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

Seite: 77
DOI Seite: 10.11588/diglit.29349#0085
Zitierlink: i
http://digi.ub.uni-heidelberg.de/diglit/agricola1773/0085
Lizenz: Creative Commons - Namensnennung - Weitergabe unter gleichen Bedingungen
0.5
1 cm
facsimile
incurrente

amiiTa.

°

§. IX.

Problema I. Invenire celeritatem aceitmata
mjja incurrente M. amissam.

Resolutio. Subtrahatur celeritas ejusdem post
conssidum a celeritate C ante conflictum ; disfe-
rentia dabit celeritatem amissam, quae, si dica-

. _ ,MC+2mc-mCx r

turx; eritC — -)^x; ergo reaple

M 4* m

peragendo subtradionem, erit (pcr§.

MC—2mc+-mC MC+mC—MC—2mc+mC

<ug.) G- -

iMtMHXr.'- >•****.*

M + m
2mC—2mc

M 4- m

x, cum MC-<MC inpriore for*

M + m

mula sit £2le o. Q. e. i.

Corollarium. Quare cst, utsumma massarum
ad duplam massam lentius praecedentem, ita dif-
ferentia celeritatum ante conssdum, ad celeritatem
massac velocioris per conflidum amissam, sive:

m n 2mC — 2mc

M + m : 2m 22 C — c : -■— ; dicatur enim

M + m ’

ultimus proportionis terminus x; erit Mx + mx E?

„ 2mC-2mc „ ,

2mC — 2mc; ergo x — —^ , quae elt (per

{ praesent.) celeritas a massa incurrente M amissa.

§. X.

Problema II. Invenire celeritatem a
majja m tardius praecedente per conssictum
acquisitam.

F 2

Reso-
loading ...