t9 DE REDVCriONE LINEARJ'M CVRJ'ARrM 



1A\k~qdv: ■vnde aim fit ^mznds erit ds—dpC\a. 

 v~\-{]dv. Hubcmiis crgo qiiatuor variabilcs /), ^, j et 

 c, qiianim rclationtm dctiuirc oportcbit opc tiium ic- 

 queniium acqiutioniuii : 



II. dq—dp co(. V 

 III. ds— dp fin. v-i-qdv 

 Confultum autcm \idctur binas \ariabilcs /) ct ^ climinn- 

 re : qucm in fincm ponamub j~/"j, vt iit : 

 I. ^t=z-p-\-q: 

 II. dq=idp coT. v 

 III. /^-j-h vdt~ dp fin. v-^-qdv 

 quarum prima dat q — 2t—p^ quac diflR.rcntiata pracbct 

 dq—2dt—dpzzdp cof -y^ vndc fit dpz:z ^^^J^ ct tcrtia 

 acquatio abibit in : 



/</-j-+-':'^/=i^q^r. -4-2f^t— p^r, fcu 



pd^-- tdv - r ^/ -+- ~:-. 



Diffl.rcutictur h;iec dcnuo polito dv confbntc , ct pro </^ 

 cius valores j^^r^v liibdituto habcbiuir ; 



— — — vddt — r- -\ r- 



\nde fit ddt — o: dtzz.adv^ ct /~t>-j-^rv. ConftqiTen»- 

 ter Jz:i/v~Z''y-htfw: quac clt ae(]uatjo intcr arcum s 

 eiui^pic amplitudincm v , c]iiam liipra (15) uatinam cur- 

 vac cx cuo^utiniK circuH n.Jtac cxpnmerc vidinub ; ct 

 qr.iac, fi az-O^ ad ipfum cll circulum. Vndc problcmati 

 nuMac a'iac (ati-ficuint luKac practcr circuliMn ct cuinas ex 

 cuolutiouc cucuii uaui. (^ li. 1. 



CorolU 



