14» DE METHODO 



denotante V fun(flionem quamcunque vniformem ipfa- 

 rum fin.Cp et cofCl). Hoc modo pro omnibus curuis, 

 in quibus fubnormales fucceffuiae PQ, O R, RS etc. 

 funt inter fe aequales , prodibuDt fequentes coordinata- 

 rum determinationes : 



1 CP _, f(d0-Cd$-dV 



^ 2Tt 1 ♦TTd t 



nO , f^dcD — cf dO) — fdv cJ^j-^-v 



yy — 2U "f" 2itdt ~«~ 27t 



Ynde differentia inter quadrata cuiusque normalis ct ap- 

 plicatae fequentis exiflit conflans. 



20 Pofita igitur abfcifla AP — r, cum fit 

 p p^tfii^ v_^tll^X^-_Ii^^^ erit,ob P(^r/,. 



_ ,« ,.n-f f-f-f f di-HC^-t- V f »d(|) — c; d (p — f dV 



Pofito autem 1%-^-^ loco <$) valor, ipfius Pl* abit 

 in Q^K* , vnde fit 



^ y. » nftf-t-2TtC-HffJ)- t -C(tl-f - V f^dd) — Cf d$— f dV 



Vil^ 2 7t "~ "T- jTdt 



ideoque Q^IC-Q^r=:C. Cum igitur debeat eflc 

 QK* = Qr-l-rr, capiendum efl: Qzz-cc, vnde folutia 

 ad problema propofitum accommodata erit : 



tJP _, (f f — cc)d t}? — d V 



* • — 2 7f 1 + 7r d t 



( f f -t-ec )$-H V f (f f — g c)d{I; — t dV 



y y -^ 27f ~T~ 27tdt 



■?bi pro f et V fundiones quaccunque vniformes quaa* 

 titatum fin.cp et cof C|> affumi poffiint. 



21. Si ex his aequationibus ipfe angulus (p eli- 

 ininetur , obtinebitur haec aequatio : 



,., , ^^» fV , (ff — cc )«d$ — (ff — cc} dy 



ex qua fi quantitates fin. Cp et cofCj) hincque ipfe an- 

 gulus Cp definiatur, eorumque valores in altera prioruai 



aequa* 



