CENTRIFUGA CORP. SFHAERICI &>;. 153 



Euolutiones quorundam Cafuum 

 Ipccialium. 



§.13. Si fphicra lic homogcnca, adcoquc 



f—^—o, tiiuquc w-i-riizf, eric in cafii prinio, po- 



s 

 fitifi—i. Vis centrifiiga =.p{jacr^-\-^^), ct fi 



jj—Oj crit vis fphaerae znp.j^ar'^. Sed in cafu fc- 



cundo crit, pofita ;/— i , vis centrifuga —p.^ai,!''^ et 



pro ;/— inducet formuUi in Loguichmos. Vis 



autem fphacrac in centrum grauitacis coUccflnc, fa<fta 



nzri, erit —p .yar'^ y et pro ;;zzo, fiet — /).-|rtr'. 



Si fphaera concipiatur diuifa in duo hcmisphae- 



ria §. I. fic, vt f—gj dabit cafus primus §. 5 ct 6", 



pofita «—I , vim fphaerae centrifugam —p(^acr^ 



pro n-o, vim ii:/>(=£i-4-|/(r'^-f/>=-|Z(.-_f-; •=;'-). 



Cafus autcm fccnndus §. 7 et 8. dabit , pofito jm^i, 



y\m —p{jULr^-\-^fr'^), ct, {di—o, inuoluct Loga- 



richmos. Vis autcm fpiiacrae huius in ccntrum gra- 



uitatis coUedac, pofico ;j— i, crit — /)(.j;/a*'-l-^/;'''), 



3 22 



ct pofito nz=:o, crit — />( 2^^-4-i^lj£ ). Si fucrit 



.V— ^r, et ^'^i'- in §. 5. 5. 7. et 8. erit g—^^f, vt 

 fphacrac compofitae ct homogencae fit eadcm gra- 

 uitas. Fiat ;;— i , eric §, 5. ct 6. vis ccntrifuga 



=z/>(,]^o-3-^_^^_^;.^-HJA/(.=_H.-r-H=)^-l-^,/:* 

 Toir.. IV. V cr- 



