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" It follows that any four numbers are proportionals, when the first divided by the second is equal to the third divided by the fourth. "
The Elements of Algebra Preliminary to the Differential Calculus: And Fit ... - Page 64
by Augustus De Morgan - 1837 - 248 pages
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Elements of algebra priliminary to the differential calculus ...

Augustus De Morgan - Algebra - 1837 - 256 pages
...— 3 > — 4, it does not follow that 3x— 3> — 2x— 4, or — 9>8, but the contrary — 9<8. But it is seldom necessary to deduce the algebraical...proportion in arithmetic, but the words quantity, divided by, and equal, have their extended signification. The words greater and less cannot always be applied...
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The first principles of algebra, for the use of the boys of the Royal ...

Admiralty - 1845
...when connected with this sign form what is called an equation. Thus x+y=a— b is an equation. 15. Four quantities are said to be proportional when the...second is equal to the third divided by the fourth. If a, b, c, d be the quantities, the proportion between them is expressed either by a: b : : c : d;...
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An introductory treatise on mensuration, in theory and practice

John Radford Young - 1850
...every proportion may be converted into an ••-, 'i, ••'/.- in other words, that the first term divided by the second, is equal to the third divided by the fourth ; for proportion is an equality of ratios; and ratio, in the arithmetical sense of the term, is quotient;...
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The Popular Educator, Volume 6

1855
...ratio of 49 : 9 ? PROFORTION. When four quantities are related to one another in luch a Banner that the first divided by the second is equal to the third divided by the fourth — in other words, when the ratio of the first to the second is equal to the ratio of the third to...
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Algebra for High Schools and Colleges: Containing a Systematic Exposition ...

James B. Dodd - Algebra - 1859 - 306 pages
...when the ratio of the first to the second is equal to the ratio of the third to the fourth ; that is, when the first divided by the second is equal to the third divided by the fourth. Thus the numbers 6, 3, 8, 4 are in proportion, since the ratio |- equals the ratio -|. And the quantities...
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The civil service arithmetic. [With] A key

Robert Johnston (F.R.G.S.) - 1863
...the numerator of the other, to its denominator. It follows that any four numbers are proportionals, when the first divided by the second is equal to the third divided by the fourth. They are not proportionals when this is not the case ; therefore, by this test, we can determine if...
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The civil service arithmetic. [With] A key

Robert Johnston (F.R.G.S.) - 1877
...of the other, to its denominator. It follows that any four numbers are proportionals, when the ftrst divided by the second is equal to the third divided by the fourth. They are not proportionals when this is not the ease ; therefore, by this test, we can determine if...
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The civil service arithmetic. [With] A key. [With] A key, Volume 1

Robert Johnston (F.R.G.S.) - 1879
...the numerator oí the other, to its denominator. It follows that any four numbers are proportionals, when the first divided by the second is equal to the third divided by the fourth. They are not proportionals when this is not the case ; therefore, by this test, we can determine if...
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The Elements of Algebra

George Lilley - Algebra - 1892 - 402 pages
...inequality. PROPORTION. 164. A Proportion is an equality of ratios. Four numbers lire in proportion, when the first divided by the second is equal to the third divided hy the fourth. fl С Thus, if т — j, then a, 6, c, d, are called proportionals, or are said to be...
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Higher Algebra

George P. Lilley - Algebra - 1894 - 504 pages
...inequality. PROPORTION. 164. A Proportion is au equality of ratios. Four numbers are in proportion, when the first divided by the second is equal to the third divided by the fourth. я с Thus, if т = -, , then а, Ъ, с, d, are called proportionals, or are said to be in proportion,...
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