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

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ergo faifta substitutione pro my (per axiom. 4.)
erit quantitas motus post conssictum =3 Mx + mC -
mc + mx; est vero propter adionis & readionis
aequalitatem, dum globi in eandem plagam ferun-
tur eadem quantitas motus ante & post conflidum:
igitur Mx + mC —• mc + mx s MC + mc: ergo si
quantitates notae ab ignotis separentur (per algeb.
§. 109. per metathef.) erit Mx + mx 23 MC+mc-
mC + me 33 MC + 2mc —• mC. Et utrumque divi.
, .. . Mx+mx
dendo M'+ m (per §. no. alg.) erit ——- -
x M+m
MC+2mc-mC , , . . , ,.
; adeoque x h. e. celeritas globi

MC+2mc—mC

invento autem.

M + m
impingentis M ^ M + m
valore ipsius x, jam nullo negotio eruitur etiam
valor de y. Est enim yz3x + C—'c; ergo {per
axiom. 4.1 loco x substituendo ejus valorem h. e.
MC+2mc-mC . MC+srac-mC
— ? erit y :z$ —* ^ -—- + L c;

M+m ’ } M+m
ergo C —1 c reducendo ad eundem denominato-
rem M + m (per §. 45. algebr.) erit y t-
MC+2mc—mC+MC—Mc+mC—mc n
.i.—.. ~• eit vera IrlL 4
M+m ’
MC 2MC; + mC —> mC 33 o; + 2mc — mc £*.
+ mc; erit igitur contrahendo terminos (per $. 18.
, , , 2MC+mc—Mc ~ rL rr
cblgchY•) y ^3 . Q_u3c est niuiisc ni

M 4* m.
tardioris, post conflidum celeritas. Atque ex his
formulis leges speciales conssiduum in incursu glo-
borum perfede elasticorum facile deducuntur*
Vid. P. Mako cosmolog. ru 298* coroll.
§• IX-