 | Daniel W. Fish - 1874 - 302 pągines
...antecedents, 4 and 5 are the consequents; 8 and 5 are the extremes, 4 and 10 are the means. Three numbers are proportional, when the ratio of the first to the second...is equal to the ratio of the second to the third. Thus the numbers 4, 10, and 25 are proportional, since 4 : 10 = 10 : 25, the ratio of each couplet... | |
 | Charles Davies - 1875 - 490 pągines
...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 ， &... | |
 | Richard Wormell - 1876 - 268 pągines
...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... | |
 | Association for the improvement of geometrical teaching - 1876 - 66 pągines
...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 - 1877 - 458 pągines
...the other antecedent must be greater than its consequent ; if equal, equal ; and if less, less. 1 2. Three quantities are said to be proportional when...second is 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... | |
 | James Hamblin Smith, Thomas Kirkland - 1877 - 376 pągines
...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... | |
 | William Frothingham Bradbury - 1877 - 280 pągines
...T, ie - -f- т = -, or b : a. ab aba 195. PROPORTION is an equality of ratios. Four quantities are proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth. The equality of two ratios is indicated by the sign of equality (=) or by four... | |
 | James Maurice Wilson - 1878 - 450 pągines
...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 pągines
...the other antecedent must be greater than its consequent ; if equal, equal ; and if less, less. 12. Three quantities are said to be proportional when...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 pągines
...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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Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. 
