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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. "
Progressive Arithmetic: Third Book - Page 290
by William James Milne - 1906 - 366 pages
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...is also used in this connection as a sign of equality, the proportion being written a : b : : c : d. The first and last terms of a proportion are called the extremes, and the other terms the means. FUNDAMENTAL PROPERTIES. I. If a : b = c : d, then ad = bc. Proof. 1. From r...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...is also used in this connection as a sign of equality, the proportion being written a : b : : c : d. The first and last terms of a proportion are called the extremes, and the other terms the means. FUNDAMENTAL PROPERTIES. I. If a : b = c : d, then ad = bc. Proof. 1. From -...
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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
...= 5 : 15. This may be read, The ratio of 2 to 6 equals the ratio of Ь to 15. The first and fourth terms of a proportion are called the 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 finding...
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Plane Geometry

George D. Pettee - Geometry, Modern - 1896 - 272 pages
...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 the 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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A School Algebra: Designed for Use in High Schools and Academies

Emerson Elbridge White - Algebra - 1896 - 418 pages
...the first and third being antecedents, and the second and fourth, consequents. The first and fourth terms of a proportion are called the extremes; and the second and third, the means. Thus, in a : b : : с : d, a and d are the extremes ; and 6 and c, the means. 519. Four...
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A Grammar School Arithmetic

George Albert Wentworth - 1896 - 430 pages
...: 18 : 9, means, and is read, the ratio of 6 to 3 is equal to the ratio of 18 to 9. 253. The j?rs< and last terms of a proportion are called the extremes, and the two middle terms are called the means. 254. Test of a proportion. When four numbers are proportionals,...
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The Elements of Mechanical Engineering, Volume 1

Electrical engineering - 1897 - 672 pages
...to the second term 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 G are the means. 317. A direct...
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Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1904 - 384 pages
...to d, may be written in either of the forms a : b = с : d. or - = -• bd 302. The first and fourth terms of a proportion are called the 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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An Elementary Treatise on Electric Power and Lighting: Arithmetic ...

International Correspondence Schools - Electrical engineering - 1897 - 346 pages
...to the second term equals the ratio of the third term to the fourth term. 306. 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 0 are the means. 307. A direct...
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Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1897 - 422 pages
...be written in either of the forms j а с a : о = с : a. or - = — bd 302. The first and fourth terms of a proportion are called the 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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