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" 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. "
Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ... - Page 242
by Charles Davies - 1860 - 400 pages
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The Academic Algebra

William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 444 pages
...; also the ratio of A : Б and m A : т Б. 303. Proportion is an equality of ratios. Four numbers are in proportion when the ratio of the first to the...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 clots (: :). (1...
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The Academic Algebra

William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 428 pages
...together are called a couplet. 169. Proportion is an equality of ratios. Four numbers are proportional 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 dots (: :). Thus, a...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...BF. BOOK III. EATIO AND PEOPORTION. SIMILAR FIGUEES. DEFINITIONS. 277. Four quantities are said to be in proportion when the ratio of the first to the second...to the ratio of the third to the fourth. Thus, if g = g, then, A, B, C, D are said to be in proportion. The proportion is written A : B = C : D, or A...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1891 - 424 pages
...BF. BOOK III. KATIO AND PKOPOKTION. SIMILAR FIGUKES. DEFINITIONS. 277. Four quantities are said to be in proportion when the ratio of the first to the second is equal to the ratio oi the third to the fourth. Thus, if g = g, then, A, B, C, D are said to be in proportion. The proportion...
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The Principles of Elementary Algebra

Nathan Fellowes Dupuis - Algebra - 1892 - 362 pages
...assignable quantity. PROPORTION. 82. Pour quantities are proportional, or are in proportion, or form a proportion, when the ratio of the first to the second...equal to the ratio of the third to the fourth. Thus a, b, c, d are proportional when a : b •— с : d. This may be expressed as - = - , and a proportion,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...the fraction of which the first number is the numerator and the second the denominator. four numbers are in proportion when the ratio of the first to the second is equal to that of the third to the fourth. But it will be seen that these definitions are inapplicable to Geometrical...
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Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical ...

Irving Stringham - Algebra - 1893 - 164 pages
...equal to that of the second to the third." n. "Three or more magnitudes are said to be in continued proportion when the ratio of the first to the second is equal to that of the second to the third, and the ratio of the second to the third is equal to that of the third...
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Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical ...

Irving Stringham - Algebra - 1893 - 192 pages
...of the other respectively. ' ' 10. "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." 11. "Three or more magnitudes are said to be in continued proportion...
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Elementary Algebra for the Use of Preparatory Schools

Charles Smith - Algebra - 1894 - 620 pages
...equal to the original ratio. PROPORTION. 242. Definition. Four quantities are said to be proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth. Thus a, b, c, d are proportional, if a : b = с : d. This is sometimes expressed by the notation о : b...
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Arithmetic for Schools

Charles Smith - Arithmetic - 1895 - 414 pages
...cd. 24 cu. ft., and the ratio being £, or 8 : 9. PROPORTION. 203. When four quantities are such that the ratio of the first to the second is equal to the ratio of the third to the fourth, the four quantities are said to be Proportionals. For example, the ratio $5 : $ 15 = the ratio 3t....
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