| John Keill - 1723 - 364 sider
...Fourth. Vllf. Analogy is a Similitude of Proportionsi IX. Analogy at leaft conjifts of three Terms. X. **When three Magnitudes are Proportionals, the Firft • is faid to have to the Third,** a Duplicate Ratio to -what it has to the Second• XI. But when four Magnitudes are Proportionals,... | |
| Robert Simson - 1762 - 466 sider
...Proportion confifts in three terms at leaft. X. When three magnitudes are proportionals, the firft: rs **faid to haVe to the third the duplicate ratio of that which it has to the** fecond. XI. When four magnitudes are continual proportionals, the firft is faid to have to the fourth... | |
| Joseph Fenn - 1769
...progrefTion,/«f¿ are tbe numbers i, 2, 4, 8, 16, 32, 64, £Л. X. When three magnitudes are proportional **the firft is faid to have to the third the duplicate ratio of that which it has to the fécond.** XI. When four magnitudes are continual proportionals, the firft is faid to have to the fourth the triplicate... | |
| Robert Simson - 1775 - 520 sider
...Analogy, or proportion, is the fimilitude of ratios." lA.* Proportion confifts in three terms at lead. X, **When three magnitudes are proportionals, the firft...third the duplicate ratio of that which it has to the** fecond. XL re N. When four magnitudes are v>nt'nual proportionals, the firft is faid to have to the... | |
| Euclid - 1781 - 520 sider
...fo EF to BG ; and that if three ftraight lines be pro- BGCEF portionals, the firft is f i0. def. 5. **faid ' to have to the third the duplicate ratio of that which it has** tothefecond; BC therefore has to BG the duplicate ratio of that g r. 6. which BC has to EF : But as... | |
| Euclid, James Williamson - 1781 - 309 sider
...And proportion is a fimilitude of ratios. 9. But proportion confifts in three terms at leaft. 10. And **when three magnitudes are proportionals ; the firft is faid to have to the third** a duplicate ratio of that which it has to the fecond. n. And when four magnitudes are proportionals;... | |
| Euclid, John Playfair - 1795 - 400 sider
...becaufe as BC is to EF, fo EF to BG; and that if three ftraight linesbe proportionals, the firft has **to the third the duplicate ratio of that which it has to the** fecond ; BC therefore has to BG the duplicate ratio of that i i. 6. which BC has to EF : but as BC... | |
| Alexander Ingram - 1799 - 351 sider
...called the Extremes, and the others are called Means, X. X. .. BOOK V. The firft of three proportionals **is faid to have to the third the duplicate ratio of that which it has to the** fecond. XI. Of four continual proportionals, the" firft is faid to have to the fourth the triplicate... | |
| Robert Simson - 1804
...Analogy, or proportion, is the fimilitude of ratios." IX. Proportion confifts in three terms at leaft. X. **When three magnitudes are proportionals, the firft...third the duplicate ratio of that which it has to the** fecond. XI. See N. When four magnitudes are continual proportionals, the firft is faid to have to the... | |
| Isaac Dalby - 1806
...And in like manner it is proved that a -f : -. a* : A*. And so of others. And the first term is said **to have to the third, the duplicate ratio of that which it has to the** second ; and to the fourth, the triplicate ratio of that which it has to the second ; and so on. NB... | |
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