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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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A Textbook on Sheet-metal Pattern Drafting, Volume 1

Metal-work - 1901 - 548 pages
...example, the three numbers 36, 18, and 9 are in continued proportion. For, we have ff = y ; that is, the ratio of the first to the second is equal to the ratio of the second to the third. In this example, 18 is the mean proportional between 30 and 9, and 9 is the third proportional to 36...
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A Textbook on Sheet-metal Pattern Drafting, Volume 1

International Correspondence Schools - Sheet-metal work - 1901 - 570 pages
...the ratio 135 quarts to 63 quarts? Ans. The ratios are equal. 1.2. 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, the four numbers are said to be proportionals; and a statement of the equality...
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First Steps in Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1901 - 168 pages
...lines. EXERCISE 95. Proportion. Four quantities are said to bo proportional, or to form a proportion, if the ratio of the first to the second is equal to the ratio of the third to the fourth. The four quantities are called the terms of the proportion ; the first and the...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...is an exact multiple of the second, the second may be taken as the common unit of measure ; and then the ratio of the first to the second is equal to the measure of the first by the second. (6) RATIO OF INCOMMENSURABLE MAGNITUDES 225. Next suppose that...
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Mathematics

American School (Chicago, Ill.) - Engineering - 1903
...т = — i Or о : a. aba 4. Proportion is an equality of ratios. Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. The equality of two ratios is indicated by the sign of equality ( = ), or by four...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 456 pages
...reciprocal of A : B. Definition 9. Three magnitudes 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. Thus A, B, 0 are proportionals if A : B : i B : C. B is called a mean...
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Handbook of Mathematics for Engineers and Engineering Students

Joseph Claudel - Mathematics - 1906 - 758 pages
...alone means geometrical proportion. 326. Four quantities are said to be proportional or in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. Thus, given the four proportional quantities 8, 4, 12, 6; 8 : 4 = 12 : 6. In this...
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Soulé's Philosophic Practical Mathematics: Designed for the Use of ...

George Soulé - Business mathematics - 1910 - 1042 pages
...8 are the consequents ; 3 and 8 are the extremes; and 6 and 4 are the means. 655. 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 being £. In this kind of proportion,...
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Appleton's New Practical Cyclopedia: A New Work of Reference Based ..., Volume 5

Marcus Benjamin, Arthur Elmore Bostwick, Gerald Van Casteel, George Jotham Hagar - Encyclopedias - 1910 - 548 pages
...expressed by division, which one quantity bears to another. 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. A proportion may be written in either of two ways; thus if the ratio of a to b...
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An Introduction to Practical Mathematics

Frank Moulton Saxelby - Mathematics - 1910 - 238 pages
...accurately as your tables will allow. 92. Proportion. — 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. Consider (he following geometrical example. Draw any straight line, OAB, through...
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