DE COCBLEA JKCHIMEDIS. 177 



(prra. Ex hae ergot aequafione' integrilr viciflTm' M 

 diitunr tempiiS' ang.ilc w expreffum, reperitin? angulit» 

 (p , ex eoque porro locus- globuli in helice , feu portio 

 EM — j^ r:: °' Tof. f^ > eiusque infopec celerita» relaF' 

 fiua in lielice y v lcilicet 



y« — 1.^- y(£fin. ^*tang.^'-h«fin.d>r.a-cof.(^>^ 

 -ir a (a-(D) tang. ^ col. $> 



C a R O L L r. 



«r» Expreffio co(. ^ Vii — yk- defignat ceferita- 

 feTra veram; pundli S in bafr^, quod globula m M re-- 

 ^ondec Cum' enim giobulus xtelocitate Vv in lielic©. 

 fecundum MN progredi poncUur, erit eiuB celeritas an- 

 gularis circa axem. :rx cof ^. V v ,, refpediu Iklicis y, quia; 

 autem lieljx ipia im plagam oppofitam~' conuertitur cele-- 

 jritate — V k, erit; ver* globuli celeritas rotatoria ,- feu? 

 »otu9 quo punduna S a iujnnaitate A iecedit — col, ^ 

 •Yv-.Vk. 



C O K O L L fi. 



s-£. Ipfo aufem motus ittitio, quo y-yrrcoC^V^;;^ 

 ftaee celeritaa erac negatiua,, fcilicet — (cof ^* — %)) 

 yk-i. — 'fin. <^' Vky ftatim ergo ab initio- etiam- • nunc" 

 eric ncgatiua; len angulus ACS— :Cp diminuefur,. qua«^ 

 cfli rutio-,. Gur c;ilculaS' pra coC^ V <y — y fe: valoren» 

 fraebuerit negatiuum 

 tof ^Vi>- y/i-r-- y (/kfin. ^*+ ^ cof..^ fin. $(co(. a- cof.Cf))/ 



-i-^ ( ct — 4)); fiuv ^ cof ^ coi: 0). 



Hic ergo^ vaTor' in- aiSrmaduum abiie,, fea angulus» 



ACS^Cp augmenta c;>pere nequit,. nifi: poftqiiam fiie-- 



we cjtiatHitas- tlla radlcalts rn o.. Pofliqiiaw autem; hoe 



M m $ eue:* 



