A VIRIB. COELEST. PRODVCT. 227 



jo?>cof.«J+Ocof.(f>+Pcof< (p-%t)+Qcot((p-yt)-{-Rc(£(<p~ St) 



+^cof.((j)+^)+acof^+Y/)f5)tcof((p^0 etC * 



s~Mn.«M)fin.(J>-P fin.($-§ t )-Qfm. (<p -yt)-R fm.(<p-*0 



~yfm.(<p+%t)-D„fm.((p+yt)-mm.(<p-t$tf tC ' 



ac fa&a fubftitutione in prioribus aequationibus fiet 



-»Mn.^-»zOfin.(f)-(^-gjPfin.((J)-e/)-(w+§)^fm.($4-^)etc.j 

 +»£ — «O — » P — n$ C-o 



+ A +B + fB 3 



»kof.»r-«Ocof.(J)-(OT-e)Pcof.(C|)-l?/)-(w4-g)^cof ($+&) etc.7 

 — »£ '—«0 — » P — »^> £-0 



+ A + B + 23 J 



quae cum congruant , confequimur has determinatio- 

 «es : 



*~v ___ . p — 5. . r\ C _ „ D__ 



\J — m-+-7i j r n-+-m — gj \_ — n-i-m—yi ^ — n-+-m— J erC i 



<_, » . ^. (__ _ . cvj ___ 



d" — 7i_t-m-+-g ? 3*2, — n _ Hm _+-'y •) JV — «.^mT+T^ etC. 



ficque quotcunque fuerint termini haec integralia fa- 

 cile formantur. 



XXXII. His autem valoribus pro_v et z, in- 

 ventis colligimus fequentes formas : 



Xin.(p+scof.$=Mn.($+»;)+(P-g>)fin&+(Q r a)fm.v* 



+ (R-£K;fin^/ etc. 



^cof.(p-sfin.Cf)ztof((I)+»/)+0+(P+^)cof^~f-(Q+a) 



cof7/+(R+_K)cof<^/ etc, 



Ff£ 



ex 



