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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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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...term is said to be a fourth proportional to the other 3 in their order. Ratio is the relation between two numbers shown by their quotient: proportion is...
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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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Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - Conic sections - 1876 - 412 pages
...ratio is called the second couplet ; thus, a : b is the first, c : d, the second couplet. The fourth term is said to be a fourth proportional to the other three; thus, d is a fourth proportional to a, b, and c. If the second term is equal to the third term, either...
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Ray's New Practical Arithmetic: A Rev. Ed. of the Practical Arithmetic

Joseph Ray - Arithmetic - 1877 - 402 pages
...proportion are called the extremes. 8. The second and third terms of a proportion are called the means. 9. The last term is said to be a fourth proportional to the other three taken in order. Thus, in the proportion 2 : 4 : : 3 : 6, the extremes are 2 and 6; the means are 4...
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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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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...third; and the third is a third proportional to the first and second. 8. In a proportion the fourth term is said to be a fourth proportional to the other three taken in order. 9. Quantities are in proportion alternately, when antecedent is compared with antecedent,...
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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 the extremes, and the second and third terms the means. Thus, in the proportion a : b : : c : d, a and d are the...
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The Collegiate Algebra: Adapted to Colleges and Universities

James Bates Thomson, Elihu Thayer Quimby - Algebra - 1880 - 360 pages
...division. 360. The First Term of a ratio is called the Antecedent ; the Second Term the Consequent. 361. The First and Last Terms of a proportion are called the Extremes; the Second and Third the Means. 362. When the same quantity is used for both means, it is called a Mean...
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The engineers' manual of the Local marine examinations

Thomas Liddell Ainsley - 1880 - 866 pages
...proportion may be written f- = Y) au( l is read—6 divided by 2 is equal to i 5 divided by 5. 190. The first and last terms of a proportion are called the Extremes, the two middle terms the Mean». While the two terms of a ratio, if they be not abstract numbers, must...
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A Practical Arithmetic

George Albert Wentworth, Thomas Hill - Arithmetic - 1881 - 446 pages
...15 : 9 (read 5 to 3 = 15 to 9), may be written 5 : 3 : : 15 : 9 (read 5 is to 3 as 15 is to 9). 334. The first and last terms of a proportion are called the extremes, and the two middle terms are called the means. 335. Test of a proportion. When four numbers are proportionals,...
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