">¥.% ) "0 ( ^c?.- 



proiiclantur, eorum motus ita crit comparatus, vt eorum 

 communc ccntium grauitatis g vniformiter in dire(flum 

 progrcdiatur, intcrea vero ambo corpora circa hoc ipfum 

 pundum g vniformitcr gyrcntur , prouti fcilicct motus 

 primo imprcffus poftulat. 



Problcma 2. 



Tah. IV. §, 2. Si tria corpora A, B, C, fihs A B zr: a et 



*^'S- ^- B C =: b connexa , itcunque fupcr plano horizontali proiici' 

 antur, eorum motum inuejligare, 



Solutio. 



Ponantur pro fingulis corporibus coordinatac 

 OP — jr, PA— j; OQi^.v', QBzryj 

 OK-x\ R C-y"; 



tum vcro inclinatio filorum, fcilicct anguli BAp—p ct 



C B <7 — (7, hincque ftatim fit 



x' 'j:z X + a cof. p ; x"z^ x-\- a cof. p -\- b cof q 

 yrr^ + flfin. p j'" — j' + fl fin./) + Z; fin. ^. 



Porro dcnotct P tcnfionem fili A B ct Q tcnfioncm fili 

 B C , cx quibus oriuntur fcqucntcs acquationcs : 

 I. VV/f^rrPcofpi 

 11. 4|^=Pfin.p; 

 in. ^-^-''iCrz -Pcof. /) + Qcor(7: 

 IV. !Li-i2; zr — P fin./> -i- Qfin. y; 

 V. ^-f^' = -Qcor^; 



VI. e_';-;;'=:-Qfin.yi 



qua- 



