IN COLLISIONE CORPOWM. 73 



angularis quam iam acquifmit zzzs. Corporis A vero ce- 

 leritas progreffiua fit zzu, et celeritas angularis rr. 

 Iam temporis elemento dt„ transferantur pundla A, B, 

 G,H in loca #,£,£,£, et ducantur ay, by\ parallc- 

 lae ipfis AG, BH. Erit ergo Aazzudt, Bbzzvdt, 

 atque ob motus angulares habebitur g y zzfrdt, yhzzz 

 hsdt. Interuallum vero gh erit zzx-\-dx. At cum 

 fit Hgzzzx -\-udt-\-frdtzzx-\-dx-\-vdt-hsdt erit 

 dxzzzdtru-v-+-fr-\-hs) feu dt zzz^j^^. Sit 

 porro vis, qua vtrumque corpus vi compreliionis vrge- 

 tur = p 9 erit dvzz^-, duzz^; drzzz^ at que 

 dszzz^. Hinc ergo fiet fpdt zzzB{b-v)zzAuzz^ 



— b * 



§. 31. Si nunc loco dt fubftituatur u — v -+ jfzjtt* 

 habebuntur fequentes aequationes: 



-pdx 



— B 



vdv—udv—frdv — hsdv 

 udu-v du-\-fr du-\- h s duzz^ 

 fudr-fvdr-\-ffrdr-\-fhsdrzz S1 ^- 

 huds-hvds-hfhrds-^hhsdszz 1 ^ 



quae aequationes inuicem additae et integratae dabunt 

 fequaentem aequationem v 2 -\- if -\-f 2 r z •+■ frs 2 — iuv — 

 zfrv — 2 h sv -\- 2fr u -\- 2 h s u -\- ifhr s zzz 

 z (i-^-^-\-j-\- h i)fpdx-\-b\ Integrali fpdx ita ac- 

 cepto vt euanefcat pofito xzzk. Si ergo corpora fue- 

 rint perfe&e elaftica, conflictus cefrabit, fi x iterum fiat 

 zzz.k, quo cafu fpdx cuanefcit. Si igitur *?,«,r,etj", 

 Tom. IX. K cor- 



