is a measure of 156: and 7 is a measure of 35. 48. The value of an expression, is the number or...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 352 pages
...number of times without a remainder. Thus 1 0 a is a multiple of 2 a ; and 24 is a multiple of 6. 47. One quantity is said to be a measure of. another,...times, without a remainder. Thus 3b is a measure of 1 5b : and 7 is a measure of 35. * For the notation of powtn and roots, see the eectians on these &ul,j*cts....
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...number of times without a remainder. Thus 10 a is a multiple of 2 a ; and 24 is a multiple of 6. 47. One quantity is said to be a measure of another, when...latter, any number of times, without a remainder. Thus 36 is a measure of 156: and 7 is a measure of 35. *For the notation of powers and roots, see the sections...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1831 - 358 pages
...certain number of times without a remainder. Thus 10a is a multiple of 2a; and 24 is a multiple of 6. 47. One quantity is said to be a measure of another, when...contained in the latter, any number of times, without a-remainder. Thus 36 is a measure of I5b; and 7 is a measure of 35. 48. The value of an expression,...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1832 - 360 pages
...certain number of times without a remainder. Thus 10a is a multiple of 2a; and 24 is a multiple of 6. 47. One quantity is said to be a measure of another, when...3b is a measure of 156; and 7 is a measure of 35. 48. The value of an expression, is the number or quantity, for which the expression stands. Thus the...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...when the former contains the latter a certain number of times without a remainder. One quantity is the measure of another when the former is contained in...the latter, any number of times without a remainder. A negative quantity is one Which is required to be subtracted. An axiom is a selfevident proposition....
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The mechanical Euclid, containing the elements of mechanics and hydrostatics

William Whewell - 1837 - 226 pages
...exactly : thus l6a is a multiple of 4a, as it contains it exactly four times. 17. A quantity is called a measure of another, when the former is contained in the latter a certain number of times exactly ; thus, 4a is a measure of 16«. 18. When two numbers have no common...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1841 - 362 pages
...certain number of times without a remainder. Thus 10a is a multiple of 2a; and 24 is a multiple of 6. 47. One quantity is said to be a measure of another, when...latter, any number of times, without a remainder. Tjhus 36 is a measure of 156; and 7 is a measure of 35. if. 48. The value of an expression, is the...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1844 - 272 pages
...expressed 1 What are like quantities 1 Unlike 1 What kind of quantities are 3o6 and tjab 1 aa and aaa 1 aa and aa ? xx and xxx ? 29. One quantity is said...latter any number of times, without a remainder. Thus 3A is a measure of 156 ; and 7 is a measure of 35. 31. The value of an expression, is the number or...
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