Proportion is an equality of ratios. Thus, if a, b, c, d are four quantities, such that a, when divided by b, gives the same quotient as c when divided by d, then a, b, c, d are called proportionals, and we say that a is to b as c is to d... A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ... - Page 122by Charles William Hackley - 1846 - 503 pagesFull view - About this book
| Elias Loomis - Algebra - 1879 - 398 pages
...a: b=ma : mb=-: -. nn PROPORTION. 292. Proportion is an equality of ratios. Thus, if a, b, c, d are four quantities such that a when divided by b gives the same quotient as c when divided by d, these four quantities are called proportionals. This proportion may be written thus, a: b;:-c : d,... | |
| George Chrystal - Algebra - 1898 - 476 pages
...to be in proportion. In other words, if a : 6 be the ratio of A to B, and с : d the ratio of С to D, then A, B, C, D are said to be in proportion when a:b = c:d* This is sometimes expressed Ъу saying that A is to В as С is to D. The above definition... | |
| George Chrystal - Algebra - 1898 - 480 pages
...necessarily of the same kind as A and B, are such that the ratio of A to B is the same as the ratio of C to D, then A, B, C, D are said to be in proportion. In other words, if 0:6 be the ratio of A to B, and c : d the ratio of C to D, then A, B, C, D are said... | |
| Henry Burchard Fine - Algebra - 1904 - 612 pages
...according as a < b or a > 6. Proportion. When the ratios a:b and c:d are equal, the 682 four numbers a, b, c, d are said to be in proportion, or to be proportional. This proportion may be written in any of the ways a/b = c/d, or a:b = c:d, or a:b::c:d.... | |
| Henry Burchard Fine - Algebra - 1904 - 616 pages
...according as a < b or a > 6. Proportion. When the ratios a : b and c : d are equal, the 682 four numbers a, b, c, d are said to be in proportion, or to be proportional. This proportion may be written in any of the ways a/b=c/d, or a:b = c:d, or a : b : :... | |
| William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...multiplied or divided by the same number. 317. When two ratios a : b and c : d are equal, the four numbers a, b, c, d, are said to be in proportion or to be proportional. This equality of ratios may be written in any one of the following forms : ac — = -L,... | |
| William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...multiplied or divided by the same number. 317. When two ratios a : b and c : d are equal, the four numbers a, b, c, d, are said to be in proportion or to be proportional. This equality of ratios may be written in any one of the following forms : ac 7 = -,... | |
| George Wentworth, David Eugene Smith - Algebra - 1913 - 478 pages
...to 5 ? 160. Proportion. An expressed equality of two ratios is called a proportion. Thus if - = -i then a, b, c, d are said to be in proportion or to 6 d form a proportion. This proportion is often read, " о is to 6 as с is to cZ," and may be written... | |
| George Albert Wentworth, David Eugene Smith - Algebra - 1913 - 310 pages
...wheel. 200. Proportion. An expressed equality of two ratios is called a proportion. Thus if - = - , then a, b, c, d, are said to be in proportion or to 6 d form a proportion. This proportion is often read, "a is to 6 as c is to d," and may be written... | |
| William Betz - Geometry - 1916 - 536 pages
...multiplied or divided by the same number. 317. When two ratios a : b and c : d are equal, the four numbers a, b, c, d, are said to be in proportion or to be proportional. This equality of ratios may be written in . any one of the following forms : a • c... | |
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