PRlNClPII CONSEWJT. VlRlVM VlVARVM.m 



Solutio. Confideretur ftatim virga in fitu AB , quo 

 corpora in directum pofita fiint cum centro virium , fit- 

 qne mafla corporis A=:M; maffa corporis B — N ; ve- 



locitas corporis Azz/, velocitas corporis B —fg/: 



/ / 

 Deinde fingatur virga peruenifie in fitmn A B , ponaturque 



BD 



velocitas in A~c: velocitas in B ~ ^5 v : tum centro 



/ / 



C ducantur arcus circulares A E et B F , atque fic habe- 



tur vi fuperioris paragraphi , 



M*( OT -//)+Nx fj£ x(vv-ff)=M«(?W - srH-N*('»-^), 



ex qua aequatione obtinetur haec altera : 



rr , r fl/r (imm imm . . tvt ,rmm imm -, rA/r BD* » T t 



§. 10. Corollarium 1. Si punctum fixum D fit in 

 ipfo corporum gravitatis centro communiter fic dicto 

 (aptius autem hic dicitur centrum inertiac) id eft, fi fit 

 BD — M:N, fiet 



VV—ff-i-[Mx(lY cX)H- Nx (~cF "cT)j : [M-t-- n ] 

 / 

 Ducatur iam A P perpendiculariter ad AB , ponaturque 



ADzz a ; CD=A; DPz=r , reperietur fubdu&o calculo 



CE^y(AA+2A^-f-^) j CA— A~+-a j CFzzV(AA- 



^-AjH-nn^) j CBzzA— ^tf. 



§. 11. CoroIIarium 2. Velocitas minima corporum 

 // // 

 tion eft in fitu A B ad fitum AB perpendiculari , fed 



quod calculus docet in fitu tali , in quo pun&a E et F 



coincidunt ; coincidunt autem , fi fiimitur x— — j-^-jx^, 



Cadit itaque tunc punctum P infra D , fi corpus A mi- 



aus fit corpore B , et fit angulus ADA recto maior. 

 Tom, X. Q^ §. 12. 



