DE CWKBIS VIBRANTIBVS. 17 



tcmpus per FC , feu ?1=-J^^^. Igitur PViD 



diuifum per |^, hoc eft , -^^^f^ dabit numerum 



vibrationum fili in vna ofcillatione penduli dati D. 



4. Sint pondufcula quatuor , fingula —^L , Fig, ^r. 



fupponendo tantifper GEzi:HIi=:.r , reliquis vtprius 



2 

 manentibus. Erit iterum AF-AC— BK— BM::=-i^; 



FG-CE— KH-MIzz '' ""-^y^-^" , vnde AFGHKB 



2 2 



-AB— ^" -2ay-4-2a_--- defcenfui ponderis P. Voce- 



tur velocitas pundi F in C — Vz , erit velocitas 

 pundi G in E ~ ~ V z *, ac proinde fum- 



ma. virium viuarum omnium pondufculorum 



22 22 



— fL_±:£_x5;xLz=: vi viuae ponderis P~ * --°^^-° xp .^ 



2a 



igiturg— ^" X ^ -4a_ .^-^a_2<p ^ Qiiare Vz vel V 



a -I-3C xiL 



__cv2x_-|ax^a_xp . atque tempus per FC —^^ 



Va ^_x xbL 



2 2 

 ■pVa -hx xbL 



2V2X — 4ax-t-4a xP 



. Ideoque /^y^D diuifum per p"- 



4x_^^^^DxL— (q„ia per Lemma 3..^— ^ 



a -i-x " x&L 



y l/ 



■«r.4-/7i/'; ^ 2*^ «i-vsxnxp — 2*^ 2i;-w;xDxP , ,. 



^ T^ vT^v?x6L — "T^^vT^xlT ^^b^<^ numerum 

 Tibrationum fili femel ofcillante pendulo D. 



5- Sint iam quinque pondufcula , quorum v- 

 Tom. III. C 



num- 



