ANALYTICAE. Cj 



f 7. Qiiod fi crgo fiimamus q~pi ob 

 fin. p I X co(] ^ Ix — ,Cin. i p I x , 

 prodibit ida integratio : 



U^ fin. 2 p /.t =1 'i A tang. 2 p , 



id qucd prorlus conuenit cum theorcmatc primo ; 

 at vero etiam ingencre ad Tlieorcma primum rc- 

 duci potcft : Cum enim fit 



fin. <7 coli b — s fia. (a -i- b) -\~ ^ fin. {a — b) , 



formuh nofira in has partes diuiditur: 



i/f^ fm. {p-^q)l X 4- i/fl fin. {l>-q)lx. 



Prioris igitur partis valor erit ex theorematc 

 i A tang. {p-\- q) ^ 



poftcrioris vcro paitis 

 — i A tang. (p-^) , 



quae (orma vtique reducitur ad eam quam hic dedimusi 

 §■ S. Nunc autem integrationem noftram ge- 

 neralcm 



aliquanto gcncralius ad angulos rcdncnmus , poncndo 



vt fiat 



A-«-.i«-.v'"(a''-^-'-A-'' >'-')-- 2 V-iA-^fin.r^/A-j 

 tum vcro erit 



tt-t- I • -4- m _4- n V — I 



C -(- 1 I -t- 17) — n V — 1 * 



quae ^raclio pofito «— it(w+i) reducitur ad hanc 

 1^,^;Z:. Ea vero 



^^.JZ-^^^^^^-iAtang./^^iV-iAtang.^. , 

 -. Tom.XA.iNou.Cumm. I fic^uc 



