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" The first and fourth terms of a proportion are called the extremes, and the second and third terms the means. "
The Elements of Geometry - Page 120
by Webster Wells - 1894 - 378 pages
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Rational Grammar School Arithmetic

George William Myers, Sarah Catherine Brooks - Arithmetic - 1903 - 424 pages
...curve. 196. The first, second, third, and fourth numbers of a proportion are PAGE The first and the fourth terms of a proportion are called the extremes and the second and the third terms, the means. The first two terms of a proportion are together called the first couplet;...
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Ray's Modern Practical Arithmetic: A Revised Edition of Ray's Practical ...

Joseph Ray - Arithmetic - 1903 - 366 pages
...[ :: ' > is a compound proportion. o : 4 ) D • o J 221. Every proportion consists of four terms. The first and fourth terms of a proportion are called the extremes. The second and third terms of a proportion are called the means. The last term is said to be a fourth...
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Arithmetic, Mensuration and Use of Letters in Formulas, Principles of ...

International Correspondence Schools - Arithmetic - 1904 - 656 pages
...ratio of the first term to the second term equals the ratio of the third term to the fourth term. 65. The first and fourth terms of a proportion are called the extremes, and the second and third terms the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means....
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New Commercial Arithmetic

John Henry Moore - Business mathematics - 1904 - 404 pages
...ratios. It is indicated by placing the sign of equality =, or a double colon :: between the ratios. 950. The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. 951. The test of proportion is that the two integers or fractions representing the...
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Grammar School Algebra

Arthur William Potter - Algebra - 1904 - 182 pages
...Why ? In a proportion the first and last terms are called the extremes ; the second and third terms, the means. The first and third terms are called the antecedents ; and the second and fourth terms, the consequents. Ratio is generally expressed in the form of a fraction. Hence a proportion...
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Elementary Algebra

John Henry Tanner - Algebra - 1904 - 398 pages
..." 6 is to 3 as 10 is to 5 " ; its meaning is the same as 6 : 3 = 10 : 5, ie, the same as a = ¥• The first and fourth terms of a proportion are called the extremes, while the second and third terms are called the means, and the fourth term is called the fourth proportional...
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Elementary Algebra

Walter Randall Marsh - Algebra - 1905 - 446 pages
...antecedents and consequents of the ratios are called the antecedents and consequents of the proportion. The first and fourth terms of a proportion are called the extremes and the second and third terms are called the means. The terms of a proportion are said to be proportional. The fourth term...
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Advanced Arithmetic

Elmer Adelbert Lyman - Arithmetic - 1905 - 268 pages
...' Ol K 1 CC Check by putting 2 j for x, then ±t.»|, or ±f== 2. o 7 2iL 7 226. The first and last terms of a proportion are called the extremes, and the second and third terms the means. 227. In any proportion the product of the means is equal to the product of the extremes....
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Arithmetic: Elements of Algebra. Logarithms. Geometrical Drawing

International Correspondence Schools - Arithmetic - 1906 - 576 pages
...ratio of the first term to the second term equals the ratio of the third term to the fourth term. 135. The first and fourth terms of a proportion are called the extremes, and the second and third terms, the meaiis. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the...
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School Arithmetic: Practical Book

John Marvin Colaw, Frank Williamson Duke - Arithmetic - 1906 - 408 pages
...equations (Art. 345) and to fractions apply also to proportions. 435. The first and fourth numbers of a proportion are called the extremes, and the second and third the means. Name the extremes and the means in the proportion 436. I. Consider the proportion 3 : 8 = 15 : 40....
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