| Robert Simson - Trigonometry - 1762 - 488 pages
...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,...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.... | |
| Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...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,...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
...to the folid EX, fo is EX to PL, ind PL to KO : But if four magnitudes be continual, propor^ionals, **the firft is faid to have to the fourth the triplicate ratio** «f that which it has to the fecond: Therefore the folid AB las to the folid KO, the triplicate ratio... | |
| 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
...tothe third the duplicate ratio of that which it has to the fecond. XI. Sst N. When four magnitudes dre **continual proportionals, the firft is faid to have to the fourth the Triplicate ratio of** thnt which it has to the fecond, and fo on Quadruplicate, &c. increafing the dew nomination ftill by... | |
| Nicolas Vilant - Algebra - 1798 - 196 pages
...ofthat which it has to the fécond; and when four magnitudes are in continued proportion, the ßrß **is faid to have to the fourth the triplicate ratio...has to the fécond ; and fo on quadruplicate, &c.** increaiing the denomination Mill by unity, in any number of proportionals. That is, in any number of... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...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...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
...firft is faid to have to the third the duplicate ratio of that which it has to the fecond. XI. See N. **When four magnitudes are continual proportionals,...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... | |
| John Mason Good - 1813 - 714 pages
...which it has to the second. 1 1 . When four magnitudes are continual proportionals, t\\e first is said **to have to the fourth the triplicate ratio of that which it has** lit'... second, a:id so cm, quadruplicate, Sec. increasing the denomination stilt by unity, in any... | |
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