DE COCHLEA JRCHIMEDIS, 297 



C O R O L L. 2. 



42- Si cochlea in qiiiete relinquitur, vt fit £rr«i, 

 loco elementi d CP expedit in calculo relinqui elcmeiitum 

 tennporis dt et ob angulum cooftantem habebitur: 

 ^V^ + VZIZC -bzoi. $-a finJcof.(,Cj)+Y) 

 vnde raox nafcetnr motus vniformis, v — c— Z^cof I 



— ^fin.^cof (Cp-f-y) quo aqu.i per cochleam fluet, 

 fiquidcm fit ^>(^col. -^ + ^^finJcof (,(J)+y) 



C O R O L L. 3. 



43. Si cylindrus in fitu verticali fit pofitus ob 

 $=zo evk ^~;r^-h^—d(p[c-b); vnde fit 

 ^/.Cpzr^;^^:^,-^ et iiitegrando^^ft-^y^iiM 



— A tang. y7r(r~> ^I^J eft V -y rr: yTj, Cum aute^m, 

 fi initio fuerit Cp =: et 2; !=:<?, labente tempore aa- 

 gulus (P euadat negatiuns , perfpicuum eft, valorem quo- 

 «jue jpfius z prodirc negatiuum; ideoque hoc cafu aqua 

 non afcendet, &d defceiodet , qiiod qiiidem per fe eft 

 euidens. 



C O R O L L. 4. 



44. In cafu autem coroU. praec. quo b^c^ 

 dusmodi confiantem addi oportet, vt pofito (Pz=:o fiat 

 y vt:z~^ :=:co(.^V k, ficqne erit —^^ = tang. 

 Gw^, ■+- '-^ V '■■^') ■ progreffu autem temporis 

 fit Cp negatjuum, ideoqufi afcenfus penitus cefliit, curo fit-(p 



^ iAfj-c]Jin4' 



S C H O L I O N- 



45. AlTurRfi in huius cafu* integrationc, cochleam 

 initio fuifle aqua rcpktam , fiibitoqiie rotari incepilfe ; 



Tom.V,NouXoffl. Pp fic 



