| Robert Simson - Trigonometry - 1762 - 488 pages
...of that which it has to the fecond. XI. When four magnitudes are continual proportionals, the firft is faid to have to the fourth the Triplicate ratio of that which it has to the fecond, and fo on Quadruplicate, &c. increafing the denomination ftill by unity, hi any number of proportionals.... | |
| Joseph Fenn - Mathematics - 1769 - 524 pages
...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 ratio...it has to the fécond, and fo on quadruplicate, &c. increafing the denomination ftill by unity in any number of proportionals. • . XÍI. In proportionals,... | |
| Joseph Fenn - Mathematics - 1769 - 536 pages
.../inilar У ßmüarly dejcribed parallelepiped from the fécond ; becauje tbe prß ßraigkt line has to the fourth, the triplicate ratio of that -which it has to the fécond. A •COROLLARY II. ^ cubes being f.mllar parallelepipeds (D. IX & XXX. B. ll), fimilar farallelfpipeds... | |
| Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...which, it has to the fécond. 162. Def. ii. When four Magnitudes are continual Proportionals, the firft is faid to have to the fourth the triplicate Ratio of that which it has to the fécond, and fo forward quadruplicate, &c. increafing the Denomination each Time by Unity, in any Number of Proportionals.... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...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 fourth' the triplicate ratio of that which it has to the fecond, and fo on, quadruplicate, &c. increafing the denomination ftill by uni;y, in any number of... | |
| Euclid - 1781 - 552 pages
...folid EX, fo is EX to PL, and PL to KO : But if four magnitudes be continual proportionals, the full is faid to have to the fourth the triplicate ratio of that which it has to the fecond : Therefore the folid AB has to the folid KO, the triplicate ratio of that which AB has to EX... | |
| Robert Simson - Trigonometry - 1781 - 534 pages
...fo is EX to PL, and PL to KO. but if four nanguitudes be continual proportionals, the firft is laid to have to the fourth the triplicate ratio of that which it has to the fecond. therefore the fuiid AB has to the folid KO, the triplicate ratio of that which AB has to EX.... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...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 ratio of that which it has to the fecond -t and fo on, quadruplicate, &c. increaflng the denomination ftill by unity. F. In any number... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...which it has to the fecond. XI. See N. When four magnitudes are continual proportionals, the firft is faid to have to the fourth the Triplicate ratio of that which it has to the fecond, and fo on Quadruplicate, &c. increaiing the denomination ftill by unity, in any number of proportionals.... | |
| Isaac Dalby - Mathematics - 1806 - 526 pages
...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 This compounding of ratios by multiplication is called addition of ratios by... | |
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