 | Charles Hutton - Mathematics - 1812 - 620 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... | |
| |
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. 
