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" Of the four terms of which every proportion consists, the first and last terms are called the extremes, and the second and third the means, of that proportion. "
A Treatise on the Elements of Algebra - Page 107
by Bewick Bridge - 1821 - 227 pages
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An Elementary Treatise on Algebra

Bewick Bridge - Algebra - 1818 - 254 pages
...of 12 : 4 is said to be equal to the ratio of 18 : 6, or, in other words, that 12 : 4 : : 18 : 6.w Of the four terms of which every proportion consists, the first and last ternis are called the extremes, and the second and third the means of that proportion. 98. If there...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...proportion, which is thus 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...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...proportion, which is thus 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...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1839 - 280 pages
...of 12 : 4 is said to be equal to the ratio of 18 : 6, or, in other words, that 12 : 4 : : 18 : 6. :" Of the four terms of which every proportion consists,...the second and third the means, of that proportion. 06. If there be a set of quantities related together in the following manner, viz. a : b :: b : c ::...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 634 pages
...of 12 : 4 is said to be equal to the ratio of 18 : 6, or, in other words, that 12 : 4 : : 18 : 6.* Of the four terms of which every proportion consists,...the second and third the means, of that proportion. 79. If there be a set of quantities related together in the following manner, viz. a : b :: b : c :;...
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A Practical System of Algebra in Theory and Practice in Two Parts: With a ...

John D. Williams - Algebra - 1840 - 216 pages
...of 12 : 4 is said to be equal to the ratio of 18 : 6, or, in other words, that 12 : 4 : ; 18 : 6.* Of the four terms of which every proportion consists,...the second and third the means, of that proportion. 79. If there be a set of quantities related together in the following manner, viz. albl'b'. clicld'idle,...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1841 - 260 pages
...12 : 4 is said to be equal to the ratio of 18 : 6, or, in other words, that 12 : 4 : : 18 : 6. (*) Of the four terms of which every proportion consists, the first and last terms are called the extreme*, and the second and third the means, of that proportion. 96. If there be a set of quantities...
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - Algebra - 1849 - 348 pages
...equality is, however, preferable. a.) The terms of the ratio are called also terms of the proportion. The first and last terms are called the extremes, and the second and third, the means of the proportion. b.) If the second and third terms be the same, that^quantity is said to be a MEAN PROPORTIONAL...
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The Western Practical Arithmetic ...: Containing a Great Variety of ...

Arithmetic - 1851 - 260 pages
...ANTECEDENT, and the second the CONSEQUENT. In any series of four proportionals, the first and fourth terms are called the EXTREMES, and the second and third the MEANS. The product of the Means, equals the product of the Extremes. Thus in either series above, 12X8=96,...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...ratios to form a proportion. ART. 264. Each of the four quantities in a proportion is called a term. The first and last terms are called the extremes ; and the second and third terms, the means. The terms of a proportion may be either monomials or polynomials. quents (Art. 257)...
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