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" Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. "
Elements of Geometry and Conic Sections - Page 37
by Elias Loomis - 1857 - 226 pages
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Arithmetic for Schools

Charles Smith - Arithmetic - 1895 - 412 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 :...
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Plane Geometry

George D. Pettee - Geometry, Plane - 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 - 548 pages
...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 terms of the proportion....
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Introduction to Algebra: For the Use of Secondary Schools and Technical Colleges

George Chrystal - Algebra - 1898 - 474 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 - 412 pages
...follows : — 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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Elementary Practical Mathematics

Frank Castle - Mathematics - 1899 - 404 pages
...given example, the two ratios are equal, the four terms are said to be in proportion, hence : Four quantities are said to be proportional, when the ratio...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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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 240 pages
...its simplest 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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Workshop Mathematics, Part 1

Frank Castle - Mathematics - 1900
...given example, the two ratios are equal, the four terms are said to be in proportion, hence : Four quantities are said to be proportional, when the ratio...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 - 264 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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Elements of Algebra

James Morford Taylor - Algebra - 1900 - 508 pages
...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 a proportion. Thus, if...
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