«78 DE COCHIEA ARCHIMEDIS. 



ciierierit, tiim fij;ui illiiis radicalis valor uflirniatuie erit 



atcipiendus, 



^i,..,, C O R O L L 3. 



S3. Q.icwiiam autem ab initio iuigulus decres- 

 cit tam diu, donec valor (juunrit.itis illi. s radicalyj 

 euanefcit, eousque dp \ltra a dimiiuietur, feu trit Cp<^ a: 

 Ponatur ergo <p — a — \|/;' Vt fit 



Qoi:.^Vv-Vk^~y{kC\n:^*-^acoi.^'&{'-oi:a-co\:.(a-\\j) 



,^ a:^ Cm ^coC^coi. ^) 

 ficque auamdiu augeudo valorcm ii.fius v^j.ifta qiianti- 

 tas radicalis realem retinet va!or.rTi, tamaiu gl/'bulus a 

 motu cylindri in plagam Pe A abjipii.tur ; nr..ue prius 

 in plagam contrariam motum fuLim. ve.ut, quain vbi 

 \j^' eousque increuerit , vt fit 

 j|fiiY.<>:^f^cof|*fin.^(cof;a-g 



C 6 R O L L -j., 



24. Qiii* autem augendo \{y cxtremus terminns 

 continuo crelcit, medius vero qui e(t negatauiS-tf cof. <^* 

 frn. ^ (cof (a- v^)-cof a) tamdiu tanium crekit , qnoad 

 fiat vj/ :— : a, feu Cp— o, manifeftum eft, ^iifr formula 

 illa in nihilum abeat, antevjuam fiat vjy — a, eam nun- 

 qnam effe euanituram ; globukimque continuo cclerius 

 lecundum motum cylindii gyratorium abreptum id, 

 Hoc ergo cfl(a pundum S coutinuo celeriib in plagam 

 3EA conuertetur- 



C O R O L L $, 



25. Si ergo quantitas ifta radicalis ponatur n: V, 

 n fit cof.'^ y ^ ,^ V/: rz ^ V, feu V^ ir ^^^, ob 

 Talorenj ipfiuj V hoc cafu coutinuo crefceniem; ceie- 



rlt;i6 



