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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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A Grammar School Arithmetic

George Albert Wentworth - Arithmetic - 1893 - 376 pages
...: 3 : : 18 : 9, means, and is read, the ratio of 6 to 3 is equal to the ratio of 18 to 9. 253. Tine first 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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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 - = -> it follows, by multiplying...
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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 = -f bd bd, that 2. ad...
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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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An Advanced Arithmetic for High Schools, Normal Schools, and Academies

George Albert Wentworth - Arithmetic - 1898 - 424 pages
...means, and is read, the ratio of 5 to 3 is equal to the ratio of 15 to 9. 386. Means and Extremes. The first and last terms of a proportion are called the extremes, and the two middle terms are called the means. 387. Test of a Proportion. When four numbers are in proportion,...
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An Advanced Arithmetic

George Albert Wentworth - 1898 - 424 pages
...means, and is read, the ratio of 6 to 3 is equal to the ratio of 15 to 9. 386. Means and Extremes. The first and last terms of a proportion are called the extremes, and the two middle terms are called the means. 387. Test of a Proportion. When four numbers are in proportion,...
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An Advanced Arithmetic for High Schools, Normal Schools, and Academies

George Albert Wentworth - Arithmetic - 1898 - 424 pages
...means, and is read, the ratio of 5 to 3 is equal to the ratio of 15 to 9. 386. Means and Extremes. The first and last terms of a proportion are called the extremes, and the two middle terms are called the means. 387. Test of a Proportion. When four num hers are in proportion,...
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 416 pages
...colon (: :) is also used in this connection as a sign of equality, the proportion being written a:b : :c:d. The double colon is not, however, as extensively...229. Theorem. If a : b = c : d, then ad = be. Proof. From T-=-V it follows, by multiplying equals by bd, o ct that ad = be. Ax. 6 Hence If four numbers...
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Elementary Practical Mathematics

Frank Castle - Mathematics - 1899 - 424 pages
...The proportion is written as 6 : 8 : : 15 : 20, and this should be read as 6 is to 8 as 15 is to 20. The first and last terms of a proportion are called the extremes, and the second and third terms the means ; thus 6 and 20 are the extremes, and 8 and 15 are the means in the...
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1900 - 400 pages
...(::) is also used in this connection as a sign of equality, the proportion being written a:b: : c : d. The double colon is not, however, as extensively used...229. Theorem. If a : b = c : d, then ad = be. Proof. From 7=35' it follows, by multiplying equals by bd, u ct that ad = be. Ax. 6 Hence If four numbers...
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