) ^97 ( ^!^-*- 

 Relolutio aequationum tertii ordinis. 



§. 2.6. Binae aequationes huiiis ordinis ita fe 

 habent: 



"•^+Vr = 3pQ+3^P-6/,PP + jp-N. 

 Cum igitur iam inuenerimus 



P - cof. 0, /) n: - 2 fin, 0, Q ::= - ^ + ^ cof. 2 ^ et 

 ^=:;rm. 2^ 



per notas redudiones angulorum , quibus cfl 



cof. a cof. ^ z: ! cof. (a - (3) + ,' cof. (a + jS) 

 fin. a cof. p r 3 fin (a - pj -f ^ fin. (a + (3j 

 fin. a fin. (3 - " cof (a - f3) - ^ cof. (a + (3j 

 cof. a fm. |3 3 l fm. (a 4- ^) -- i fm. (a - p) 



colligimus pro priore aequatione 



PQ---;cor.e-4--:cof. 3 0, /'^ — -!cof.^-f:cof.3^ 

 P^ - : cof. + ^ cof 3^ pp^ — cof.Q- col. 3 , 

 hincque cc^lligitur 



M = - ^ cof. + V cof. 3 0. 



Simili modo pro altcra aequjitione erit 



p(l-l fm, - ^ fin. 3 ^, ^ p - 4- ; Hn. 4- • fm. 3 ^ 

 /) P P := - : fin. - : fin. 3 e, p' =: - 6 fin. + 2 fm. 3 , 



Ynde fit 



N3z-^fin.e-f-';fin. 3 0. 



§ 27. Hic literae M ct N itcrum ex dua- 

 bus condant partibus , pro quarum prioribus ell « rr i , 

 pro pnfierinnbus autera « :rr 3. Prioic autcm cafu formu- 

 lae fupra datae fiunt incongrwaep .\-£vde hunc cafum leor- 

 lim euolui conueniet. Sit igitur .- 

 J^a Acad. Imp. Sc: lom. II. P. IL P p -dir 



