| 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 :... | |
| 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... | |
| 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.... | |
| 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... | |
| George Chrystal - Algebra - 1898 - 476 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... | |
| Frank Castle - Mathematics - 1899 - 424 pages
...ratios are equal, the 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... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 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... | |
| Frank Castle - Mathematics - 1900 - 184 pages
...ratios are equal, the 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... | |
| 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,... | |
| James Morford Taylor - Algebra - 1900 - 504 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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