g^4 I^ E I\l O T V 



tur cx formula /^f- fi hic loco S Ccribatur S 4- v, 



erit 



uis — ildh~^'ds ' ilds' 



Poniutius ergo breuitatis gratia ^-^ — U , quae erit 

 fundlio data ipfius S, vnde fit amplitudo Hr A^-'^"'^^'. 

 fictquc nollra aequatio : 



cc\ dt- ■' '-~ ^dS^ ' "^ ^ ^Us' ~^ dS TdS Q.dS 



qiia refoluta erit pro motus detcrminatione : 



qula eft o) z= XI -|- ^ = A ^J'^'*^ (i + U -y) 

 deinde celcritas y — C~) et prefllo /> = ^. 



C o r o 1 J. I. 



79. Totum ergo negotium Inic rcdit vt cx 

 aequatione difFcrcntiali (ccundi gradus inucnta inue- 

 (ligetur , qualis fundlio fit quantitas v binarum va- 

 riabilium S et /, Tbi quidcm oblcruo binos tcrmi- 

 nos nollremos — ^^ — ,^ refolutioncm non im- 



' a d S Q_d S 



pcdirc quoniam fundioncm folius variabilis S con- 

 tinent. 



C o r o ] 1. 2. 



80. Conditioncs autem , fub quibus acqiiationis 

 inuentac intcgralc complctum crncrc licct opc mc- 

 thodorum quidcm adhuc cognitarum, ab iudolc tundio- 

 nis U, qua ca pcr variabilcm S dcfinitur pcndcnt. 



Pro 



