23« r> E M OT r 



bnecque, pofito tang.'^— /) et tang.i-y) — ^, porroqiM 

 ft^— r et ^rrj , abit in hanc fornnam : 

 GGtr+j/-t-2G(A+D)(r-j) -8EGrj+(A4 D)' ^ 



4-2G(A-D/j(.r'j) -2(AA DD)rjj.ro 



+ (A-D/rrjJ 



qnae efl ergo neqnatio integralis compkta , huic ae« 

 quationi differentiali conueniens 



fis 



yrtA-J-D-t-jE ' — lA — D)rr) VSi— A — u-i-2 i^i-h^A—l>}is} 



qnandoquidem in illa noua conftans arbitraria G con- 

 tinetur, 



42. Vt genernliter in talem aequntionem integra- 

 lem inqiiiramus , ponamus breuitatis gratia 

 A-(-B A— B „ „► D , 



Tt aequatio hoc modo imegranda , Cquidem id fieri 

 poteft , fit 



dr tJj 



Vr(ff.-J-'J-Hr — {^n — k^rr) Vs( — n — k-t-s-i-in k]s!) 



cnius integ!-;ilcm in hac forma contineii hnganiub : 



-i-2£rji-i-^rrjj — o 

 tnde deducirrus : 



—a^r— ;g)rj— atr5?— S I-;P5— V» 



— itis-t^rs Qrr s -91 ^T>r-grr 



^ ^ — y-t-~i ti -Hgrr • 



Tum vero eft diffcrentiando : 



<^r(^4- (£r-i-^.f-4-2^v.f-4-e JiH-gr j j)+^j(f3-}-yj 



43. 



