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Books Books 1 - 10 of 12 on Then, f=|&, becomes, 5 : 7 : : 20 : 28, the numerator of one is, to its denominator,....  
" Then, f=|&, becomes, 5 : 7 : : 20 : 28, the numerator of one is, to its denominator, as 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... "
Elements of algebra priliminary to the differential calculus ... - Page 64
by Augustus De Morgan - 1837 - 256 pages
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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 - 1894
...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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Introduction to Theoretical Linguistics

John Lyons - Language Arts & Disciplines - 1968 - 519 pages
...called an 'analogy': cf. 1.2.3) of tne general form a:b::c:d where the first of the four expressions divided by the second is equal to the third divided by the fourth, we can factorize the proportion into what for the present purpose we may call its 'components'; and...
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