 | Euclid - Mathematics, Greek - 1908 - 456 pages
...in three terms is the least possible. 9. When three magnitudes are proportional, the first is said to have to the third the duplicate ratio of that which it has to the second. 10. When four magnitudes are < continuously > proportional, the first is said to have to the... | |
 | Morris Kline - Mathematics - 1990 - 434 pages
...possible. In this case ajb = be. Definition 9. When three magnitudes are proportional, the first is said to have to the third the duplicate ratio of that which it has to the second. Definition 10. When four magnitudes are continuously proportional the first is said to have... | |
 | Everett Mendelsohn - Mathematics - 2002 - 594 pages
...In definitions 9 and 10, Euclid says: 9. When three magnitudes are proportional, the first is said to have to the third the duplicate ratio of that which it has to the second. 10. When four magnitudes are continuously proportional, the first is said to have to the fourth... | |
 | Peter M. Engelfriet - Mathematics - 1998 - 516 pages
...related Definition 5 of Book VI: m Heath [9] When three magnitudes are proportional, the first is said to have to the third the duplicate ratio of that which it has to the second. (Def 9) When four magnitudes are <continuously> proportional the first is said to have to the... | |
 | Euclid - 452 pages
...in three terms is the least possible. 9. When three magnitudes are proportional, the first is said to have to the third the duplicate ratio of that which it has to the second. 10. When four magnitudes are < continuously > proportional, the first is said to have to the... | |
| |
When three magnitudes are proportionals, the first is said to have to the third the duplicate ratio of that which it has to the second. 
