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

Seite: 43
DOI Seite: 10.11588/diglit.29349#0051
Zitierlink: i
http://digi.ub.uni-heidelberg.de/diglit/agricola1773/0051
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43

o

MC+mc

M+m

MC+mc-Mc-mc

^ «v <s» wggwy stcrrerKvggssr^ ^ & quia mc

mc

4*118

MC+mc

o erit

celeritati ab m

MC—Mc

«4 P 1 ■4 1,1

M+m

post conssictum acquisitae. Q. e. i.

Scholion. Retentis iisdem numeris in prae-
cedentis problematis lcholio determinatis , erit

mc-Mc

M+m

Cirm-*OutV

2.

Corollarium. Ex utroque problemate redte
infertur, velocitates, nimirum amissam a majsa
insequente, & acquifitam a praecedente ejje in
ratione inverfa majjarum : algebraice erit

m : M -

MC—Mc

est enim m.

M4-m

ir.C—mc MC—Mc

•: •* . ...\ <*< *• ‘1=**

MmC—Mmc

WlWfc

M + m

M+m M+m

m€~mc MmC-Mmc

M. **m*»~~~ Q# in— ■ ir

M+m M + in

ergo (ex §. 84. algebO vera est pro-

portio,

XIII.

Problema III. Determinare qwntita-qu*ntiaa:

tem motus poft incursum.

Resolutio. Quoniam summa massarum est

M+m, & celeritas communis post conssictum trlis
MC+mc

> (per §. xo. praes, cap.) quantitas autem

motus post conssictum est celeritas communis vel
ducta in masias lingulas &fadta addendo, vel duda

ln summam massarum J fiat M+m. -~“C; farftum

morus pc
incur*

M+m

M+m

erit
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