| Charles Davies - Algebra - 1889 - 332 pages
...equality between two equal ratios. Thus, b ^ d a c' is n proportion, expressing the fact that the ratio ol **a to b is equal to the ratio of c to d.** This proportion may also be written thus, a : b : : c : d. In either case, the proportion is read,... | |
| Webster Wells - Algebra - 1890 - 560 pages
...the ratio of a to b is -; and it is also expressed a: b. 377. A Proportion is an equality of ratios. **Thus, if the ratio of a to b is equal to the ratio of c to d,** they form a proportion, which may be written in either of the forms : a:b = c:d, - = -, or a : b :... | |
| Walter William Rouse Ball - Algebra - 1890 - 512 pages
...proportion is equal to the product of the means. For if a, b, c, d be in proportion, then, by definition, **the ratio of a to b is equal to the ratio of c to d.** That is, a _ c b~d" Multiply each side by bd, .'. ad = be. 300. Conversely, if four quantities a, b,... | |
| Henry Martyn Taylor - 1893 - 486 pages
...number to the first number. It A, B be two magnitudes such that »» times A is equal to n times It, **the ratio of A to B is equal to the ratio of** n to HI. Similarly, if m times A be greater than n times /.', the ratio of A to B is greater than that... | |
| James Morford Taylor - Algebra - 1893 - 358 pages
...incommensurable ratio. 214. Proportion. Four numbers, a, b, c, d, are said to be in proportion, when **the ratio of a to b is equal to the ratio of** с to d. The proportion is written in the form - = -, a : 6 = с : d, or a : b : : с : d, and is read... | |
| Webster Wells - Geometry - 1894 - 398 pages
...POLYGONS. DEFINITIONS. 227. A Proportion is a statement that two ratios are equal. The statement that **the ratio of a to b is equal to the ratio of c to d,** may be written in either of the forms a:b — c: d, or - = -. bd ^ Of C 39? The first and fourth terms... | |
| John Macnie - Geometry - 1895 - 386 pages
...Thus A (1 each of the equalities A : B = C : D, — = —, expresses a proportion that may be read, **the ratio of A to B is equal to the ratio of C to D** ; or more briefly, A is to B as C is to D. 229. The first and fourth terms of a proportion are called... | |
| Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...second number to the first number. If A, B be two magnitudes such that m times A is equal to n times B, **the ratio of A to B is equal to the ratio of** n to m. Similarly, if m times A be greater than n times B, the ratio of A to B is greater than that... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1896 - 152 pages
...Circles are circles having the same centre. 84. Proportionals are four quantities, a, b, c, d, such that **the ratio of a to b is equal to the ratio of c to d;** that is, such that a : b = c : d. The quantity d is called the fourth proportional to a, b, and c.... | |
| Webster Wells - Algebra - 1897 - 524 pages
...also expressed a : b. b SOL A Proportion is a statement that two ratios are equal. The statement that **the ratio of a to b is equal to the ratio of** с to d, may be written in either of the forms a : b = с : d, or - = -• bd 302. The first and fourth... | |
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