 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 - 1846 - 380 pages
...bcde, reduces to a f PROPORTION. (209.) Proportion is an equality of ratios. Thus, if o, b, c, d are four quantities, such that a, when divided by b, gives...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 ; and this is expressed by writing them... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...6 cae, reduces to PROPORTION. V (209.) 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 с when divided by d, then a, b, c, d are calle a proportionals, and we say that a is to & as с is... | |
 | Elias Loomis - Algebra - 1855 - 356 pages
...bcde, reduces to a r PROPORTION. (209.) Proportion is an equality of ratios. Thus, if a, b, c, d are four quantities, such that a, when divided by b, gives...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; and this is expressed by wr'ting them... | |
 | Elias Loomis - Algebra - 1856 - 280 pages
...proportional, and the proportion may be written 3_.9. 4-12' or 3:4::9:12. In general, if a, h, c, d are four quantities such that a, when divided by b, gives...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 ; and this is expressed by writing them... | |
 | Charles Hutton - Mathematics - 1860 - 1020 pages
...ab с de Or, a be d e. bTd~ef a ,. ,. j 130. Proportion consists in the equality of ratios. ie wheo divided by d, then a, b, c, d, are said to be propor20 36 ukwo/i ; the numbers 2O, 5, 36, 9 are proportionals, for -— = 4, and — = 4. I Л I... | |
 | Elias Loomis - Algebra - 1862 - 312 pages
...?_JL 4~12' or 3:4::9:12. In general, if a, b, c, d are four quantities such that a, when divided by 6, 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 d as c is to d; and this is expressed by writing them... | |
 | Elias Loomis - Algebra - 1864 - 386 pages
...bcde, reduces to PROPORTION. » (209.) Proportion is an equality of ratios. ' . Thus, if a, b, c, d are four quantities, such that a, when divided by b, gives...quotient as c when divided by d, then a, b, c, d are called proportionals, and we say that a is t<). b as c is to d; and this is expressed by wr'ting them... | |
 | Elias Loomis - Algebra - 1868 - 312 pages
...written ?=— 4~12' or 3 : 4 : : 9 : 12. In general, if a, b, c, d are four quantities such that o, when divided by b, gives the same quotient as c when divided by d, then a, b, c, d are called proper, tionals, and we say that a is to b as c is to d; and this is expressed by writing them... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...b=ma: jnb—-: -. nn PROPORTION. 292. Proportion is an equality of ratios. Thus, if a, 6, c, d are four quantities such that a when divided by b gives the same quotient as c when divided by rf, these four quantities are called proportionals. This proportion may be written thus, a: b:: c :... | |
 | Elias Loomis - Algebra - 1873 - 396 pages
...b—ma: mb—-: -. nn PROPORTION. 292. Proportion is an equality of ratios. Thus, if a, 6, 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, or... | |
| |
