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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. "
A Treatise on Geometry and Its Application in the Arts - Page 124
by Dionysius Lardner - 1840 - 314 pages
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Plane Geometry

George D. Pettee - Geometry, Modern - 1896 - 272 pages
...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 forms: a: b = c : d, or...
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Algebra for Colleges and Schools

Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1897 - 552 pages
...= 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 terms of the proportion....
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Introduction to Algebra: For the Use of Secondary Schools and Technical Colleges

George Chrystal - Algebra - 1898 - 480 pages
...• Four algebraic quantities a, b, c, d are said to be in proportion wlwn a/b = c/d, that is, when the ratio of the first to the second is equal to the ratio of the third to tlie fourth. We may write this relation with the special notation a : b = c : d whenever it...
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Introduction to Algebra: For the Use of Secondary Schools and Technical Colleges

George Chrystal - Algebra - 1898 - 476 pages
...— F<mr algebraic quantities a, b, c, d are said to be in proportion wlien a/b = c/d, that is, when the ratio of the first to the second is equal to the ratio of the third to tlie fourth. We may write this relation with the special notation a : b = с : d whenever...
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...form, the proportion may be written a:b::d:c. Hence, four quantities are reciprocally proportional when the ratio of the first to the second is equal to the ratio of the fourth to the third. When the terms of each ratio of a proportion are interchanged, the four quantities...
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Elementary Practical Mathematics

Frank Castle - Mathematics - 1899 - 424 pages
...four terms are said to be in proportion, hence : 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. That is, when the first is the same multiple or sub-multiple of the second, which...
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Elements of Algebra

James Morford Taylor - Algebra - 1900 - 504 pages
...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 a proportion. Thus, if...
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Workshop Mathematics, Part 1

Frank Castle - Mathematics - 1900 - 184 pages
...four terms are said to be in proportion, hence : 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. That is, when the first is the same multiple or sub-multiple of the second, which...
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Grammar School Algebra

George Edward Atwood - 1900 - 276 pages
...double colon, as follows : a:b=c:d ?=£ a:b::c:d bd 416. Four numbers 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 numbers are called proportionals, and the fourth number is called a,...
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A Textbook on Sheet-metal Pattern Drafting, Volume 1

Metal-work - 1901 - 548 pages
...inches or the ratio 135 quarts to 63 quarts ? Ans. The ratios are equal. I2. 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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