Reflections on the Communication of Motion by Impact and GravityBy the RevIsaac Milner, MAFellow of Queen's College, CambridgeCommunicated by Anthony Shepherd, DDFRSand Plumian Professor at Cambridge . fides, when thetheory of mechanics is well underftood, and the founda-tions of error difcovered, the fame reafonings are eafilytransferred to other cafes, and fimilar precautions pradlical artifts have little to do with the fuddencommunication of motion by impa6t. The coUifions ofbodies are too violent operations to enter into the com*Vo L. LXVIII. A a a pofitioa 364 ^^* MiLNER on
Reflections on the Communication of Motion by Impact and GravityBy the RevIsaac Milner, MAFellow of Queen's College, CambridgeCommunicated by Anthony Shepherd, DDFRSand Plumian Professor at Cambridge . fides, when thetheory of mechanics is well underftood, and the founda-tions of error difcovered, the fame reafonings are eafilytransferred to other cafes, and fimilar precautions pradlical artifts have little to do with the fuddencommunication of motion by impa6t. The coUifions ofbodies are too violent operations to enter into the com*Vo L. LXVIII. A a a pofitioa 364 ^^* MiLNER on the Communication ofpolition of ufeful machines, in which motions are ratherto be preferved by the gradual effects of weights aiidpreflures. An accurate knowledge therefore of thefeefFeds is more eflential to the interefts of fociety; andthe only way of arriving at fuch a knowledge is alwaysto diftinguifli thofe principles which nobody denies,from thofe others which are found to take place only infome particular circumftances • The folio wing problemwas propofed, and a folution given to it long ago, by D. BERNOULLI^, (jr) Comment. Petrop. torn* IL <« Sit Motion by Jmpadl and Gravity. 3^5. *^ Sit grave aliquodcujufcunque figurs©CBA, cujus centrumgrayitatis fit d ; ex quoet radio d m defcriptusintelligatur circulusMNP, cui filum cir-cumvolutiim eft pmn,cujus fili extremitatiappenfum fit pondusct, quod defcenfti fuograve CBA in gyruniagit circum centrumgravitatis D, dico velo-citatem corporis Q^fe-quentem in modumdeterminari poffe. SitMD = ^; confidereturcorpus fiifpenfiim expun<5to M ofcillari,efle-que centrum ofcilla-tionis in o, fitque*^ DO=^, pondus gravis totius cbA=p, pondus corporis; altitudo ex qua corpus Q^delapfum eft =:r;^ altitudo quaefita per quam grave aliquod cadendo ac- A a a s quirere 366 Mr. MiLNER on the Communtcatkn of ** quirere poffit velocitatem corporis q=s; dico fore ;2f= *^ aT^bf > ^ ^ tempus quo corpus naturaliter cadit, per^ altitudinem r
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