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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. "
Progressive Arithmetic: Third Book - Page 290
by William James Milne - 1906 - 366 pages
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Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

William Frothingham Bradbury - Algebra - 1868 - 270 pages
...equals c to d, or a is to b as c is to d, or a divided by b equals c divided by d. The first and fourth terms of a proportion are called the extremes, and the second and third the means. 106. In a proportion the product of the means is equal to the product of the extremes. Let...
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Practical Arithmetic, by Induction and Analysis

Joseph Ray - Arithmetic - 1857 - 358 pages
...proportion of 3 to 4. A ratio subsists between two quantities; a proportion only between four. ART. 199. The first and last terms of a proportion are called the extremes; the second and third, the means. Thus, in the proportion 2 : 3 : : 4 : 6, 2 and 6 are the extremes,...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1870 - 392 pages
...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 means. Thus, A and D are the extremes, and В and G the means. 3. Of four proportional quantities, the first...
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Common School Arithmetic on the Analytic System: With an Appendix of the ...

Shelton Palmer Sanford - Arithmetic - 1872 - 404 pages
...is to 4 ; or it may be read thus : the ratio of 15 to 5 is equal to the ratio of 12 to 4. ART. 287. The first and last terms of a proportion are called...extremes, and the second and third terms, the means. Thus, in the proportion 3 : 6 : : 4 : 8, 3 and 8 are the extremes, and 6 and 4 the means. AKT. 288....
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Elements of Algebra

Charles Elsee - 1873 - 320 pages
...u : 6 = c : d, or (as it is more commonly written) o : 6 : : c ; rf, a, b, c, d are proportionals. The first and last terms of a proportion are called the extremes, and the two middle terms the means. PROP. In a proportion between numbers, the product of the extremes is equal...
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The Principles of Arithmetic ...

Joseph Ray - 1856 - 400 pages
...and two consequents, the 1st and 3d terms being the antecedents, and the 2d and 4th the consequents. The first and last terms of a proportion are called the extremes; the -middle terms, the means. All the terms are called proportionals, and the last term is said to...
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Written Arithmetic

George Augustus Walton - 1876 - 358 pages
...is, 2 is the same part of 3 that 4 is of 6. 2 is § of 3, and 4 is § of 6. 367. The first and fourth terms of a proportion are called the extremes, and the second and third are called the means. The first ratio :; called the first couplet, and the second ratio the second...
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The New American Arithmetic, Part 3

Samuel Mecutchen, George Mornton Sayre - Arithmetic - 1877 - 200 pages
...proportion may be read, 4 is to 8 as 12 is to 24, or, the ratio of 4 to 8 is equal to the ratio of 12 to 24. The first and last terms of a proportion are called...Extremes, and the second and third terms the Means. In any proportion the product of the means is equal to the product of the extremes. Thus, in the proportion...
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Bradbury's Elementary Algebra

William Frothingham Bradbury - Algebra - 1877 - 302 pages
...equals c to d, or a is to b as c is to d, or a divided by b equals c divided by d. The first and fourth terms of a proportion are called the extremes, and the second and third the means. 106. In a proportion the product of the means is equal to the product of the extremes. Let...
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New Elementary Algebra: Designed for Common and High Schools and Academies

Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...first and third terms, therefore, are antecedent's, and the second and fourth are consequents. 243. The first and last terms of a proportion are called...extremes, and the second and third terms the means. Thus, in the proportion a : b : : c : d, a and d are the extremes, and b and c are the means ; a and...
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