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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 • proportion a : b = с : d, a and d are the extremes, and b and с the means. "
A Complete Course in Algebra for Academies and High Schools - Page 253
by Webster Wells - 1885 - 349 pages
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An Arithmetic for Preparatory Schools, High Schools, and Academies

Charles Austin Hobbs - Arithmetic - 1889 - 366 pages
...: 6 = 10 : 15 is read the ratio of 4 to 6 equals the ratio of 10 to 15. The first and fourth tarnis of a proportion are called the extremes, and the second and third terms are called the means. Three numbers are said to be in proportion when the ratio of the first to the...
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College Algebra

Webster Wells - Algebra - 1890 - 560 pages
...the second term the consequent. Thus, in the ratio a:b, a is the antecedent, and b is the consequent. The first and fourth terms of a proportion are called...third terms the means. Thus, in the proportion a : b = c : d, a and d are the extremes, and b and c the means. 379. In a proportion in which the means are...
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College Algebra

Webster Wells - Algebra - 1890 - 604 pages
...second term the consequent. Thus, in the ratio a : b, a is the antecedent, and b is the consequent. The first and fourth terms of a proportion are called...and third terms the means. Thus, in the proportion о : b = с : d, a and d are the extremes, and b and с the means. 379. In a proportion in which the...
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High School Algebra: Embracing a Complete Course for High Schools and Academies

William James Milne - Algebra - 1892 - 370 pages
...the consequents. 305. The Extremes of a proportion are the first and fourth terms of the proportion. Thus, in the proportion a : b : : с : d, a and d are the extremes. 306. The Means of a proportion are the second and third terms of the proportion. Thus, in the proportion...
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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...and third terms the means. Thus, in the proportion 3 : 5 = 6 :10, 3 and 10 are the extremes, and 5 and 6 the means. 266. In a proportion in which the...
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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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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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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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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...extremes, and the second and third terms the means. The first and third terms are called the antecedents, and the second and fourth terms the consequents....
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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...extremes, and the second and third terms the means. In every true proportion, the product of the means equals the product of the extremes. NOTE.— In...
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