 | Charles Davies - 1857 - 408 pàgines
...undergo changes of value, then a is said to be proportional to 6. 183i 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 b_ d_ ~^~~' the quantities a, b, c and d, are said to be in proportion.... | |
 | Elias Loomis - 1858 - 256 pàgines
...other antecedent must be greater than its consequent ; if equal, equal ; and if less, less. Def. 3. 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. In this case the middle term is said... | |
 | John Fair Stoddard, William Downs Henkle - 1859 - 538 pàgines
...called the antecedent, and the second term the consequent . (379.) Three quantities are in proportion when the ratio of the first to the second is equal to the ratio of the second to the third. (38O.) The second quantity is called a mean proportional between the other two, and the third quantity... | |
 | James B. Dodd - 1859 - 368 pàgines
...PROPORTION. (141.) PROPORTION consists in an equality of ratios. 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 the numbers 6, 3, 8, 4 are in proportion, since — » —IThe first and... | |
 | James B. Dodd - 1859 - 368 pàgines
...respective consequents — but is usually confined to four terms. (137.) 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 ; that is, when the first divided by the second is equal to the third divided by... | |
 | Charles Hutton - 1860 - 1020 pàgines
...to 6 is J or J ; that of 6 to 4 is f or | ; &c. 77. Proportion is an equality of ratios. Thus, 7Я Three quantities are said to be proportional, when...second to the third. As of the three quantities A (2), В (4), С (R), where \ = f = J, both the same ratio. 79. Four quantities are said to be proportional,... | |
 | Charles Davies - 1860 - 412 pàgines
...changes of value, then a is said to be proportional to b. • 183i 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 the quantities a, 6, c and d, are said to be in propoition. We generally... | |
 | Henry G C. Smith - 1863 - 200 pàgines
...16:8. The first term, 16, is called the Antecedent, and the second, 8, the Consequent. Pour numbers are said to be Proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth. On examining the four numbers, 14, 8, 35, 20, we find V = i5, or 14 : 8 = 85 :... | |
 | Gerardus Beekman Docharty - 1867 - 474 pàgines
...to 6 is | or § ; that of 6 to 4 is £ or |, &c. 79. Proportion is an equality of ratios. Thus, 80. Three quantities are said to be proportional when...of the three quantities A (2), B (4), C (8), where f =•§• =-|, both the same ratio. 81. Four quantities are said to be proportional when the jratio... | |
 | 1872 - 398 pàgines
...8. 15. On comparing Def. 3 with Def. 1, it will be seen that when four quantities are in proportion, the ratio of the first to the second is equal to the ratio of the third to the fourth. Hence we may denote a proportion thus — 3:4 = 6:8 which is read — the ratio... | |
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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. 
