| Charles Hutton - Mathematics - 1812 - 622 pages
...77. Proportion is an equality of ratios. Thus, 78. 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 the third.** As of the three quantities A (2), B (4), c (8), where .J ;= | = 2, both the same ratio. 79. Four quantities... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...77. Proportion is an equality of ratios. Thua, 78. 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 the third.** As of the three quantities A (2), B (4), c (8), where f =f =5, both the same ratio. 79. Four quantities... | |
| James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...ratio of A to 15 I ) B is the same with the ratio of C to D. COR. II. Any four magnitudes whatever, **so related that the ratio of the first to the second is** the same with the ratio of the third to the fourth, may be expressed by rA, A, rB, B ; the first of... | |
| James Ryan - Algebra - 1826 - 430 pages
...that K-=rrj '' >s evident the ratio of A to B is the same J> L) COR. II. Any four magnitudes whatever, **so related that the ratio of the first to the second is** the same with the ratio of the third to the fourth, may be expressed by rA, A,rB, B ; the first of... | |
| James Hayward - Geometry - 1829 - 218 pages
...also, f = 1 ; that is, the ratio of 2 to 6 is equal to one third. 77. When four magnitudes are such **that the ratio of the first to the second, is equal to the ratio of the** third to the fourth, these four magnitudes are said to be in proportion. Proportion is equality of... | |
| Ira Wanzer - Arithmetic - 1831 - 408 pages
...3 : 5, denotes the ratio of 3 to 5. Four quantities are said to be in geometrical proportion, when **the ratio of the first to the second is equal to the ratio of the** third to the fourth. Thus, the four numbers 8, 4, 14, 7, are proportional, because the ratio 8 : 4... | |
| Industrial arts - 1835 - 398 pages
...Proportion is an equality of ratios. Thus— 3. Three quantities are said to be proper, tional, when **the ratio of the first to the second is equal to the ratio of the second to the third.** As of the three quantities A (2), A (4), с (8), where two fourths are equal to four eighths, and one... | |
| Charles William Hackley - Geometry - 1847 - 248 pages
...76. Proportion is an equality of ratios. Thus, 77. 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 the third.** As of the three quantities, A = 2, B = 4, C = 8, where \ = £ = \, both the same ratio. 78. Four quantities... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...consequent; if equal, equal; and if less, less. Def. 3. 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 the third;** thus, if A, B, and C are in proportion, then A : B : : B : C. In this case the middle term is said... | |
| William Somerville Orr - Science - 1854 - 534 pages
...ratio is of course the same as the ratio 4 : 2, or the ratio 2:1. When there are four quantities such **that the ratio of the first to the second is equal to the ratio of the** third to the fourth, the four quantities are said tobe in proportion: thus, if the four quantities... | |
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