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" The first and last terms of a proportion are called the extremes ; the second and third terms are called the means. In the proportion | = ££, we see that 7 x 15 = 3 x 35. "
Junior High School Mathematics: First [-third] Course - Page 154
by William Ledley Vosburgh, William Frederick Gentleman - 1919
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The elements of algebra. [With] Answers

Robert Fowler - 1861 - 426 pages
...each other as 2 days and 4 days, for the value of each ratio is J ; . • . ' 6 : 12 : : 2 : 4. Note. The first and last terms of a proportion are called the extremes ; the others are called the means. 135. From the above definitions several important properties of proportionals...
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Practical Arithmetic: Embracing the Science and Applications of Numbers

Charles Davies - Arithmetic - 1863 - 346 pages
...second term is less than the first, and the fourth term less than the third. 241. The first and fourth terms of a proportion are called the extremes : the second and third terms, the means. Thus, in .the proportion, 3 : 12 : : 6 : 24, 3 and 24 are the extremes, and 12 and 6 the...
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Arithmetic

Charles Elsee - Arithmetic - 1866 - 300 pages
...and 10 cwt. : 15 cwt. : : £6 : £9. It is usual to read a proportion thus, 6 is to S as ij is to 20. The first and last terms of a proportion are called the extremes, and the two middle terms are called the means. 67. — When four numbers are proportional, the product...
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Artithmetic theoretical and practical

William Harding Girdlestone - 1867 - 368 pages
...or 6:2 = 15:5; and since a ratio may be written as a fraction, the proportion may be written f = */. The first and last terms of a proportion are called the extremes, the two middle terms the means. While the two terms of a ratio, if they be not abstract numbers, must be...
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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, and 3 and 4 the means....
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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 the extremes, and the second and third terms, the means. Thus, in the proportion 3 : 6 : : 4 : 8, 3 and 8 are the...
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Elementary arithmetic. [With] Answers, Book 1

H T. Sortwell - 1873 - 176 pages
...Proportion is the equality of ratios. Simp1e Proportion is the equality of two ratios. The first and fourth terms of a proportion are called the extremes ; the second and third terms are called the means. Thus, in the example 7 : 4 : : 21 : 12, the numbers 7 and 12 are the extremes, and 4 and 21 are the...
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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 be a...
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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...
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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 the Extremes, and the second and third terms the Means. In any proportion the product of the means is equal to the...
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