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" In a proportion the antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion. The first and fourth terms are called the extremes, and the second and third the means. "
The Handbook of Industrial Oil Engineering: A Reference Book of Data ... - Page 9
by John Rome Battle - 1920 - 1131 pages
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...number 8 is also called an antecedent, and the number 10, with which it is compared, a consequent. The first and fourth terms are called the extremes ; and the second and third terms, the means. Let a, b, c, and d, denote four quantities in arithmetical proportion ; and d the difference...
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The Western Practical Arithmetic ...: Containing a Great Variety of ...

Arithmetic - 1851 - 260 pages
...first is called the ANTECEDENT, and the second the CONSEQUENT. In any series of four proportionals, the first and fourth terms are called the EXTREMES, and the second and third the MEANS. The product of the Means, equals the product of the Extremes. Thus in either series above,...
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Stoddard's Practical Arithmetic

John Fair Stoddard - Arithmetic - 1852 - 320 pages
...Antecedent, and the second term is called the Consequent. The first and fourth terms of a proportion are called the Extremes, and the second and third terms are called the Means. Since, in a proportion, the quotient obtained by dividing the first term by the second, is equal to...
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A Practical and Theoretical Arithmetic: Designed for the Use of Schools and ...

Charles D. Lawrence - Arithmetic - 1854 - 336 pages
...equality, and this sign is sometimes used in their stead. 6. The first and fourth terms of a proportion are called the extremes, and the second and third terms are called the means. 96, From the foregoing definitions several consequences may be drawn, among which are the following...
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The American Philosophical Arithmetic: Designed for the Use of Advanced ...

John Fair Stoddard - Arithmetic - 1856 - 312 pages
...Antecedent, and the second term is called the Consequent. The first and fourth terms of a proportion are called the Extremes, and the second and third terms are called the Means. Siuce, in a proportion, the quotient obtained by dividing the second term by the first, is equal to...
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Primary Elements of Plane and Solid Geometry: For Schools and Academies

Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...E, are the antecedents, and B, D, F, the consequents. (55) 56 GEOMETKY . If four magnitudes are in proportion, the first and fourth terms are called the extremes, and the second and third the means. In this case the last term is .called & fourth proportional to the three others. If the...
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Loftus's Inland Revenue Officers' Manual ...

William Harris Johnston - 1865 - 478 pages
...a ratio, is an antecedent and the denominator, its consequent. Of the four numbers which constitute a proportion, the first and fourth terms are called the extremes, and the second and third, the means, that is, the first antecedent and second consequent are the extremes ; the first consequent...
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The Constructive arithmetic

James A. Christie - 1865 - 454 pages
...: 12- :: 14- : 21As 14- : 21- :: 8- : 12As 8- : 12- :: 14- : 21When four Numbers are Proportionals, the first and fourth terms are called the Extremes, and the second and third are called the Means. METHOD OF FINDING ANY TERM OF A PROPORTION. In each of the following Proportions...
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Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

William Frothingham Bradbury - Algebra - 1868 - 264 pages
...antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion. The first and fourth terms are called the extremes, and the second and third the means. 197. When three quantities are in proportion, eg a : b = b : c, the second is called a mean...
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An Elementary Geometry

William Frothingham Bradbury - Geometry - 1872 - 124 pages
...antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion. The first and fourth terms are called the extremes, and the second and third the means. 6. When three quantities are in proportion, eg a : b = b : c, the second is called a mean...
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