PERTVRBATI PLANETARVM. i^i 



fiii. w<7. ■vi'd(p-\-d(ji coC'j).vvd(p—-a.B-LUt/iX{in.(TCmMcoi\ 



vnJc concliidimus : 

 drVvd(p—-oiBvudi\i\n.'TcoC[$-\]/]-coC'TCof.(:)([nX^-^)) 



fc u </. f v f/cp — — a B v' udi^fm.vi^ — ^) 



quac cll: altcra dctcrminatio , quam quacri opor- 

 tcbat. 



XX. 



Poflremam hanc aequationcm multipliccmus 

 pcr 2v'v'r/(P et, integrali (altcm indicato, fict 



r/ti(p' - - 2 a B dt'fvud(P fin. v{^j - ^) 



qua acquationc rclatio intcr angulum clemcntarem 

 r/cp ct tcmpusculum dt continetur , vbi quidem 

 manifclhim cll , li maflli corporis perturbantis B 

 euancsccrct , futurum cfTc v' d<P tempori dt pro- 

 portionalc , fcu arcas circa A defcriptas tempori 

 proportionalcs. Ad hanc aequationcm fi adiungatur 

 primo §. 17. inucnta , paritcr intcgrata quatcnus 

 fieri potcrt crit 



dv^vvd(p'-^(f.dt\k-\-C){'^-'j)-:La.V>dty~ 

 + 2 a B dt^fu {d'V cof (x - 1' ^Cp fm. v) ( ,-7, - ^f, ) 



qunc aequatio infupcr variationcm dilLintiae v cum 

 elcmcnto t/Cp vcl tempufculo dt comparat , quac 

 duac rcs proprie ad motum corporis Z iu fua or- 



bita 



