§. 57. Primo igitiir qii:icramiis motiim , qiii ccntro 



Tab. II. ej.iiiit:itis corporis C inirio imprimi dcbcat, \t ilhim motiim pro- 



f'g- 9- (cquatiir. Rcfcrat igitiir Figuri 9. fitum corporis initialcm, pro 



quo fupr.i vidimus cHc coordin:itns .v — — a co ct j ~ i — 3 a"*, 



vnde ergo pro cclcrit:itibus colligitur 



5x __ A coj. u ) _A gj a;y __ Q . 



tJ t au u a <i t ' 



vnde p.uct ccntro grauitatis F initio imprimi dcbuinc fccun- 

 dum dircclioncni F a ipfi axi O D par:ilicl;im, at in pl:igam 

 contrariam dirc<ftam, ccleritatcm =: -+- A . Si hacc nioius ce- 



lcritas vocctur — k atquc pro data accipiatur, crit ~ -k ^ fic- 



quc innotclcit quantitas Arzraa/:, hincquc porro T — aa/t/t. 



§. 5 8- Euidcns autcm crt , fi folus hic motus cor- 

 pori imprimcrctur, filum circumuolutum ct in O fixum rclax.i- 

 tum iri, quod nc fiat, ncccflc c(l ^t corpori noflro infupcr mo- 

 tus gyratorius in fcnfum Ij d a imprimatur , id quod ctinm 

 calculus manifclto dcclarat, Cum cnim pro motu gyratorio fit 

 d(^z=z?)v — d(}, erit gcncr.atim ^cp — "-^""-'J^-"' ' , hincquc 



ipfa cclcritas gyratoria ^ =: A (i — 2 cof w"); vndc pro ipfo 

 initio, quo oj r c, crit irta cclcritas angularis =: — --, in con- 

 trariam fcilicct plagam \crgit, critquc ir: — /:, idcoquc motus 

 illc ipfo cum motu progrcliiuo conucnict. 



§• 59« Quia igitur in gcncrc inucnlmus cclcritatem 

 anguiarcm "^ — A(i — 2cof. w"), liinc di^cimus , ab initio 

 hanc cclcritatcm in pingam h d a dirc(flam continuo- imminui, 

 atquc adco in nihilum abirc, ^biangulus w cuafcrit fcmirc(flus; 

 poHca \cro, quando il\c angulus \jtra biinc tcrminum 45° in- 

 crclcit, motus gyraioriiis i;cncrabitur in plagam contrariam vcr- 

 lus, qui contiuuo augcbitur, doncc tandcm poll tcmpus infini- 



tum 



