The Laws of Centripetal and Centrifugal Force... |
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acting Alfo alſo angle angular error arch areas B. I. Prop becauſe body revolves center of force center of gravity centrifugal force centripetal force confequently contrary crdd cube curve cycloid decreaſe defcend thro defcribed diameter diſtance diſturbing force draw ecliptic ellipfis epicycloid equal falling body fecond fide fimilar fince fluxion fmall fome forces reciprocally fore fpace fquare roots fuppofe furface fyftem given globe hight impulfe inclination increaſe interfection Jupiter Jupiter's laft latus rectum logarithmic Spiral moon motion moves thro muſt nodes oppofite orbit parabola parallel parallelogram periodic perpendicular plane pofition pole Prob quantity of matter radii radius refiftance revolution Saturn SCHOLIUM Sect ſmall spheroid ſquares tangent thefe theſe tion tranfverfe axis triangle tropic D turbing force velocity at H whence whilft whofe
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Page 22 - SA, and ^>=SP the perpendicular on the tangent at A. Let AR be the radius of curvature; from the point a in the curve infinitely near A, draw am, an parallel to AS, AR. Let C= velocity in the curve ; c- velocity in the circle.
Page 37 - AD — z. f •=. fpace a body will defcend at P, in a fecond, by the centripetal force, vr: the velocity the body is projected with from P, or the fpace it defcribes in a fecond. Then \/2df\s the velocity of a body revolving in a circle, at the diftance SP.