-S^.^ ) 3^4 ( 



§. 7. Quta excentricitas tam telluris qnam Ve- 

 neris, eft valde parua; fepofita confideraiione illius ele- 

 irenti, fiet u — a=i et d (^ — d t hincque d d (^ zz o ^ 

 ficque noflrae aequationes in iftas abibnnt: 



' ddu'-2dldt'-U'dt^ = -i-^.u'dt^-^^^^^^''^- 



ddp + zdu'dt = -f'^^-h^J^-'-^, 



Siue 



ddu' - idtd^'-^u*df — -\5df et 



^ d(^ -\- 2 du' d tz^ — V df, pofitis nimirum 



1 co^. P i_ I — -y cof. P «r V — /'"• P "vjin^ 



— -+~~ 1 ^r CL V — ^j^ ^yj j 



\bi haec denominatio V, cum ifta priori maflTam Veneris 

 d^notantCy non eft confundenda, 



§. 8» lam fgitur flatfm habemus pofteriorem ao- 

 quationum propofitarum integrabilem, quippe quum fit: 



d(^' -+■ s. u' dt = -dtfV dty 

 du(fla igitur hac aeqnatione in 2 d t y eaque ad illanr 



d du'— z d tdp —^u^df = — \J d t\ addita, fiet 

 ddu'-\:-u'di^ = -i.dt'fVdt-\]dt^-y 

 haec aeqiiatia vero fit inregrabilis ope binorum multipli- 

 catorum cof. ? et fin./. Et integralia habebuntur: 



du' cof f H^ aVf fin. ti=: — dt/U dt cof. f- sdrfdtcoCtfVdt ; 

 d u' Ciw.t —u'd tcoC. t zz — dtfUd tCin^t — zd tfdt (in. tfVd t, 

 Quare dmfla priori acquatione in fin. ;,, pofteriori in cof.f, 

 earumque capta differentia, confequemur denique hanc 

 aequationem : 



i^— _ Cm.tfUdt coff 4- cof f/Urt^rfin r-f- zcoC.t/dt dn.tfVdt 

 — 2 fin. tfdt. col. tfV dt. 



Quum 



