212 



DE DESCENSy CORFORrM 



ftrum cafum accommodandam , ponamus a__o qnbd ini- 

 tio motus euenit , eritque __ C \ quoniam vcro '. ... 

 cafii clt v~o , erit C~ o ; ideoque v-igV-vuk.ii 

 ~o. Ex qua aequatione oritur vcl V <&___(<> | I 

 -+-i_))V«' vel Vv — (g-V(gg^ki)Vu. Martifemini 

 autem cfl priorem tantum aequatiOnern tOciien habere 

 pofTe , quia in defccnfii vtraque ceieritas Vv et V u cfl 

 allirmatiua. 



§. **. Cum igitur pofito g — ^-^;»-*-»* _ 



mbfrp — nfr/>F-+-rcccF /» ../ / . -./ . . ", .,/ 



petuo in defcenfu corporis fupcr plano AB motus pro- 

 grefliuus ad motum rotatorium eatidem conferuabit ratio. 

 ncm : eritque in fmgulis locis celcritas corporis progrcfli. 

 "va Vv ad celeritatem rotatoriam Vu vtig-\-V (gg-\-k) 

 ad i feu vti k ad V(gg-\-k)-g , exiftente k—~. 

 Si igitur fuerit y _ | pro cylindro ob ib __r j erirg _ -^- , 



__ -i/ / i „ , V{ o mm — (- « m ?i _i_ r nrcl •< , / 



et y (gg-t-k) — — — — — -tHS/j -ideoque > v : 



Va_3/W-f-»-f-V(9;;;;;;-4-6w«-4-9«i/;): 4/;. Ea- 

 dcm vero hypothefi pro globo vcl fphaeroidc clliptico, ob 

 k~ | crit£ _ £=■£« ct V (gg-^k } = _-J_ ^™-*-*»™> 

 hiricque fiet Vv: V k _6///-+- 3 ;z ~|- V ( 30 ;;; w -|- 

 36;;;«-+- 49« n ): 10 //. Qiiod fi crgo clci.it, o pl.ini 

 fucrit angulus femirectus, crit /,_ — «; hocque cafu fict 

 Vv. V«_20: io__: 1. Globus igjtur fupcr plano ad 

 angulum femirectum eleuato ita defceadet , vt eius cele- 

 ritas progrefOua vbique duplo maior (\i celeritate rot.ito- 

 ria, fiquidem fit p _ J. 



§. 23. Perpetuo autcm covporis rotundi fuperplano 

 inclinato dclccndcntis celeritas progrcfliua maior crit quam 



celeri- 



