COMMENTATIO ad QUAESTIONEM MATHtMAilcAM. 57 



|/ V«* -}- dj-') ■= ~ fc'/(rs_ ' ^) — ^' tandem Superficies Sphaeroi' Jis , sive 



— Aa-.^rfxl/CC"*— ^^^^^^ + ^"*.)» " *• brevitatis gratia ponatur «» — i* = <r*, erit 

 J b 



= '-5'(|V(-^+/')-Y^°S. (* + VC**+/^))+/*Log.(4? + i/(:c*+/*);)(i> 

 = ^-^- (f ^C*- +/") + '^' Log. C* + l/C^ +/"))) + Const, 



T> •» fi»r rnn.t •- gy<?g/' Log- / _ ggc/= t,Og. / 



Posito X = o, fiet Const. = — —3 c= — ^^ - ■■ 



Haec si adjungatur et rursus substituatur f^ =z -^^ ent 



s = =-^^(^v/(-+/^)+^^og. c.+vc.^+/^))) - --ffll^ 



.A , ,, vac "2 1- 



= '-5^(-!v(«-+55*)+£-.Log. c.+vc^+ *p))) ^ 



= '^^(*V('"+r*)+ ? '■"s- <'+V('-+ ,t))) - " 7 '■''8 



= -(iv'(<=^ + ».) + ^: W. (..i+jA^ii+il))) _ '^ L.8. f 

 HestitBatur c- zz a- — b^ et ponatur * = *), erit semisHperficies Sphaeroidea 



*4. ** 



jr«c — Log. — 

 c 



c 

 b- 



S = 



(1) Cf. //<»»frf 0/. or. $. 3J4 et 233. P»g- la. 244 « '74« .i^- — i»t .j«q .9ti .^ ,»-.u.rid 



H 



