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" Four quantities are said to be proportional when thejatio of the first to the second is the same as the ratio of the third to the fourth. "
A Dictionary of Science, Literature, & Art: Comprising the Definitions and ... - Сторінка 113
редактори - 1867
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The Academic Algebra

William Frothingham Bradbury, Grenville C. Emery - 1889 - 428 стор.
...also the ratio of A : Б and ?/? A : т В. 303. Proportion is an equality of ratios. Four numbers 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...
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Elementary Algebra

Walter William Rouse Ball - 1890 - 512 стор.
...—px + q — 0, 1 -1 «2 prove that (ri*+n 2)2=i-. PROPORTION. 297. Proportion. Four quantities are said to be proportional, or in proportion, when the ratio of the first of them to the second is equal to the ratio of the third of them to the fourth. Thus a, b, c, d are...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - 1890 - 418 стор.
...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 is equal to the ratio of the third to the fourth. Thus, if g = g, then, A, B, C, D are said to be in proportion....
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The Compass.$A monthly journal for engineers ..., Томи 1 – 3

1891 - 592 стор.
...two different kinds of progression of series of numbers. 5th. — When we have four numbers, in which the ratio of the first to the second is the same as the ratio of the third to the fourth, these four numbers form a proportion, or an equality of ratios, and' the different numbers are designated...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 стор.
...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...
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A School Algebra: Designed for Use in High Schools and Academies

Emerson Elbridge White - 1896 - 418 стор.
...Thus, in a : b : : с : d, a and d are the extremes ; and 6 and c, the means. 519. Four numbers are said to be proportional, or in proportion, when the ratio of the first to the second equals the ratio of the third to the fourth. Thus, a, b, c, d, are proportional when a : b = с : d....
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Plane Geometry

George D. Pettee - 1896 - 272 стор.
...REGULAR POLYGONS DEFINITIONS 183. A Proportion is an equality of ratios. 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 the following...
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Algebra for Colleges and Schools

Henry Sinclair Hall, Samuel Ratcliffe Knight - 1897 - 552 стор.
...show that either x = y, or г = x + y. PROPORTION. 348. DEFINITION. 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. The four quantities are called proportionals, or the...
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Workshop Mathematics, Частина 1

Frank Castle - 1900 - 184 стор.
...proportional to 4 and 9. Third Proportional. — When three quantities are in proportion and are such that the ratio of the first to the second is the same as the second to the third, then the latter is called a third proportional to the other two. Unitary Method....
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Elements of Algebra

James Morford Taylor - 1900 - 504 стор.
...16. Which is the greater ratio, 7:5 or 7 + 2:5 + 2? PROPORTION. 324. 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. An equality whose members are two equal ratios is called...
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