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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. "
Junior High School Mathematics - Page 175
by Walter Wilson Hart - 1922
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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...extremes. The second and third terms are called the means. The first and second constitute the fast couplet. The two terms of a couplet must be of the same name...
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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 were...
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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 between the...
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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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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...extremes. The second and third terms are called the means. The first and second constitute the first 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 - 344 pages
...placed between the second and third; which is read, 4 is to 6 as 8 is to 12. The first and fourth terras 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 constitute the second couplet....
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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...extremes. The second and third terms are called the means. The first and second constitute the first couplet. The third and fourth constitute the second couplet....
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An elementary course of practical mathematics, Part 2

James Elliot - 1850 - 116 pages
...in the proportion 16 : 4 : : 12 : 3, the antecedents are 16 and 12, and the consequents 4 and 3. 4. The first and fourth terms of a proportion are called the Extremes ; and the second and third, the Means. 5. The fourth term is said to be a Fourth Proportional to the...
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