= (93) 



fpondcnt , pro fcquentibus angtilis fcribamus r^, v'; ^^ V^'i 

 t^^\y^^^, ctc. qiiibus notatis pro fingulis w, w^ w^^ w% etc. 

 colligantur cx formilis fiipra datis: i) omnes valorcs ipfius 

 r, qui dnt R, R^ R"', K''\ ctc. 2) valorcs ipfius j, qui fmt 

 S, S', S ", S% ctc. 3) valores ipfius r, qui fmt X, X^, X'\ 

 X% etc. 4) valorcs ipfius ,y, qui fint Y, Y^, Y% Y^ , etc. 

 5) valores ipfius r, qui finr T, T", T^^ T"'", etc. (J) valo- 

 res ipfius />, qui fint P, P% P'^ P% etc. Hincquc folutio 

 problcmatis complcta coatincbitur fequcntibus formulis: 



1». r = R -H R' -f- R"' -V- R''' H- etc. 



z\ s = S-^S'-^S''-^S'''-^ etc. -+- A , 



3°. ^ = X -+- X' -+- X'' -^ X''' -H etc. -+- B , 



4°. j' =n Y -H Y^ -4- \'' ■+- \"' -H etc. -+- C , 



5». r — T-f-T'-^T'''-+-T''^'-f-etc.-i-Ccof0-+-Bfin.(p, 



6\ p — ? -^V'-^ ?"-^ ?"'-+■ etc. -+- Cfin.C|) — B cof C|), 



vbi littcrae A, B, C, dcfignant conftantcs pcr vltimas inte« 

 grationcs ingrcflas. 



I. De CLiruls 

 quae fuis euoluris primis flnt fimiles. 



§. 30. Cum hic fit ;; =1 I , formula principalis refol- 

 yenda erit X-+-a = o, vnde vel X zz: -f- a, vcl X =: — a, ita 

 vr fufficiat altcrutrum tantum horum caiiium cuoluere, quoni- 

 am alter inde nafcitur fumto a ncgatiuo. Cum igitur fucrit 

 rznce''^^ hoc cafu habcbimus r zzzi c e'^ -, qua ergo aequa:io- 

 ne inter radium ofculi r ct amplirudinem Cp natura curuac 

 quacfitae iam pcrfccte cxprimituri neque opus ert apgu'um u, 

 qui hoc cafu forct ~ o, introduccrc, quia hoc calu fatftor 

 formulac gcncralis X" — a"* tantum ell firr.plex. 



M 3 §• 3'' 



