...distant from the other vertices. BOOK ITT. THEORY OP PROPORTION. - SIMILAR POLYGONS. DEFINITIONS. 238. A Proportion is an equality of ratios. Thus if the ratio of a to 6 is equal to the ratio of c to d, they form a proportion, which may be written in either of the forms...

...for shortness we may say that the ratio of a to b is equal to y or is r . 349. Hence we may say that the ratio of a to b is equal to the ratio of c to d, when r = 3 • bd 350. If the terms of a ratio be multiplied or divided by t/ie same quantity the ratio...

...285. If the ratios a : b and c : d form a proportion, the proportion is written a : b = c : d (read the ratio of a to b is equal to the ratio of c to d) , or a:b::c:d (read a is to b in the same ratio as c is to d). The first and last terms, a and d, are...

...in proportion. 285. If the ratios a : b and c : d form a proportion, the proportion is written (read the ratio of a to b is equal to the ratio of c to cZ) , or a:b::c:d (read a is to b in the same ratio as c is to d). The first and last terms, a and...

...If the ratios a : Ъ and с : d form a proportion, the proportion is written a : Ъ = с : d (read the ratio of a to b is equal to the ratio of с to d) , or a:b::c:d (read я is to 6 in the same ratio as с is to d). The first and last terms,...

...the denominator of a fraction. Thus the ratio of a to b is - ; and it is also expressed a : b. 305. A Proportion is an equality of ratios. Thus, if the ratio of a to b is equal to the ratio of с to d, they form a proportion, which may be written in either of the forms : a: & = c:d, • - =...

...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,...

...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,...

...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...

...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...