. Philosophical transactions. \\ rxwsi therefore dt=L- x%yzz— x^»r, hence^i (^^td-^dszzid-^-nrzz4 rs r/dl,,ai,\X\/XAh?n\.( Bodies affcBed by Tridiion, 1 ^Q rx «r, confcqnently r$ -f rx ^ IX * • t S n r r irx (from what is proved above) 7;? x CB :/? x CA ; tberefor«a X CA X rs ■]- a x CA x rx zz m x CB x rx^ hence rx^ —~— ^^^v the radius of the circle which rollinc^ down the incHned plane LM, and carrying the body with it, willgive the true ratio of its progreffive to its rotatory motion,and confequently that point of the circle which coincides withany given point of the body
. Philosophical transactions. \\ rxwsi therefore dt=L- x%yzz— x^»r, hence^i (^^td-^dszzid-^-nrzz4 rs r/dl,,ai,\X\/XAh?n\.( Bodies affcBed by Tridiion, 1 ^Q rx «r, confcqnently r$ -f rx ^ IX * • t S n r r irx (from what is proved above) 7;? x CB :/? x CA ; tberefor«a X CA X rs ■]- a x CA x rx zz m x CB x rx^ hence rx^ —~— ^^^v the radius of the circle which rollinc^ down the incHned plane LM, and carrying the body with it, willgive the true ratio of its progreffive to its rotatory motion,and confequently that point of the circle which coincides withany given point of the body will, as the circle revolves uponthe line LM, defcribe the fame curve as the correfpondingpoint of the body ; but as the nature of the curve defcribed byany point of a circle revolving upon a ftraight line is alreadyvery well known, it feems unnecedary to give the a method of reafoning, not very different, may the natureof the curve, which is defcribed by any point of a body moving^lpon an horizontal plane, and affe6led by fri6Hon, be determined.
Size: 1568px × 1594px
Photo credit: © Reading Room 2020 / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookauthoradamsjohn17351826formerowner, bookauthorjohnadamslibr
