fi hio in denominatore pro p fcribamus eius valorera 2—7*, 

 ifta pars erit per folam variabilem q ita expreffa: —^41-^ • 

 Simili modo altera noftrae formulae pars — IMJiA^, fi loco 

 d w fcribamus valorem -»- ^, induet hanc formam : — Ip^^t * 

 Hic igitur loco q'^ fcribatur 2 — p^ ac pars ifta iam per fo* 

 lam variabilem p exprimetur, fietque — -j-^Pl-^, confe- 

 quenter xpfa formula propolita redufla eft ad has partes: 



3 y — 2 ppdp 2qqd q 



I „ ^4 I _ q4 ^ 



quae non folum funt rationales, fed etiam binas variabiles 

 p et q penitus feparatas inuoluunt. 



§. 's. Ad integrale igitur inueniendum notetur effe 

 —^;^ = J- — -~— j vnde erit prioris partis integrale 



p-PPAP — / -ft^ —f^±- —lll±P-^A tang. p , , 



eodemque modo altera pars erit 

 pi^^^ = I i 1^^ - A tang. , . 



quamobrem totum integrale quaefitum erit 



V = iii^-iZJ-±i + Atang.q-Atang.p. 



§. 6. Reftituamus nunc loco p et q valores affum- 

 tos, fcilicet /9 — S-t-2 et 9 — -'^5 eritque 



V = l l2dLl±l-ll Z±l:z^ -h A tang. l^ -A tang. ?^', 

 vbi cum fit ' ;:= V ^ 



A tang. a — A tang. b zz: A tang. ~—^ , erit 



A tang. ^-^^ — A tang. ?^±i^ = — A tang ^^ . 



Deinde etiam logarithmi inuicem combinari poffunt et re- 

 fultabit i ; ^ -J 



y — I J (T;-f-i-f-g)(i;^i-r4^^a{) ^__^ _^ tang, 2"^« . . r i / lIRtl 



Qiiin 



