| William Guy Peck - Algebra - 1875 - 348 pages
...Definitions. 158. A proportion is an expression of equality between two ratios. A proportion may be written in **two ways. Thus, if the ratio of a to b is equal to the ratio of c to d,** we may indicate this equality by either of the following expressions: bd , - = - , or, a : b :: r,... | |
| Horatio Nelson Robinson - Algebra - 1875 - 338 pages
...thus, a :,b : : c : d, which is read, a is to b, as c is to d ; or thus, a : b = c : d, which is read, **the ratio of a to b is equal to the ratio of c to d.** NOTE.— The second is the modern method, and more fitly expresses the nature of proportion. 253. A... | |
| Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...of equality, : = : ; or a combination of points only, : : : : . Thus, .a : b = c : d, signifies that **the ratio of a to b is equal to the ratio of c to d** ; and the expression a : b : : c : d signifies the same, and may be read, a is to b as c is to d. 21.... | |
| Horatio Nelson Robinson - Algebra - 1879 - 332 pages
...thus, a : b : : c : d, which is read, a is to b, as c is to d ; or thus, a : b = c : d, which is read, **the ratio of a to b is equal to the ratio of c to d.** NOTE. — The second is the modern method, and more fitly expresses the nature of proportion. 24 •... | |
| Isaac Todhunter - Algebra - 1880 - 348 pages
...shortness we may say that the ratio of a to 6 is equal to т or is г . 349. Hence we may say that **the ratio of a to b is equal to the ratio of** с to d. when г = з • о а 350. ff the terms of a ratio be multiplied or divided by the same quantity... | |
| Webster Wells - Algebra - 1880 - 498 pages
...Thus, a : b, or - , indicates the ratio of a to b. o a : b = c : d, is a proportion. indicating that **the ratio of a to b, is equal to the ratio of** e to d, In a proportion the relation of the terms is such that the product of the first and fourth... | |
| George Albert Wentworth - Algebra - 1881 - 400 pages
...the ratios a : b and c : d form a proportion, the proportion is written , _ , a . o — c '. ct (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... | |
| Charles Scott Venable - 1881 - 380 pages
...antecedent of the ratio, and for its denominator the consequent of the ratio. 3. Hence, we may say that **the ratio of a to b is equal to the ratio of c to d.** when - = - . bd 4. If the terms of a ratio be multiplied or divided by the same quantity, the ratio... | |
| Franklin Ibach - Geometry - 1882 - 208 pages
...colon placed between the two couplets, thus: a : b :: c : d. This is read, a is to 6 as c is to d; or, **the ratio of a to b is equal to the ratio of c to d.** Of the four terms compared, the first and ihird are the Antecedents, and the second and fourth are... | |
| George Albert Wentworth - 1883 - 536 pages
...the ratios a : b and с : d form a proportion, the proportion is written , -, rra : о = с : a (read **the ratio of a to b is equal to the ratio of** с to d) or a : b : : с : d (read a is to b in the same ratio as с is to d). The first and last terms,... | |
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