 | Isaac Todhunter - 1880 - 426 sider
...between the first and the third.] 11. When four magnitudes are continued proportionals, the first is said to have to the fourth, the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c. increasing the denomination still by unity, in any number of... | |
 | Euclid, Isaac Todhunter - 1883 - 428 sider
...the first and the third.] 1 1 . When four magnitudes are continued proportionals, the first is said to have to the fourth, the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c. increasing the denomination still by unity, in any number of... | |
 | Euclides - 1885 - 340 sider
...which it has to the second. xi. When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second. xii. When there is any number of magnitudes of the same kind greater than two, the first is... | |
 | Euclid, John Casey - 1885 - 340 sider
...which it has to the second. xi. When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second. xn. When there is any number of magnitudes of the same kind greater than two, the first is... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...duplicate ' of the ratio A: B. 11. When four magnitudes are continual proportionals the first is said to have to the fourth the ' triplicate ratio ' of that which it has to the second, and so on, 'quadruplicate,' etc., increasing the denomination still by unity in any number... | |
 | Euclid - 1904 - 488 sider
...either of them. Definition 14. When four magnitudes are in continued proportion, the first is said to have to the fourth the triplicate ratio of that which it has to the second. It may be shewn as above that the ratio compounded of three equal ratios is the triplicate... | |
 | Euclid - 1908 - 456 sider
...it has to the second. 10. When four magnitudes are < continuously > proportional, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on continually, whatever be the proportion. n. The term corresponding magnitudes is... | |
 | Morris Kline - 1990 - 434 sider
...to the second. Definition 10. When four magnitudes are continuously proportional the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on continually, whatever the proportion. Thus if AjB = BIC = CjD, then A has the triplicate... | |
 | Everett Mendelsohn - 2002 - 594 sider
...which it has to the second. 10. When four magnitudes are continuously proportional, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on continually, whatever be the proportion.31 And in definitions 17 and 18, he says:... | |
 | Peter M. Engelfriet - 1998 - 516 sider
...it has to the second. (Def 9) When four magnitudes are <continuously> proportional the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on continuously, whatever the proportion. (Def 10). (If three quantities form a continuous... | |
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When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c., increasing the denomination still by unity, in any number of proportionals. 
