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" Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means. "
The Elements of Plane and Solid Geometry ... - Page 137
by Edward Albert Bowser - 1890 - 393 pages
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The Academic Algebra

William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 444 pages
...the antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion. The first and fourth terms are...the extremes, and the second and third the means. 304. A Continued Proportion is a series of equal ratios ; , , . . а с с а as, a:b = с : d —...
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An Easy Algebra

Charles Scott Venable - 1890 - 170 pages
...terms of the proportion are called the antecedents, and the second and fourth the consequents. Again, the first and fourth terms are called the extremes, and the second and third the means. 117. Results to be Remembered.— We must bear in mind : 1. The value of any ratio a : b is the fraction...
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College Algebra

Webster Wells - Algebra - 1890 - 560 pages
...called the extremes, and the second and third terms the means. Thus, in the proportion a : b = c : d, a and d are the extremes, and b and c the means. 379. In a proportion in which the means are equal, either mean is called a Mean Proportional between...
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The Principles of Elementary Algebra

Nathan Fellowes Dupuis - Algebra - 1892 - 360 pages
...is evidently subject to all the transformations of Art. 78, I. 83. In the proportion a : b = c : d, a and d are the extremes and b and c the means. But since the same proportion may be written b : a = d : c, the extremes and means are capable of exchanging...
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Science and Art Drawing: Complete Geometrical Course ; Consisting of Plane ...

John Humphrey Spanton - Geometrical drawing - 1895 - 608 pages
...between the second two, e,j. as 2 is to 4, so is 5 to 10 ; therefore these four numbers are said to be in proportion. The first and fourth terms are called the extremes, and the second and third the means. The product of the extremes equals the product of the means, eg 2x10 = 4x5. So, the first three terms...
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A School Algebra: Designed for Use in High Schools and Academies

Emerson Elbridge White - Algebra - 1896 - 418 pages
...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 numbers are said to...
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...-, or a:b::c:d, ba and is read a is to b as c is to d. 198. The four terms of the two equal ratios are called the Terms of the proportion. The first...the above proportion, a and d are the extremes, and 6 and c the means. The first and third terms are called the Antecedents, and the second and fourth...
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The Werner Arithmetic: Oral and Written, Book 3

Frank H. Hall - Education - 1898 - 296 pages
...I,et a : b = c : d, stand for any proportion. TO. ac Then T = -j oa Clearing of fractions, ad = be But a and d are the extremes, and b and c, the means ; hence, in any proportion, in which abstract numbers are employed the product of the means equals...
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The Werner Arithmetic: Oral and Written, Book 3

Frank H. Hall - Arithmetic - 1898 - 326 pages
...4 Let a : b = c : d, stand for any proportion. Tt. ac TheQ J = d Clearing of fractions, ad = be But a and d are the extremes, and b and c, the means ; hence, in any proportion, in which abstract numbers are employed the product of the means equals...
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The Werner Arithmetic: Oral and Written. Book III--parts I and II, Volume 3

Frank H. Hall - Arithmetic - 1898 - 298 pages
...L,et a : b = c : d, stand for any proportion. TI. ac Then T = -j oa Clearing of fractions, ad = be But a and d are the extremes, and b and c, the means ; hence, in any proportion, in which abstract numbers are employed the product of the means equals...
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