 | Robert Simson - Trigonometry - 1762 - 488 pages
...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 - Mathematics - 1769 - 536 pages
...i, 2, 4, 8, 16, 32, 64, £sV. 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... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...confifts in three terms at lead. X, When three magnitudes are proportionals, the firft is faid to have to the 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... | |
 | Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...to the Antecedent. 161. Def. ro. When three Magnitudes are Proportionals, the firft is faid to have to the third the duplicate Ratio of that which, it has to the fécond. 162. Def. ii. When four Magnitudes are continual Proportionals, the firft is faid to have... | |
 | Euclid - 1781 - 552 pages
...confifts in three terms at leaft. Xr When three magnitudes are proportionals, the firft is faid to have to the third the duplicate ratio of that which it has to the fecond. xr. See K, When four magnitudes are continual proportionals, the firft if faid to have to the... | |
 | Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...definitions are fufficiently obvious. When three magnitudes are proportionals; the firft is faid to have to the third the duplicate ratio, of that which it has to the fecond. But this definition and the next I fhall have occafion to explain afterwards. When we fay that... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...and 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 - Trigonometry - 1799 - 374 pages
...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 - Trigonometry - 1804 - 530 pages
...BG; and that if three ftraight lines be proporf.io.Def.5. ticmals, the firft is faid f rT" to have to the third the duplicate ratio of that which it has to the fecpnd ; BC therefore has to BG the duplicate ratio of that which BC has to. EF. but a* f T. & BC to... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...consists in three terms at least. X. 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. XI. See N. When four magnitudes are continual proportionals, the first is said to have to the fourth... | |
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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. 
