Agricola, Joseph  ; Molitor, Ludwig  
Theoria Motus In Conflictu Corporum Physice Et Algebraice Exposita — [Heidelberg], 1773 [VD18 14363399]

Seite: 79
DOI Seite: 10.11588/diglit.29349#0087
Zitierlink: i
http://digi.ub.uni-heidelberg.de/diglit/agricola1773/0087
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pc x S C

MC~mC+amc

1 tura*****-

M + m

smC—2mc
M+m ^

MC+mC—amC+2m«

m#*' ua.- i j w«aa«ateM<WBMBMBM>

M + m

(per coroll.)

Corollarium III. Si Mdm post conssidum
permutant velocitates suas. Sit velocitas masfae
incurrentis M ante incursum 25 C, massae tardius
praecedentis 55 c post conssidum M movebitur ce-
leritate c, m vero progredietur celeritate C. jNram
celeritas massae M incurrentis post conslidum est

MC — mC+2ii\C st c

— ■ ..— {per cojollar. 2. §. 10. cap.

M + m

praefent.) si ergo M 53 m formula exprimens

celeritatem massae M post conssidum transibit

MC—MC—2Mc MC—MC—2Mc *Mc

in hanc ~ ~TrZT?- = ——- =2 —

M + M 2M 2M

55 e; igitur massa incurrens M post conssidum
movetur celeritate massae m ante conflidum. Ce-
leritas autem massae m tardius praecedentis post

conflidum est 25 , in hypothesi corol-

larii

M + m

2MC-Mc+MC_sMG-Mc+Mc

M+ M

2MC

-C;

2M 2M

movetur igitur massa m tardius praecedens post
conssidum celeritate massae incurrentis M ; adeo-
que M & m post conflidum celeritates permutant;
si sit M 25 m. Cujus ratio est, quia massa M lola
differentia celeritatum incurrit in massam m quae
relata ad eam differentiam spedari debet ut quic-
scens, cum ergo M 25 m, vi primae adionis dimi-
midium differentiae scu excessus transfertur in m;
cum porro vis comprimens sit aequalis vi elasticae,

F 3 per

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