| John Nicholson (civil engineer.) - 1825 - 1008 pages
...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
...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... | |
| John Nicholson (Civil engineer) - 1830 - 240 pages
...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... | |
| 1835 - 398 pages
...to four eighths, and one half, both the same ratio. 4. 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.** As of the four, A (4), в (2), с (10), D (5), where four halves are equal to ten fifths and 2, both... | |
| 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,... | |
| George Hutton (arithmetic master, King's coll. sch.) - 1844 - 276 pages
...Proportion, then, is that relation in respect of magnitude, which subsists between four quantities, **when the ratio of the first to the second is the same as the ratio** ol the third to the fourth. Thus, the quantities 6, 3, 8, and 4, taken in that order, are proportionals;... | |
| Euclides, James Thomson - 1845 - 382 pages
...to illustrate this defiuition, let us take the numbers 10, -I, 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... | |
| George Roberts Perkins - 1846 - 266 pages
...What is the ratio of 10 yards to 5 yards? Of 8 inches to 4 inches? How are four quantities related **when the ratio of the first to the second is the same as the ratio of the third to the fourth** ? When four terms are in proportion, how are they written I Of the four terms constituting a proportion,... | |
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