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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 Introduction to Geometry and the Science of Form: Prepared from the Most ... - Page 130
by Anna Cabot Lowell - 1846 - 161 pages
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New High School Algebra

Webster Wells, Walter Wilson Hart - Algebra - 1912 - 504 pages
...NOTE. Leibnitz, 1646-1716, was instrumental in establishing the use of the form a : Ь = с : d. 303. The first and fourth terms of a proportion are called the Extremes, and the second and third the Means. In the proportion a : Ъ = с: d, a and d are the extremes, and...
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Second Course in Algebra

Webster Wells, Walter Wilson Hart - Algebra - 1913 - 362 pages
...NOTE. Leibnitz, 1646-1716, was instrumental to establishing the use of the form a : b = с : d. 185. The first and fourth terms of a proportion are called the Extremes, and the second and third the Means. In the proportion a : b = c: d, a and d are the extremes, and b...
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School Algebra: First-[second], Volume 2

Henry Lewis Rietz, Arthur Robert Crathorne, Edson Homer Taylor - Algebra - 1915 - 298 pages
...sometimes found is a : b : : с : d. In any notation the proportion may be read "a is to b as с is to d." 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 _ с a and d are the extremes...
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School Algebra: First Course

Henry Lewis Rietz, Arthur Robert Crathorne, Edson Homer Taylor - Algebra - 1915 - 302 pages
...sometimes found is a : b : : с : d. In any notation the proportion may be read "a is to b as с is to d." 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 с a and d are the extremes and...
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Plane Geometry

Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...proportion since - = — • 3 15 This means that 1 bears to 3 the same relation that 5 bears to 15. The first and fourth terms of a proportion are called the Extremes, and the second and third terms, the Means. In the proportion a : b = c : d, a and d are the extremes...
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Plane and Solid Geometry

Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...a proportion since - = — 3 15 This means that 1 bears to 3 the same relation that 5 bears to 15. The first and fourth terms of a proportion are called the Extremes, and the second and third terms, the Means. In the proportion a : 6 = c : d, a and d are the extremes...
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Elementary Algebra

George Hervey Hallett, Robert Franklin Anderson - Algebra - 1917 - 432 pages
...of с to d. An old form and one less frequently used is a : ft : : с : d. 172. Extremes and means. 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 and d are the extremes and...
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First Book in General Mathematics

Mathematics - 1917 - 284 pages
...may also be stated as "The last term of each ratio of a proportion is called its consequent." 161d. The first and fourth terms of a proportion are called the extremes. 161e. The second and third terms of a proportion are called the means. These last two definitions might...
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Eighth Grade Mathematic

Harry Morton Keal - Mathematics - 1917 - 148 pages
...members are ratios. For example : T% = ^f is a proportion, and may be read 8 is to 12 as 16 is to 24. The first and fourth terms of a proportion are called the extremes, and the second and third are called the means. In the proportion Д = .|f , 8 and 24 are the extremes,...
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Secondary Mathematics: I-, Volume 1

Harry Morton Keal, Nancy Seymour Phelps - Mathematics - 1917 - 240 pages
...members are ratios. For example : T% = ^f is a proportion, and may be read 8 is to 12 as 16 is to 24. The first and fourth terms of a proportion are called the extremes, and the second and third are called the means. In the proportion ^ = -|f , 8 and 24 are the extremes,...
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