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" 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. "
An elementary course of practical mathematics - Page 39
by James Elliot - 1850
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An Academic Arithmetic for Academies, High and Commercial Schools

Webster Wells - Arithmetic - 1893 - 360 pages
...of 6 to 10 forms a proportion, which may be written in the forms 3:5 = 6:10, f = ^ or3:5::6:10. 265. The first and fourth terms of a proportion are called the extremes, and the second and third terms the means. Thus, in the proportion 3 : 5 = 6 :10, 3 and 10 are the extremes, and 5 and 6 the...
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Graded Lessons in Number, Part 2

Wm. M. Peck - 1894 - 310 pages
...ratios is expressed, 4 : 8=50 : 100, or 4 : 8 : : 50 : 100 ; and is read, " 4 is to 8 as 50 is to 100." The first and fourth terms of a proportion are called the Extremes. The second and third terms of a proportion are called the Means. b. The product of the means is equal...
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Teachers' Manual for Teachers Using Arithmetic by Grades

John Tilden Prince - Arithmetic - 1894 - 254 pages
...the terms are smaller, but the ratio remains unchanged. 86 A proportion is the equality of ratios. The first and fourth terms of a proportion are called the extremes. The second and third terms are called the means. From observation the pupils will discover and state...
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Geometry for Grammar Schools

Ephraim Hunt - Geometry - 1894 - 118 pages
...form of a proportion, in every possible way, testing the correctness of each form. How many forms? The first and fourth terms of a proportion are called the extremes; the second and third, the means. If we have 5 :10 :: 6 : , how do you find the fourth term? What is...
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A School Algebra: Designed for Use in High Schools and Academies

Emerson Elbridge White - Algebra - 1896 - 418 pages
...consists of four terms, the first and third being antecedents, and the second and fourth, consequents. The first and fourth terms of a proportion are called...the extremes; and the second and third, the means. Thus, in a : b : : с : d, a and d are the extremes ; and 6 and c, the means. 519. Four numbers are...
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The Werner Arithmetic, Oral and Written, Book Two, Parts I and II, Book 2

Frank H. Hall - Arithmetic - 1896 - 296 pages
...couplets; thus, 2 : 6 = 5 : 15. This may be read, The ratio of 2 to 6 equals the ratio of 5 to 15. The first and fourth terms of a proportion are called the extremes, and the second and third terms the means. In every true proportion, the product of the means equals the product of the extremes....
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Plane Geometry

George D. Pettee - Geometry, Modern - 1896 - 272 pages
...proportion may be written in either of the following forms: a: b = c : d, or a:b::c:d, or - = — bd 184. The first and fourth terms of a proportion are called the extremes, and the second and third terms the means. The first and third terms are called the antecedents, and the second and fourth terms...
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The Werner Arithmetic: Oral and Written, Volume 2

Frank H. Hall - Arithmetic - 1896 - 296 pages
...couplets; thus, 2 : 6 = 5 : 15. This may be read, The ratio of 2 to 6 equals the ratio of 5 to 15. The first and fourth terms of a proportion are called the extremes> aad the second and third terms the means. In every true proportion, the product of the means equals...
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The Elements of Mechanical Engineering, Volume 1

Electrical engineering - 1897 - 672 pages
...ratio of the first term to the second term equals the ratio of the third term to the fourth term. 316. 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 G are the means....
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An Elementary Treatise on Electric Power and Lighting: Arithmetic ...

International Correspondence Schools - Electrical engineering - 1897 - 346 pages
...ratio of the first term to the second term equals the ratio of the third term to the fourth term. 306. 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 0 are the means....
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