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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: Designed for Use in High Schools and Academies - Page 273
by Emerson Elbridge White - 1896 - 394 pages
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...written, A : В : : С : D. te " A is to В as С is to D." Of a proportion, the first and last terms are called the extremes, and the second and third the means ; thus A, D are the extremes, and В, С the means, of the proportion A : B: : С : D. The terms A and С...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...written, A : В : : С : D. ie " A is to В as С is to D." Of a proportion, the first and last terms are called the extremes, and the second and third the means ; thus A, D are the extremes, and В, С the means, of the proportion A : B; : С : D. The terms A and С...
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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....
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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 ....
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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...
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The Prussian Calculator: By which All Business Calculations are Performed by ...

Isaac A. Clark - Arithmetic - 1846 - 218 pages
...12 : : 3 : 4, or 12 : 9 : : 4 : 3, are each true proportions. § The first and fourth terms of every proportion are called the extremes, and the second and third the means. § The proportion 4 is to 7 as 12 is to 21, or 4 : 7 :: 12: 21, may be written thus ; y=M • § If...
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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, and the second terms, or...
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The American Arithmetic

James Robinson (of Boston.) - 1847 - 304 pages
...expression is usually read thus : as 5 is to 8, so is 15 to 24. Art. 138. The first and fourth numbers or terms of a proportion are called the extremes, and the second and third numbers or terms are called the means. In the other method of writing the terms, the numerator of the...
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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 of the first fraction and the...
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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....
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