 | Charles Hutton - 1822 - 616 pages
...is J=J, and the ratio of 8 to 20 is ,^=|. 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... | |
 | John Penrose (teacher of arithmetic.) - 1824 - 320 pages
...the same or equal to the ratio of 9 to 12. Proportion consists of three terms at least. Three numbers are said to be proportional, when the ratio of the first to the second, is the same as- the ratio of the second to the fourth; as 2, 4,8, where -}=£=2, both the same ratio, for 4 is as much greater in... | |
 | John Nicholson (civil engineer.) - 1825 - 1008 pages
...obtained by dividing the consequent by the antecedent. 89. Three magnitudes or quantities, A, 11, (.', are said to be proportional, when the ratio of the first to the second is the same as that of the second to the third. Thus, 2, 4, 8, are proportional, because 4 is contained in 8 as many... | |
 | John Nicholson - 1825 - 838 pages
...obtained by dividing the consequent by the antecedent. 89. Three magnitudes or quantities, A, B, C, are said to be proportional, when the ratio of the first to the second is the same u that of the second to the third. Thus, 2, 4, 8, are proportional, because 4 is contained in 8 as... | |
 | Charles Hutton - 1825 - 608 pages
...the third. As of the three quantities A (2), B (4), c (8), where J =£ =4, both the same ratio. 7'j. Four quantities are said to be Proportional, when the ratio of the tirst to the second, is the same as the ratio of the third to the fourth. As of the four, A (2),u(4),c... | |
 | John Nicholson (Civil engineer) - 1830 - 240 pages
...obtained by dividing the consequent by the antecedent. 89. Three magnitudes or quantities, A, B, C, are said to be proportional, when the ratio of the first to the second is the same as that of the second to the third. Thus, 2, 4, 8, are proportional, because 4 is contained in 8 as many... | |
 | Charles Hutton - 1831 - 660 pages
...third. As of the three quantities д (2), в (4), с (8), where \ = | = £, both the same ratio. 79. Four quantities are said to be proportional, when...fourth. As of the four, A (4), в (2), с (10), D (5), where f = у = 2, both the same ratio. Note. To denote that four quantities, А, в, с, D, are... | |
 | Euclid, James Thomson - 1837 - 410 pages
...Thus, to illustrate this definition, let us take the numbers 10, 4, 15, and 6, and it will be seen that the ratio of the first to the second is the same as the ratio of the third to the fourth. For, if the first and third be multiplied by 2, and the second and fourth by 5, the multiples of the... | |
 | 1838 - 218 pages
...divided by the first is the same as the quotient of the fourth divided by the third, that is, so that the ratio of the first to the second is the same as the ratio of the third to the fourth, we say that these four numbers are in PROPORTION. The first and last terms are called EXTREMES ; the... | |
 | George Roberts Perkins - 1841 - 274 pages
...days, is J. The ratio of 3j hours to 7£ hours, is 31-i-7J=4f. When there are four quantities, of which the ratio of the first to the second is the same as that of the third to the fourth, these four quantities are said to be in proportion. Thus 4, 6, 8,... | |
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Four quantities are said to be Proportional, when the ratio of the first to the second, is the same as the ratio of the third to the fourth. 
