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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 Textbook on Surveying and Mapping ...: Arithmetic, formulas, geometry and ... - Page 97
by International Correspondence Schools - 1898
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The Elements of Arithmetic in Theory and Practice

John William Hopkins, Patrick Healy Underwood - Arithmetic - 1903 - 578 pages
...: 20, is also f . Statement (2) may read 9 is as large compared with 15 as 12 is compared with 20. The first and fourth terms of a proportion are called the extremes, and the second and third terms are called the means, of the proportion. 337. In a proportion the product of the extremes is equal...
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Arithmetic for High Schools, Academies, and Normal Schools

Oscar Lynn Kelso - Arithmetic - 1903 - 308 pages
...is not very clear. While it is proper to use it, it is much better to use the equality sign ( = ). The first and fourth terms of a proportion are called the extremes, and the second and third terms are called the means. If the two ratios of a proportion are simple, the proportion is simple. If either...
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The Advanced Machinist: A Practical and Educational Treatise, with Illustrations

Nehemiah Hawkins - Machine-shop practice - 1903 - 362 pages
...first of which is the antecedent and the second the consequent. PROPORTION 1s AN EQUALITY OF RATIOS. The first and fourth terms of a proportion are called the extremes, and the second and third the means. RATIO AND PROPORTION. A missing mean may be found by dividing the product of the extremes...
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Rational Grammar School Arithmetic

George William Myers, Sarah Catherine Brooks - Arithmetic - 1903 - 424 pages
...curve. 196. The first, second, third, and fourth numbers of a proportion are PAGE The first and the fourth terms of a proportion are called the extremes and the second and the third terms, the means. The first two terms of a proportion are together called the first couplet;...
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Ray's Modern Practical Arithmetic: A Revised Edition of Ray's Practical ...

Joseph Ray - Arithmetic - 1903 - 366 pages
...[ :: ' > is a compound proportion. o : 4 ) D • o J 221. Every proportion consists of four terms. The first and fourth terms of a proportion are called the extremes. The second and third terms of a proportion are called the means. The last term is said to be a fourth...
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Arithmetic, Mensuration and Use of Letters in Formulas, Principles of ...

International Correspondence Schools - Arithmetic - 1904 - 656 pages
...ratio of the first term to the second term equals the ratio of the third term to the fourth term. 65. The first and fourth terms of a proportion are called...and 3 are the extremes and 4 and 6 are the means. 66. A direct proportion is one in which both couplets are direct ratios. 67. An Inverse proportion...
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New Commercial Arithmetic

John Henry Moore - Business mathematics - 1904 - 404 pages
...ratios. It is indicated by placing the sign of equality =, or a double colon :: between the ratios. 950. The first and fourth terms of a proportion are called...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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Advanced Course in Algebra

Webster Wells - Algebra - 1904 - 642 pages
...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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Elementary Algebra

John Henry Tanner - Algebra - 1904 - 398 pages
..." 6 is to 3 as 10 is to 5 " ; its meaning is the same as 6 : 3 = 10 : 5, ie, the same as a = ¥• The first and fourth terms of a proportion are called the extremes, while the second and third terms are called the means, and the fourth term is called the fourth proportional...
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Elementary Algebra

Walter Randall Marsh - Algebra - 1905 - 446 pages
...antecedents and consequents of the ratios are called the antecedents and consequents of the proportion. The first and fourth terms of a proportion are called the extremes and the second and third terms are called the means. The terms of a proportion are said to be proportional. The fourth term of a proportion...
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