io6 BE FARIJTIONE MOTVVM 



fiue 



(D M xD B -4- D N xD B- 2DMxDN) ^Dr=DMxDBx«R 



Demonftraui autem poft Hugenlum in Comment. Tmi. II. 

 *' pag. 213. " fi magnitudo eadem nunc breuius nunc 

 u longius fuspenfa agitetur , fore vt diftantiae axium ofcil- 

 u lationis a centro grauitatis fint reciproce proportiona- 

 " les diftantiis centrorum ofcillationis ab eodem grauita- 

 u tis centro , u vi huius propofitionis eft 



^M;DM-NM:«M, 

 vnde 



^D.DM = «N:«M; 

 hinc 



n N __ dm 1 

 hocque valore fubftituto in fupenori aequatione emergit 



DMxDB + DNxDB-2DMxDN=:«MxDB 

 vel 



DMxDB-HDN-;/M)DB = 2DMxDN 

 vel 



2DMxDBzz2DMxDN, 

 feu denique 



DN-DB. Q; E. D. 



SOLV- 



