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" The quantities which are compared together are called the terms of the proportion. The first and last terms are called the two extremes, and the second and third terms, the two means. "
A Treatise on Algebra: For the Use of Schools and Colleges - Page 176
by Stephen Chase - 1849 - 336 pages
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An Elementary Treatise on Algebra

Bewick Bridge - Algebra - 1818 - 254 pages
...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 be a set of quantities related together in the following manner, viz....
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1821 - 648 pages
...or, in other words, 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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Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 246 pages
...its consequent. 8. If the number of magnitudes so related be but four, they are denominated simply a proportion ; the first and last terms are called the extremes, and the intermediate terms the means. 9. The antecedents are called homologous, or like terms, and the same...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...constitute a 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
...constitute a 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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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...C : D, and read, A is to B as C is to D. The quantities which are compared together are called the terms of the proportion. The first and last terms are called the two extremes, and the second and third terms, the two means. 3. Of four proportional quantities, the...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1839 - 280 pages
...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 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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Elements of Algebra

Algebra - 1839 - 368 pages
...: C : D. and read, A is to B, as C to D. The quantities which are compared together are called the terms of the proportion. The first and last terms are called the two extremes, and the second and third terms the two means. 170. Of four proportional quantities, the...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 272 pages
...: : C : D; and read, A is to B as C to D. The quantities which are compared together are called the terms of the proportion. The first and last terms are called the two extremes, and the second and third terms, the two means. Thus, A and D are the extremes, and B...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 634 pages
...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 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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