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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. "
A School Algebra - Page 154
by Simon Newcomb - 1882 - 279 pages
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Elements of Arithmetic

Etienne Bézout - Mathematics - 1824 - 238 pages
...and in a geometrical proportion, 3 is to 15 as (geometrically) 4 is to 20. 173. The first and last terms of a proportion are called the extremes ; the second and third, or two middle te> ins, are called the means. . As theje are tw.o ratios, and consequently two antecedents...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - Arithmetic - 1841 - 274 pages
...fourth, and four points are placed between the second and third : which is read, 4 is to 6 as 8 is to 12. The first and fourth terms of a proportion are called the extremes. The second and third terms are called the means. The first and second constitute the fast couplet. The two terms of a couplet...
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A Treatise on Algebra: Embracing, Besides the Elementary Principles, All the ...

George Roberts Perkins - Algebra - 1842 - 370 pages
...greater than c'. Of the four quantities constituting an arithmetical proportion, the first and fourth are called the extremes, the second and third are called the means. The first and second, together, constitute the first couplet ; the third and fourth constitute the...
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The Elements of Arithmetic ... in which Decimal and Integral Arithmetic are ...

Pliny Earle Chase - 1844 - 164 pages
...consequents may exchange places. Thus, 2 : 6 :: 7 : 21, and 6 :2 :: 21 :7, are each true proportions. The first and fourth terms of a proportion, are called the extremes, the second and third terms, the means. The proportion 3 : 12 == 2 : 8 may also be written 735 = f . If these two fractions...
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An Introduction to Geometry and the Science of Form: Prepared from the Most ...

Anna Cabot Lowell - Geometry - 1846 - 216 pages
...divided by BC. The first term of each ratio is called the antecedent, the second term is the consequent. The first and fourth terms of a proportion are called the extremes ; the second and third terms are the means. If the same quantity is taken twice as a mean it is called a mean proportional...
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The Rational Arithmetic: In which the Science is Fully Developed, the Art ...

James S. Russell - Arithmetic - 1847 - 340 pages
...The four quantities forming a proportion are called proportionals, or, the terms of the proportion. The first and fourth terms of a proportion are called the extremes, and the second and third, the means. Also, the first terms, or divisors in ratios, are called the antecedents,...
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The Elements of Algebra: Designed for the Use of Common Schools, Also ...

George Roberts Perkins - Algebra - 1848 - 234 pages
...quantities which constitute a geometrical proportion, as in arithmetical propoition, the first and fourth are called the extremes, the second and third are called the means. The first and second constitute thejlrst couplet ; the third and fourth constitute the second couplet....
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - Arithmetic - 1849 - 356 pages
...fourth, and four points are placed between the second and third ; which is read, 4 is to 6 as 8 is to 12. The first and fourth terms of a proportion are called the extremes. The second and third terms are called the means. The first and second constitute the first couplet. The third and fourth...
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Putnam's Arithmetic

Rufus Putnam - Arithmetic - 1849 - 276 pages
...± = |f ; which is read, 4 is to 5 as 12 is to 15 ; or, 4 divided by 5 is equal to 12 divided by 15. The first and fourth terms of a proportion are called the extremes; and the second and third, the means. When the proportion is expressed in a fractional form, the numerator...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - Arithmetic - 1850 - 356 pages
...fourth, and four points are placed between the second and third ; which is read, 4 is to 6 as 8 is to 12. The first and fourth terms of a proportion are called the extremes. The second and third terms are called the means. The first and second constitute the first couplet. The third and fourth...
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