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

Seite: 42
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http://digi.ub.uni-heidelberg.de/diglit/agricola1773/0050
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eleritas
misTit s

cleri tas
quilit*.

SCHOLION. Cognita celeritate communi ite.
rum facilis est solutio sequentium problematum.
§. xr.
Problema I. Determinare celeritatem
a globo in currente amijjam.
I
Resolutio. A celeritate C ante incursum ha-
bita subtrahatur celeritas post ictum communis-
differentia dabit ‘quantitatem celeritatis quam M
^ . . n MC+mc MC+mC-MC-mc
anu 111: nat igitur C (--) ^ —————_
M+m , M+m
reducendo nimirum C ad denominatorum M+m
uti §. 7. facium est; quare ob MC — MC — o erit
MC+mc mC—mc
C '—1 —-- m ———— . Q. e. d.

erit

M+m M+m
SCHOLION. Sit M
ir.C—mc 12—6
, - | „ , . - n ( 1 T" 'l' ilOWWWi'»»
M+m 4+2

4, C ~ 6; m ^ 2, c^j;
6

i.

§. XII.
Problema II. Invenire celeritatem a
globo m, in quem incurrebatur, acquifitam.
Resolutio. Celeritas, quam m ante conssi-
<ftum habuit, substrahatur a celeritate communi post
conssidtutn ; differentia dabit celeritatem ab m post
MC+mc
conflidtum acquisitam. Fiat igitur -—•*—* c 5 est

M+m

autem c

Mc+mc

M+m

; (algeb. §. 50. item §. 44O erit igi-
tur (per axiom. 4.) substituendo aequale pro aequali
MC+mc

)
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