 | Daniel W. Fish - Arithmetic - 1874 - 302 pages
...first and fourth terms. 762. The Means are the second and third terms. In the proportion 8 : 4 : : 10 : 5, 8, 4, 10, and 5 are the proportionals; 8 : 4 is...: 10 = 10 : 25, the ratio of each couplet being f . The proportion 8 : 4 : : 10 : 5 may be expressed thus, f = ^ (757). Reducing these fractions to equivalent... | |
 | Charles Davies - Algebra - 1875 - 490 pages
...obepⅠoportl０Ⅱ れ Ⅰ 士 06 ・ Ihus @ の ㏄ る ・ 182. 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. Thus, if み ぱ 一 一 一 一 ' のり ・ theuaHt" q ・ n @ e8 の ， &... | |
 | Daniel W. Fish - Arithmetic - 1876 - 296 pages
...first and fourth terms. 762. The Weans are the second and third terms. In the proportion 8 : 4 :: 10 : 5, 8, 4, 10, and 5 are the proportionals; 8 : 4 is...since 4: 10 = 10 : 25, the ratio of each couplet being |. The proportion 8 : 4 : : 10 : 5 may be expressed thus, £ = if. (757). Reducing these fractions... | |
 | Richard Wormell - 1876 - 268 pages
...A to B. 61. Proportion is the equality of ratios. In other words, four magnitudes form a proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. Since the two members of any equality can be interchanged, it follows from this... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...greater than its consequent ; if equal, equal ; and if less, less. 1 2. Three quantities are said to be proportional when the ratio of the first to the second...equal to the ratio of the second to the third ; thus, if A, B, and.C are in proportion, then A:B::B:C, or, A:B=B:C. In this case the middle term is said... | |
 | James Hamblin Smith, Thomas Kirkland - Arithmetic - 1877 - 376 pages
...required = 3X9, .'. number required = ^T = 5|.. 219. Three numbers are said to be in OtwrnroED PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third. Thus 3, 6, 12 are continued proportion, for f = A. The second number is called a MEAN PBOPOBTIONAL between... | |
 | James Maurice Wilson - 1878 - 450 pages
...consequents, B, Q. Def. 7. Three magnitudes (A, B, C) of the same kind are said to be proportionals, when the ratio of the first to the second is equal to that of the second to the third : that is when A : B :: B : C. In this case C is said to be the third... | |
 | Elias Loomis - 1880 - 456 pages
...greater than its consequent ; if equal, equal ; and if less, less. 12. Three quantities are said to be proportional when the ratio of the first to the second is equal to the ratio of the second to tho third ; thus, if A, B, and C are in proportion, then A:B::B:C, or, A:B=B:C. , In this case the... | |
 | James Thomson - 1880 - 408 pages
...Fonr numbers (or four numerics generally) constituting two equal ratios, and written in order so that the ratio of the first to the second is equal to the ratio of the third to the fourth (as, for instance 10, 15, 8, 12), are commonly called four proportionals. The first... | |
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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. 
