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" Ratio is the quotient which arises from dividing one quantity by another of the same kind. Thus, the ratio of 2 to 6 is 3; the ratio of a to ma is m. REMARKS. — 1st In comparing two numbers or quantities by their quotient, the number expressing the... "
Ray's Algebra, Part First: On the Analytic and Inductive Methods of ... - Page 232
by Joseph Ray - 1848 - 240 pages
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...is - The term Ratio, unless it is otherwise a stated, always signifies geometrical ratio. ART. 255. Ratio is the quotient which arises from dividing one...of the same kind. Thus, the ratio of 2 to 6 is 3, and the ratio of a to ma is m. ART. 256. When two numbers, as 2 and 6, are compared, the Jirst is called...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - Algebra - 1848 - 250 pages
...less than 6, or that 6 is 4 greater than 2. If we compare 2 and 6, by the second method, we say that 6 is equal to three times 2, or that 2 is one third...This method of comparison gives rise to proportion. .ai "4, ART. 232.— Ratio is the quotient which arises ffom dividing one quantity by another of the...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...are in proportion, because f =f ; and of any two equal fractions the four terms are in proportion. The quotient which arises from dividing one quantity by another of the same kind, is called the ratio of the former to the latter : thus, the ratio of 6 to 3 is 2, and the ratio of...
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Part 2

Joseph Ray - Algebra - 1857 - 408 pages
...is - The term Ratio, unless it is otherwise a etated, always signifies geometrical ratio. ART. 255. Ratio is the quotient which arises from dividing one...another of the same kind. Thus, the ratio of 2 to 6 \s 3, and the ratio of a to ma is m. ART. 256. When two numbers, as 2 and 6, are compared, the first...
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A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - Arithmetic - 1857 - 376 pages
...cents. § 25. RATIO. 237. RATIO is the relation of one quantity to another of the same kind ; or, it is the quotient which arises from dividing one quantity by another of the same kind. 238. Ratio is usually indicated by two dots ; thus, 8 : 4 expresses the ratio of 8 to 4. The two quantities...
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A New System of Arithmetic, on an Improved Plan ...

Charles Guilford Burnham - 1859 - 338 pages
...thus, 6-3=3, which is the same as 6—3=3. Art, 156. — Geometrical ratio is the quotient arising from dividing one quantity by another of the same kind. Thus, the ratio of 6 to 3 is f , or 2. Geometrical ratio is expressed by two points placed one over the other, between...
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The Common School Arithmetic: Combining Analysis and Synthesis ; Adapted to ...

James Stewart Eaton - Arithmetic - 1864 - 322 pages
...Ans. 87£ cents. RATIO. 314. RATIO is the relation of one quantity to another of the same kind; or, it is the quotient which arises from dividing one quantity by another of the same kind. II 1.7. Ratio is usually indicated by two dots ; thus, 8 : 4 expresses the ratio of 8 to 4. The two...
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The Common School Arithmetic ...

James Stewart Eaton - Arithmetic - 1868 - 356 pages
...87J cents. 22 RATIO. 314. RATIO is the relation of one quantity to another of the same kind; or, it is the quotient which arises from dividing one quantity by another of the same kind. 315. Ratio is usually indicated by two dots ; thus, 8 : 4 expresses the ratio of 8 to 4. The two quantities...
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Algebra: Adapted to the Course of Instruction Usually Pursued in the ...

Paul Allen Towne - Algebra - 1865 - 314 pages
...(2), (3), and (4), are all 0. RATIO AND PROPORTION. 215. Ratio is the quotient which is obtained by dividing one quantity by another of the same kind. Thus, The ratio of a to 6 is -, commonly expressed by a : b. a/ 1. The two quantities forming a ratio are together called...
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Part 2

Joseph Ray - Algebra - 1852 - 422 pages
..._. The term Ratio, unless it is otherwise a' stated, always signifies geometrical ratio. AKT. 255. Ratio is the quotient which arises from dividing one...of the same kind. Thus, the ratio of 2 to 6 is 3, and the ratio of a to ma is in. ART. 256. When two numbers, as 2 and 6, are compared, the Jlrst is...
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