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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. "
New Plane Geometry - Page 161
by Wooster Woodruff Beman, David Eugene Smith - 1899 - 252 pages
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Efficiency Arithmetic: Advanced, Book 3

Charles Ernest Chadsey, James Hamblin Smith - Arithmetic - 1917 - 326 pages
...proportion as 15 : 5 = 24 : 8. The four numbers in this proportion are called the terms of the proportion. The first and last terms of a proportion are called the extremes and the second and third terms are called the means. 15 and 8 are the extremes of the above proportion and...
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Junior High School Mathematics, Book 1

George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1917 - 264 pages
...equal to the ratio of 10 ft. to 16 ft." It may, of course, be written simply 5:8 = 10:1 6, or -| = ^. The first and last terms of a proportion are called the extremes ; the second and third terms are called the means. These expressions are unnecessary, however, in the...
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Junior High School Mathematics: First [-third] Course, Volume 3

William Ledley Vosburgh, William Frederick Gentleman - Mathematics - 1919 - 328 pages
...common fractions. Exercises 35-60, pages 53 and 54, and Exercises 11-20, page 141, are proportions. The first and last terms of a proportion are called the extremes; the second and third terms are called the means. For example, in the proportion § = •}$, 2 and 25...
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School Arithmetics: Book One-three, Book 3

George Albert Wentworth, David Eugene Smith - Arithmetic - 1920 - 380 pages
...10ft. is to 15ft.'" It may, of course, be written simply 2 : 3 =10 : 15, or J = i|, Extremes and Means. The first and last terms of a proportion are called the extremes; the second and third, the means. In the proportion | = ^| we see that 7 x 15 = 3 x 35. Similarly, we...
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Fundamentals of Practical Mathematics

George Wentworth, David Eugene Smith, Herbert Druery Harper - Mathematics - 1922 - 220 pages
...10' is to 15'." It may, of course, be written simply 2 : 3 = 10 : 15, or § = i|. Extremes and Means. The first and last terms of a proportion are called the extremes; the second and third terms are called the means. In the proportion 3:7 = 15:35, or if = f if we multiply...
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Book Three

Joseph Clifton Brown, Albert Clayton Eldredge - Arithmetic - 1924 - 346 pages
...3:15 6:7=42:49 The first of these proportions is read: 2 is to 6 as 5 is'to 15. Read the other two. The first and last terms of a proportion are called the extremes; the second and third terms are called the means. Find the product of the means and the product of the...
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Bobbs-Merrill Arithmetics, Volume 3

Raymond Asa Kent, Martha C. Olsen, James R. Skiles - Arithmetic - 1927 - 462 pages
...to 20. Read these proportions: . 1. 7 : 5= 14 : 10 2. 3 : 8= 9 : 24 3. i : i= f : I 4. 8 : 6= 4 : 3 The first and last terms of a proportion are called the extremes; the second and third terms are called the means. In each of the proportions which you read just above...
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The Science of Water: Concepts and Applications

Frank R. Spellman - Science - 1998 - 252 pages
...numbers. A proportion may be written with a double colon (::) in place of the equal sign: a:b::c:d The first and last terms of a proportion are called the extremes; the second and third terms are called the means. Thus in the preceding examples the a and d, and the...
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Practical Arithmetic, by Induction and Analysis

Joseph Ray - Arithmetic - 1857 - 340 pages
...proportion of 3 to 4. A ratio subsists between two quantities; a proportion only-tetween four. ART. 199. The first and last terms of a proportion are' called the extremes; the second and third, the means. Thus, in the proportion 2 : 3 : : 4 : 6, 2 and 6 are the extremes,...
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