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" Three quantities are said to be proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. "
A Course of Mathematics: For the Use of Academies as Well as Private Tuition ... - Page 318
by Charles Hutton - 1831
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A Textbook on Sheet-metal Pattern Drafting, Volume 1

International Correspondence Schools - Sheet-metal work - 1901 - 578 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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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 - 426 pages
...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 - 488 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...is 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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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1912 - 392 pages
...that point by the two tangents to the circle. 315. THEOREM. // two secants intersect without a circle, the ratio of the first to the second is equal to the ratio of the external segment of the second to the external segment of the first. Given a circle with secants AB...
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Hopkins and Underwood's Arithmetic: Book One-two, Book 2

John William Hopkins, Patrick Healy Underwood - Arithmetic - 1912 - 406 pages
...Thus, f = £ becomes f = §, and is = M becomes | =|. Four quantities are said to be in proportion, or to be proportional when the ratio of the first to the second equals the ratio of the third to the fourth. The numbers, 2, 3, 4, 6 are in proportion for, | = £....
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