 | Simon Newcomb - Geometry - 1881 - 418 pages
...definition of a proportion, namely: 354. Four magnitudes are proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth. Thus the ratio B : A is the inverse of A : B. If A : B :: m : n, then A : B = - and B : A - - ; the... | |
 | Ward, Lock and co, ltd - 1884 - 958 pages
...fraction ,* y'"^ * *Q. which-*. PBOPOBTION. 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, then the four numbers are said to form a proportion, or to be in proportion. The proportion is the... | |
 | Homersham Cox (the younger) - 1885 - 254 pages
...number of times that 1 is in 5. If four quantities are in proportion so that the ratio of the first to the second is equal to the ratio of the third to the fourth, then each of these ratios will be equal to the ratio of the sum of the first and second to the sum... | |
 | Edward Albert Bowser - Algebra - 1888 - 868 pages
...PROPORTION. 156. Definitions. — 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 ; and the terms of the ratios are said to be proportionals. Thus, if - = -, then a, 6, c, d, are called proportionals,... | |
 | George Anthony Hill - Geometry - 1888 - 200 pages
...Four quantities are said to be proportional, or to form a proportion, if the ratio of the first to the second is equal to the ratio of the third to the fourth. For example: since ^ = f, the numbers 4, 10, 2, 5, are proportional. ABEF DG II Again, the lines AB,... | |
 | George Anthony Hill - Geometry - 1888 - 202 pages
...Four quantities are said to be proportional, or to form a proportion, if the ratio of the first to the second is equal to the ratio of the third to the fourth. For example: since ^ = f, the numbers 4, 10, 2, 5, are proportional. A h EF CDGH Again, the lines AB,... | |
 | William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 428 pages
...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... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...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 I = g, then, A, B, C, D are said to be in proportion. The proportion is written A : B = C... | |
 | Nathan Fellowes Dupuis - Algebra - 1892 - 362 pages
...quantities are proportional, or are in proportion, or form a proportion, 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 when a : b •— с : d. This may be expressed as - = - , and a proportion,... | |
 | Charles Smith - Algebra - 1894 - 620 pages
...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... | |
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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. The... 
