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" The first and last terms of a proportion are called the extremes, and the two middle terms are called the means. "
Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... - Page 129
by Sir John Leslie - 1820 - 465 pages
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Higher Arithmetic; Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - Arithmetic - 1848 - 434 pages
...the other hand, cannot be greater or less than another ; for equality does not admit of degrees. 495* The first and last terms of a proportion are called the extremes ; the other two, the means. OBS. Homologous terms are either the two antecedents, or the two consequent*....
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An Introduction to Algebra, and to the Solution of Numerical Equations

John Radford Young - 1851 - 266 pages
...first term, in the expression for a ratio, is called the antecedent, the other the consequent; and the first and last terms of a proportion are called the extremes; the two intermediate ones the moans: thus, in the proportion above, a and c are the antecedents of...
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A Treatise on Arithmetic ...

Noble Heath - 1855 - 468 pages
...are in proportion. When this cannot be said, they are not in proportion, the ratios being unequal. The first and last terms of a proportion are called the extremes, and the two middle terms the means.* 403. Let a : b : : c : rfbe any proportion whatever; then as Qi C —...
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Higher Arithmetic : Or, The Science and Application of Numbers: Combining ...

James Bates Thomson - Arithmetic - 1860 - 440 pages
...the other hand, cannot be greater or less than another ; for equality does not admit of degrees. 495. The first and last terms of a proportion are called the extremes ; the other two, the means. OBS. Homologous terms are either the two antecedents, or the two consequents....
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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...
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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 of the...
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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...
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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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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 extremes,...
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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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