32 INFESTIGATIO CFRFAR, QJ^AE EFOLFTAE 



qune quidem formulae iam fufficere poflent ad curuam pcr 

 quadraturas conftruendam ; at conftrudtio facilior inde eua- 

 det , quod fingulae hae formulae difFerentiales adtu inte- 

 grationem admittant. 



§.51. Singulas autem has fbrmulas diffcrentiales fe- 

 quenti modo integramus : Jdz cof A z. fin. A ^ — fin. A ^ 

 fin.A Ir - Vnf^^ ^ia- A^ cof A y^ =:fm. Az fin. A y^ -H 

 ^ cof A 5; cof A ;^ -f- jiJdz cof A zCm, A~', Ynde oritur 



.j rK r A X nfm.Az.rm.A^^Vn.coi^.Az.coCA'^ 



fdz cof A^jfin. A ^ =; ^— ^ 



' . " n—i 



at cafu quo w= i , quia eft cof A 2;. fin. A z 1=1 1 fin. A 

 2. z erit Jdz cof A 2;. fin. A ^ — - ^ cof A 2 z. Deinde 

 pari modo eft Jdz cof A z. cof A ^ = fin. A js cof A ^ 

 -+- ^dz. fm.A5;,fm. A^fm.A5;cof A^ - j- cof A fm. A 

 •^ H- ^/^2 cof A^; cof A ^. ergo /^5; cof A^; cof A ^ 

 _ n fm . A^ cof A ^ - V^ . cof A^. fm. A. ~ ^^^^^ ^^^ 

 ~" «—I 



tem quo «m ob cof A^ cof Az-zz: i±S°J-±^ ent 

 Jdz cof A 5; cof- A^ =3 ? 4- i fm. A 2 ^. 



§.52. Reliquas formulas fimili modo integramus ; eft 

 fcilicet fs^^dz fm. A ^ =^^ fm. A ^ - ^Je^^dz cof A 



^ =:.- fm. A Ir - £ ^^^- A ^ - „^/^ V^ fm. A ^ , 



r,- rz^ r A 2: wf'' fm. A ~ -e^^Vn. cof A -^ 



hmcqueJ^V^fm.A -r^ zz: — ^. 



w-f I 



At Je^dzcoCAi —e^ cof A^^ -^infi^^dz fm.A ^ rr 

 2£lco£A^^^V^^^^ Deinde fimili modo 



