aoH cit major m ^ gaudere iumraaroria nujus 
y»{ASQ,fCD -h c .f 9 Cc.f^+^"Sc., 
•4- Sc.fcp ^Cc.f!:f) &c. ufque ad C c c f » Hoc 
dicendum eft plerumque de hyperbolicis ^ in quibu; 
jf</(|)hli.^c^ Ch.f(p hujus formae gaudeE fummatorfs 
'^A''bh,q(i> <^h,q(p &c. efqce ad C h . f 9 . Verum ad« 
funt cafus excipiendi , quos in poilerum cafus exceptos no'* 
minabo , quorum integraiia formam hanc non habeo£ 5 feu 
potius fuperaddunt termmum B r'^-'^ pracdictx formuisejin 
q.ua fupereil aliqua indeterminatio . Si iinus, & cofinus ha-» 
beant dimenfiooem linearem , cafus exceptus habetur, quum 
j- = di ^ , ubi valet theorema jf.(^:Sh.f(]3 + Ch,f9 — 
bi fumma expooeBtium fmus & cofinus — 2 5 cafum exceptum 
dat^rrit 2 f jubi valet theorema^ ,(ijiSh»f(^-+Ch.f(|:) ~r n 
Ex his non levis nafcitur conjedura , pofita fumma expo«» 
nentium — 3 , cafum exceptum fore g — Z^iq^ & theore* 
^ — « 3 
ma valere jy.(zfSh.fH-Ch,fi^ & generatim pofita 
fumma exponentium ~ m , cafum exceptum eife g — ^Hm q^ 
& theorematis aequationera y . ( ijiS h.q ^ +C h. qcp =z r"^ , 
Sed conjeiftura hacc per calculum comprobanda videtur . Prac- 
terea dubitari non injuria potcft , utrum cafus ilH excepti fint 
foli , an ahi quoque in superioribus dimenfionibus fint exci* 
piendi . His de caufis pcrmotus agendum mihi effe judico de 
formuhs , in quibus fumma exponenfium finus & cofinus — 3. 
Calculum inllituam io fohs finibus & cofinibus hyperbolicisj 
quia in his dumtaxat habentur cafus excepti . lile poterit eam- 
dem methodum circularibus applicare j qui hoc aut utile ^ 
aut neceiTarium effe arbitretur. 
X. Proponantur integrandac formulx differentiales 
y ^Cp »^ h , q ^ ,y ilCp ,S h .q ,Ch,q d (p,S h,q Cp ,Ch.q Cp 3 
y d cp » Ch. ^(p . Quatuor sequationes efformo difFerentia 
quatuor terminos S h . ^ (p^, y . hh,q(^ . Ch, q (^^ 
y.Sh.^9*Ch.f(|),j/. C h.qip hoc modo 9 
