PERTVRBATI PLANETARVM. tf^j^ 



de colligitiir 



jfU dj^Dl . 



" H^ — • vv ^'ii-h^i.vj — v, — D/) 



clii acqu.uioiii diffcrentinli f:itis fit tribiicndo ipfi v 



eiubinodi valorem conlluucni , quo dcnominator cua- 



ncscat , v;.rum alio loco c ftcndi, hanc (olutioncm iii 



integrali admitti non pofTc , nifi illc dcnommationis 



fador euancscens ad minimum vnius fit dimcnfio- 



nis , vndc ncccffc cR , vt poft fi9.num radxale idem 



faclor occurnu g.niinatus lcu quadratus , vcl quod 



codcm rcdit , vt ctium difFcrentialc quantitatis pofl 



fi^iuim pofitiie cundcm iiuiohiat fadlorem. Pofito 



ergo hoc differentiali mo , fit vzr^/' qiiare cum 



per hypothefin cfTc debeat V — dy erit/rzzdf, quo' 



cafu ipfe denominator fit {'^-^(l)aa—^'Da nihilo 



acquandus , ita vt fit D rr ;(9r -+-(!!) tf. lam in al- 



tirutra acquatione f^atuatur v— a ct d0~(/r , crit- 



que tfV/r'-a(5{+(i>r//' fcu cidr = '^-^^. 



. XXII 



Cum igifur ob motum iflum cognitnm nd^ 

 datum quoduis tempus / innotcscat motus mcdius r, 

 h'c loco tcmporis in nofirum calculum introdiice- 

 tur , fi mo.^o \bique loco adt fcribatur valor rr.o- 

 do inucntus ^-i^\. Statuamus crgo ad nofiras for- 

 mulas fimpliciores rcddcndas primo gfipg; =: w , dein- 

 de B=:n(AH-0, vt fiat adi\A-{-C;=:ma'dr* 

 et aBd[^ — mna*dr^ vbi notandum eft , pcrtVrbi- 

 Tom. XlI.Nou.Comm, V tiouwS 



