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" Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. "
Elements of Geometry and Conic Sections - Page 37
by Elias Loomis - 1857 - 226 pages
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Elements of Geometry

Simon Newcomb - Geometry - 1881 - 418 pages
...definition of a ratio gives us another definition of a proportion, namely: 354. Four magnitudes are proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth. Thus the ratio B : A is the inverse of A : B. If A : B :: m : n, then A : B =...
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Elementary algebra. To which is now added an appendix

James Hamblin Smith - 1883 - 444 pages
...the other product must form the means. 358. Three quantities are said to be in CONTINUED PEOPOETION when the ratio of the first to the second is equal to the ratio of the second to the third. Thus a, b, c are in continued proportion if a : 6 = 6 : c. The quantity b is called a MEAN PEOPOETIONAL...
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The Franklin Elementary Algebra

Edwin Pliny Seaver, George Augustus Walton - Algebra - 1881 - 304 pages
...7, how far from either shore will be their meeting-place ? 195. When three quantities are such that the ratio of the first to the second is equal to the ratio of the second to the third, the second quantity is called a mean proportional between the other two. Thus, if A:B = B: C, then...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883
...consequents, B, Q. DEF. 7. Three magnitudes (A, B, C) of the same kind are said to be proportionals, when the ratio of the first to the second is equal to that of the second to the third : that is when A : B :: B : C. In this case C is said to be the third...
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The universal instructor, or, Self-culture for all, Volume 2

Ward, Lock and co, ltd - 1884 - 970 pages
...2x5x6x7:3x7x11x10, or the fraction ,* y'"^ * *Q. which-*. PBOPOBTION. When four numbers are such that the ratio of the first to the second is equal to the ratio of the third to the fourth, then the four numbers are said to form a proportion, or to be in proportion. The...
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Principles of Arithmetic

Homersham Cox (the younger) - 1885 - 220 pages
...contained in 10 the same number of times that 1 is in 5. If four quantities are in proportion so that the ratio of the first to the second is equal to the ratio of the third to the fourth, then each of these ratios will be equal to the ratio of the sum of the first and...
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The Commercial Arithmetic: A Practical Text-book for Business Colleges, High ...

Warren H. Sadler - 1888 - 426 pages
...Ib. : 3 Ib. is the first couplet, 64? : 24? the second couplet. •1 • I O. Three quantities are proportional when the ratio of the first to the second...equal to the ratio of the second to the third. Thus, 8 Ib., 4 Ib., and 2 Ib. are proportional, since 8 -t- 4 = 4 -t- 2. The second quantity (4 Ib.) is called...
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Soule's Intermediate Philosophic Arithmetic, Embracing Oral and Written Problems

George Soulé - Arithmetic - 1888 - 570 pages
...are the consequents ; 3 and 8 are the extremes; and G and 4 are the means. 486. Three numbers .are proportional, when the ratio of the first to the second...equal to the ratio of the second to the third. Thus, 4, 8, and 16 are proportional, since 4 : 8 : : 8 : 16, each ratio be«g2. In this kind of proportion...
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A Treatise on Algebra: By Charles Smith

Charles Smith - Algebra - 1888 - 571 pages
...of Art. 162, be proved to be true for the ratios of incommensurable numbers. PROPORTION. 207. Four quantities are said to be proportional when the ratio...the first to the second is equal to the ratio of the third to the fourth. Thus a, b, c, d are proportional, if This is sometimes expressed by the notation...
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College Algebra: For the Use of Academies, Colleges, and Scientific Schools ...

Edward Albert Bowser - Algebra - 1888 - 876 pages
...ratio x : y. Ans. 3 : 4. PROPORTION. 156. Definitions. — Four quantities are said to be in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth ; and the terms of the ratios are said to be proportionals. Thus, if - = -, then...
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