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" The first and fourth terms of a proportion are called the extremes; and the second and third terms the means. Thus, in the • proportion a : b = с : d, a and d are the extremes, and b and с the means. "
First Year Algebra - Page 286
by William James Milne - 1911
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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 between...
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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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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...proportion. ART. 264. Each of the four quantities in a proportion is called a term. The first and last terms are called the extremes ; and the second and third terms, the means. The terms of a proportion may be either monomials or polynomials. quents (Art. 257) ; and the last...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 340 pages
...The quantities which are compared together are called tne terms of the proportion. The f1rst and last terms are called the extremes, and the second and third terms, the means. Thus, A and D are the extremes, and B aud G the means. 3. Of four proportional quantities, the first...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1855 - 340 pages
...DThe quantities which are compared together are called the terms of the proportion- The first and last terms are called the extremes, and the second and third terms, the meansThus, A and D are the extremes, and B and C the means3 Of four proportional quantities, the first...
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Part 2

Joseph Ray - Algebra - 1857 - 408 pages
...proportion. ART. 36<1. Each of the four quantities in a proportion is called a term. The first and last terms are called the extremes ; and the second and third terms, the means. . The terms of a proportion may be either monomials or polynomials. ART. 205. Of four quant'ties in...
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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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Elements of Geometry and Trigonometry

C. Davies - 1867 - 342 pages
...DThe quantities which are compared together are called the terms of the proportion- The first and last terms are called the extremes, and the second and third terms, the meansThus, A and D are the extremes, and B and C the means3 Of four propoitional quantities, the first...
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