cnlm eft vl/ r: cj -+- ^ ,• tiim vero af fin.Cl) ~ ^ fin. ^i dcniquc vero 



inucnimus yi/ — f — ^-^ -, cuius opc prinio cx 



anguio v[/ rcperitur angulus ^, hincque porro angulus (^ ex 

 formula fin.<p- " fin. ^, ac tandcm wrvj/ — ^. Ex his igitur an- 



gulus (u — CP), per qucm quantitas 9 cxprimitur, crit =:v|y — C|) — d. 

 Hunc in fincm prolongetur rcda ZT in S, et quia anguhis 

 CT S =0-+-(p et CTUrv[/, erit anguhis UTS-^H-Cp — v|/, 

 ita vt idm fit q — — cot. I U T S. 



§. 31. Quo banc formuhim Riccatianam fimphciorcm. 

 reddamus, ponamus c^:i.zna^ vt prodeat 



dq-\- inq^\\jf\\\.\\^-\-nqq^\\/Cof. v[/~«3v{/cof. v|/, 

 quam vt ab anguhs hbcrcmus, ponamus cof. v|/— j-, ira vt 

 fin. vl/—-/^! — JJ"), critque aequatio 



dq — ■ 2 nnds — ^n.i^^' — — ^^^^ , 

 ' ' r {i — s si V(i — XI)' 



vel fi ponamus fin. vp — r, prodibit haec forma: 



dq — zJLILU: -\-nq qdr — ndr. 

 Quod fi ponamus q — v -{- — -^ — , prodibit ifta acquatio: 

 ■:\ . , -^ D -^ nrr?r znyr7)r 7) r 



i—rr y , \-rr) {i — rrjl 

 cuius crgo rcfohitioncm ope nofirac Tradoriac expcdirc . Jicet. 



§• 3-. Rcducamus candcm acquationcm tantum ad 

 terno^ tcrminos, poncndo 7 — ^— '•'" — '"'■! 1;^ ac pcrucnictur ad 

 hanc formam : 



7) V -l^ n ^--ai'(i-rr) ^ ^, ^ ^ — „ gzny\^ — rr\ ^ ^ 



quac porro, poncndo /(i— rr)~.f, induct hanc formam: 



