SE INVICEM PERCFTIENTIFM, 2.1 



Yelocltas , qiia piindum in periphcria circa centriim gy- 

 ratiir, —~^v^ vis Yiiia gyratoria :=z-;^^ij^y^vvM ^ 

 (Prop. IX.), ^is viua progrefliua —vvlS\ (Prop.Vll); 



... aa-\-aah-\-\bb ,, 



fumma liarum virium viuarum ~ — ; vvm.^ 



{a-\-by- 



qui valor idem eft, quem antea pro vi viua ofcillato- 



ria inuenimus. (Prop. VI.) 



Corollarium. 



■ XI. Licct adeo in globo ofcillante duas vires vi- 

 uas, nimirum progreiiiuam et gyratoriam feparatim 

 confiderare. 



Problema 2.' 



XII. Bata velocitate duorum corporum A ^/ B, ojcil- Figurs 3. 

 lai,ido circa puncta F et G Je inuicem percutientium , de- 

 termiitarc 'veiocitatein quam hahebunt poft coUifLonem. 



Solutio. 



Sit radius globi A — A, ipfius malTa r= M , radlus 

 alterius globi — B, huius maflii — N, diftantia pundi 

 fuspenfionis a globo A — a , diflantia pundi fuspenfionis 

 a globo B — § , velocitas in centro globi A ~ w , ve- 

 locitas in centro alterius globi — n , erit vis viua pro- 

 grefiTiua globi A — mtnM atque (Prop. IX.) eiusdem 

 vis viua gyratoria :zr-^~^zmmM. , fimiliterque vis viua 

 progrefiiua globi B:=:«;zN, eiusque vis viua gyratoria 

 = 57|:^Bp««N. Notandum efi : Q^iod ponam centra 

 globorum tempore collifionis efle in iinea horizontali. 

 C 3 Poft 



