| Isaac Newton - Celestial mechanics - 1729 - 436 pages
...which a body, uniformly revolving in a circle by means of a given centripetal force, defcribes in any **time, is a mean proportional between the diameter of the circle, and the** fpace which the fame body falling by the fame given force would defcend thro' in the .fame given time.... | |
| William Emerson - Centrifugal force - 1769 - 81 pages
...revolves uniformly in a circle, by means of a given centripetal force ; the arch which it defcribes in any **time, is a mean proportional between the diameter of the circle, and the** fpace which the bod}' would defcend thro' in the fame time, and with the fame given force. For 2R (diameter)... | |
| William Emerson - Mathematics - 1769 - 370 pages
...revolves uniformly in a circle, by means of a given centripetal force; the arch which it defcribes in any **time, is a mean proportional between the diameter of the circle, and the** fpacf which the body would defcend thro' in the fame time, and with the fame given force. For 2R (diameter)... | |
| William Emerson - Centrifugal force - 1793 - 386 pages
...uniformly in a circle, by means of a given centripetal force ; the arch -which it defcribes in any **time, is a mean proportional between the diameter of the circle, and the** fpace -which the body would defcend through in the fame time, and -with the fame given force. For 2R... | |
| Samuel Vince - Calculus - 1812 - 256 pages
...constant central force, will be increased in the same ratio of 1 : a2 ; therefore the arc described in any **time is a mean proportional between the diameter of the circle and the** distance fallen through in the same time, by the constant action of the centripetal force. Now the... | |
| John Mason Good - 1819 - 790 pages
...wh.ih a body uniformly revolving in a circle by means of a given centripetal force describes in any **time, is a mean proportional between the diameter of the circle, and the space** which the same body, lulling by the same gi .'en fo ce, would desceud thiou^h in the same given ti... | |
| Jeremiah Day - Measurement - 1815 - 388 pages
...equal to half radius. For the cosine of 60° is the sine of 30°. (Art. 89.) 97. The chord of any arc **is a mean proportional, between the diameter of the circle, and the** versed sine of the arc. Let ADB (Fig. 6.) be an arc, of which AB is the chord, BF the sine, and AF... | |
| Thomas Leybourn - Mathematics - 1819 - 430 pages
...and the fluxion a1 — л* '--9 (* + *)* - 7, The аг-c of a> circle which. a body, acted u-ponby, **a centripetal force, uniformly describes in any given...mean proportional between the diameter of the circle,** andi the «pace described by a heavy body from rest in the same time when urged by the force in the... | |
| Rev. John Allen - Astronomy - 1822 - 516 pages
...arch, which a body, by revolving uniformly in a circle with a given centripetal force, describes in any **time, is a mean proportional between the diameter of the circle, and the** descent of the body performed in the same time by falling with the same given force. Scholium. The... | |
| Jeremiah Day - Geometry - 1824 - 440 pages
...rf."^~ * ' Rs=l=sin3 45°+cot3 45°=2 sin3 45° Therefore, Sin 4d° = v/^ = 97. The chord of any arc **is a mean proportional, between the diameter of the circle, and the** versed sine of the arc. Let ADB (Fig. 6.) be an arc, of which AB is the chord. BF the sine, and AF... | |
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