 | Simon Newcomb - Geometry - 1881 - 418 pages
...ratio gives us another definition of a proportion, namely: 354. Four magnitudes are proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth. Thus the ratio B : A is the inverse of A : B. If A : B :: m : n, then A : B = - and B : A -... | |
 | Joseph Ficklin - Arithmetic - 1881 - 406 pages
...proportion are the first ancj fourth terms. 512. The Means are the second and third terms. If three numbers are such that the ratio of the first to the second is equal to that of the second to the third, the second is said to be the Mean Proportional between the first and... | |
 | Edwin Pliny Seaver, George Augustus Walton - Algebra - 1881 - 304 pages
...proportional to 8 and 7, how far from either shore will be their meeting-place ? 195. When three quantities are such that the ratio of the first to the second is equal to the ratio of the second to the third, the second quantity is called a mean proportional between the other two. Thus,... | |
 | James Hamblin Smith - 1883 - 466 pages
...other product must form the means. 358. Three quantities are said to be in CONTINUED PEOPOETION when the ratio of the first to the second is equal to the ratio of the second to the third. Thus a, b, c are in continued proportion if a : 6 = 6 : c. The quantity b is called... | |
 | Mathematical association - 1883 - 86 pages
...to the last magnitude. DEF. 10. If there are any number of ratios, and a set of magnitudes is taken such that the ratio of the first to the second is equal to the first ratio, and the ratio of the second to the third is equal to the second ratio, and so on, then... | |
 | Ward, Lock and co, ltd - 1884 - 958 pages
...is the ratio 2x5x6x7:3x7x11x10, or the fraction ,* y'"^ * *Q. which-*. PBOPOBTION. When four numbers are such that the ratio of the first to the second is equal to the ratio of the third to the fourth, then the four numbers are said to form a proportion, or to be in proportion. The proportion... | |
 | Homersham Cox (the younger) - 1885 - 254 pages
...is contained in 10 the same number of times that 1 is in 5. If four quantities are in proportion so that the ratio of the first to the second is equal to the ratio of the third to the fourth, then each of these ratios will be equal to the ratio of the sum of the first and second to... | |
 | George Anthony Hill - Geometry - 1888 - 202 pages
...77. I. Define a proportion. Four quantities are said to be proportional, or to form a proportion, if the ratio of the first to the second is equal to the ratio of the third to the fourth. For example: since ^ = f, the numbers 4, 10, 2, 5, are proportional. A h EF CDGH Again, the... | |
 | George Anthony Hill - Geometry - 1888 - 200 pages
...77. 1. Define a proportion. Four quantities are said to be proportional, or to form a proportion, if the ratio of the first to the second is equal to the ratio of the third to the fourth. For example: since T4T = ^, the numbers 4, 10, 2, 5, are proportional. ABEF CDGH Again, the... | |
 | Edward Albert Bowser - Algebra - 1888 - 868 pages
...y. Ans. 3 : 4. PROPORTION. 156. Definitions. — Four quantities are said to be in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth ; and the terms of the ratios are said to be proportionals. Thus, if - = -, then a, 6, c, d,... | |
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Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. 
