. An Investigation of the Principles of Progressive and Rotatory Motion. By the Rev. S. Vince, A. M. of Sidney College, Cambridge. Communicated by George Atwood, A. M. F. R. S. . / n* ^ c 1 1 ¥ G jTvI •?? a J 13. Frincipies of progreJfi<ve and t&tatory Motion. 577 manner it might have been determineiJi had q^ moved in an oppolite dire<Stion. Cor. 4* Hence alfo we may eafily determine the mo-tion of each body after the ftroke, fuppoling q^ had notbeen moving in a direction parallel to the motion of p,by refolving qJs motion into two parts, one parallel tothe motion of p, and t
. An Investigation of the Principles of Progressive and Rotatory Motion. By the Rev. S. Vince, A. M. of Sidney College, Cambridge. Communicated by George Atwood, A. M. F. R. S. . / n* ^ c 1 1 ¥ G jTvI •?? a J 13. Frincipies of progreJfi<ve and t&tatory Motion. 577 manner it might have been determineiJi had q^ moved in an oppolite dire<Stion. Cor. 4* Hence alfo we may eafily determine the mo-tion of each body after the ftroke, fuppoling q^ had notbeen moving in a direction parallel to the motion of p,by refolving qJs motion into two parts, one parallel tothe motion of p, and the other perpendicular; andfindingby the preceding what would be the effedl of theparallel motions, and then compounding qJs motion, af-ter the ftroke from that conlideration^ with the motionit had in a diredtion perpendicular thereto before theftroke. Cor. 5. The point a of the body p will defcribe (whenthat body after the ftroke has any progrefiive motion)the common cycloid. Cor. 6. Hence^ therefore, the times of the revolutionsof each body may be determined as in Prop* vi. Cor. 7. If the bodies had any rotatory motion beforeimpa(St, every thing relative to the motion of the bodiesafter the ftroke m
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Keywords: ., bookcentury1700, bookdecade1780, booksubjectproceed, bookyear1780
