DE COCHLEJ ARCRIMEDIS. 287 



4.". Deiiide vlterius crefcente hoc angtilo \\j , q^ii 

 ^unc d\ :z:iP-— c, valor ipruis V iterum decrelcct, 

 et qiuindo fit v^/ == loS", 36^ 13",- 56"', 22'v,,efit 



5". AnguliiS' autem vjy vltra' hunc rerminum crefceie 

 p_erget, et quia tum- ^v}y>fin^, erit Vz=:fin.^' y(^-;;^ 

 (i\|/— fin. >4^)) et Vv — .^(^ - . ValoF ergo ipfiiis V 

 eontinuo fiet minoi-, indeque etiam celeritas V v , donec 

 ftat I v|y — fin. v|y. ^ ^ , quo cafu erit V-y =- ^^, 



<5'°. Tum autem hic angulus \}y, qui maior eft quami' 

 108*, 36^ ittram decrefcet , fietque l/ v — ^h^ 

 exiftente- V — fifi.^^y^^'— ««(sv^^fin.xl;/)); fieque cc- 

 leritas V v decrefeet , et quando fit \|y rr 108° 36', 

 prodibht V=r.fin.^'V/fe et Vv — cof.^Vk , quae aequa-- 

 Ife eft' celeritati initiali. 



^mo porro angulus >4^ infra hunc terminum decrefcet^ 

 et o'o fin.v}y>ivp, erit V:zfin.^!y(^4-w«(fin. vp-iv^)) 

 et y^y — ^J^-^: et quando fit v{y— 5o, quo cafu 

 Talor ipfius V erit maximus -Cm.^^Vik-^-o^^A-^^z^^yna)^ 

 et celeritas globuli minima y^— ^^^- ^'"• ^'^(fc Hy^,^^)^ 

 Nifi ergo fit Vk^ fin. <^' y[k ^- o, 3 42 4. 2 6 7 wtf) 

 ihuk^^^^^r^tf^, cuit. fit H 2^£±-_|£^c^r«^f. 

 globukis ant^quum ad hunc terminum peruenit , : regre- 

 dietur in helice , propterea quod cius celeritas y-y iit 

 ncgatiua. Reu^rtitur ergo globulus, fi fit k<^ °'V^fi n7p''y 

 nbtt autem reuertetur, fed perpetuo per cochlcam pro- 

 gredi p^rgef, fi fit fc> °''' ^ ' ^^l y^y r^. Qiiia autem 

 ©ffe debet k <^ 2ii±.ils±^lJ2liSL{!±i^ mamfeftum eft, hunc 



cafuosi 



