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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: With Numerous Exercises - Page 137
by Edward Albert Bowser - 1890 - 393 pages
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1821 - 648 pages
...that 12 : 4 : : 18 : 6.cb) 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. 98. If there be a set of quantities related together in the following manner, viz....
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...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 and С...
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A Treatise on Algebra

George Peacock - Algebra - 1830 - 732 pages
...algebraical mode of expressing the proportion a : b :: c : d, or c : d :: a : b; in the first of which, a and d are the extremes, and b and c the means ; and in the second, c and b are the extremes, and </ and a the means. Continued 372. If the two mean...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...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 and С...
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The Transactions of the Royal Irish Academy, Volume 17

Royal Irish Academy - Ireland - 1837 - 644 pages
...antecedents of the analogy, (or of the proportion) and the steps b and d being called the consequents, while a and d are the extremes and b and c the means. And since the last of these four steps, or the second consequent d, may, by (168.), be expressed by...
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Transactions, Volume 17

Royal Irish Academy - 1837 - 642 pages
...antecedents of the analogy, (or of the proportion) and the steps b and a being called the consequents, while a and d are the extremes and b and c the means. And since the last of these four steps, or the second consequent d, may, by (168.), be expressed by...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1839 - 280 pages
...that 12 : 4 : : 18 : 6. :" 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. 06. If there be a set of quantities related together in the following manner, viz....
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 264 pages
...first and last terms are called the two extremes, and the second and third terms, thfe two means. Thus, A and D are the extremes, and B and C the means. 146. Of four proportional quantities, the first and third are called the antecedents, and the second...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 634 pages
...words, that 12 : 4 : : 18 : 6.* 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. 79. If there be a set of quantities related together in the following manner, viz....
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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
...words, that 12 : 4 : ; 18 : 6.* 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. 79. If there be a set of quantities related together in the following manner, viz....
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