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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. "
Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic - Page 178
by Joseph Ray - 1880 - 408 pages
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...13. One antecedent is said to be to ils consequent, as another antecedent to ils consequent. • 14. The first and last terms of a proportion are called the extremes, and the intermediate ones, the means. 15. A ratio is direct, if it follows the order of the terms compared...
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Arithmetic Modernised: Or, A Complete System of Arithmetic, Adapted to ...

John Davidson, Robert Scott (writing master) - Arithmetic - 1818 - 190 pages
...the fourth'. Proportionals are written thus, 6 : 2 : ; 9 : 3 ; and read thus, 6 is to 2 as 9 to 8. The first and last terms of a proportion are called the Extremes, and the middle terms, the Means : and when four numbers are proportional, " the product of the extremes...
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Elements of Arithmetic

Etienne Bézout - Mathematics - 1824 - 238 pages
...(arithmetically) 12 is to 14 ; and in a geometrical proportion, 3 is to 15 as (geometrically) 4 is to 20. 173. The first and last terms of a proportion are called the extremes ; the second and third, or two middle te> ins, are called the means. . As theje are tw.o ratios, and consequently...
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The Practical Arithmetic: In which the Principles of Operating by Numbers ...

Arithmetic - 1829 - 196 pages
...read, the ratio of 4 to 6 equals the ratio of 10 to 15 ; or more concisely, its to 6 OB 10 to 15. 168. The FIRST and LAST terms of a proportion are called the EXTREMES, and the two middle terms the MEANS. 169. In a proportion there are TWO RATIOS, and conse-. quently...
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The Teacher's Manual: Being an Exposition of an Efficient and Economical ...

Thomas H. Palmer - Education - 1840 - 328 pages
...proportions, the two ratios in each being equal ; those in No. 1 being 2, those in No. 2, J, (one third.) The first and last terms of a proportion are called the extremes ; the two middle terms, the means. It is evident, from the mere inspection of any proportion, that the antecedent...
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Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 362 pages
...What is the last term called in such acase? What is the difference between proportion and ratio * 321* 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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Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 354 pages
...the last term called in such a case ? What is the difference between proportion and ratio ! 32 1 . The first and last terms of a proportion are called the extremes ; the other two, the means. Oas. Homologous terms are either the two antecedents, or the two consequents....
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Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 402 pages
...is the last term called in such a case ? What is the difference between proportion and ratio ? 331. The first and last terms of a proportion are called the extremes ; the other two, the means. Oss. Homologous terms are either the two antecedents, or the two consequents....
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 426 pages
...the other hand, cannot be greater or kss thun 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. Ons. Htmwlngims terms are either the two antecedents, or the two consequents....
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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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