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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. "
First Year Algebra - Page 286
by William James Milne - 1911
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The Student's Reference Work: A Cyclopaedia for Teachers, Students ..., Volume 2

Chandler Belden Beach, Graeme Mercer Adam - Encyclopedias and dictionaries - 1901 - 892 pages
...both of its ratios compound, as 34) 2:3 J : i :: 2, ff Three terms must be given to find the fourth. The first and fourth terms are called the extremes, and the second and third are the means. Law. — The product of the means equals the product of the extremes. Rule.— Write...
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A Textbook of Electric Lighting and Railways, Volume 1

International Correspondence Schools - Electric lighting - 1901 - 630 pages
...equals the ratio of the third term to the fourth term. 51. 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. 52. A direct...
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Arithmetic Without a Pencil

Edith M. Joy - Mental arithmetic - 1902 - 216 pages
...be 4 and 12. What is the order of the numbers in the second ratio ? and fourth terms, respectively. The first and fourth terms are called the extremes ; and the second and third are called the means. The product of the means always equals the product of the extremes; 15 : 3 :...
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A Textbook on Metallurgy of Gold, Silver, Copper, Lead, and Zinc, Volume 1

International Correspondence Schools - Arithmetic - 1902 - 794 pages
...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 6 are the means. 317. A direct...
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A Textbook on Steam Engineering, Volume 1

Engineering - 1902 - 514 pages
...equals the ratio of the third term to the fourth term. 51. 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. 52. A direct...
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Mathematics

American School (Chicago, Ill.) - Engineering - 1903 - 426 pages
...antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion. The first and fourth terms are called the extremes, and the second and third the means. 6. When three quantities are in proportion, eg a:b = b:c, the second is called a mean proportional...
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The Werner Arithmetic: Oral and Written. Book III--parts I and II

Frank H. Hall - Arithmetic - 1903 - 398 pages
...MISSING TERM OF A PROPORTION WITHOUT FINDING THE RATIO. The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means; thus, in the proportion 12 : 6 = 8 : 4, 12 and 4 are the extremes, and 6 and 8 are the means. Observe...
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A First Book of Algebra

John William Hopkins - 1904 - 276 pages
...compared with 3 as 6 is compared with 9. The above proportion may also be written f = -§ • 107. In a proportion the first and fourth terms are called the extremes and the second and third terms are called the means of the proportion. 108. Two quantities are directly proportional, or vary directly,...
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Advanced Course in Algebra

Webster Wells - Algebra - 1904 - 642 pages
...terms of a proportion are called the antecedents, and the second and fourth terms the consequents. The first and fourth terms are called the extremes, and the second and third terms the 'means. If the means of a proportion are equal, either mean is called a Mean Proportional between the first...
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New Commercial Arithmetic

John Henry Moore - Business mathematics - 1904 - 404 pages
...equality =, or a double colon :: between the ratios. 950. The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. 951. The test of proportion is that the two integers or fractions representing the ratios are equal,...
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