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

Seite: 79
DOI Seite: Zitierlink: 
https://digi.ub.uni-heidelberg.de/diglit/agricola1773/0087
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0.5
1 cm
facsimile
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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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