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# Title: LBr. 396 · Hermann
# Folio 92r, page id DE-611-HS-973581:0183
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ae qualem quantitatem potentiae servari in mando consequi
ut etiam aequalis quantitas actionit in mundo servetur
temporibus aequalibus. Nempent tantum sit Actionis motricis
in una hora, quantum in alia quacunque. Et ita dico possit
eandem esse quantitatem Motionis in mundo, sed recte
acceptae addendo scilicet aequalem temporis quantitatem.
At Cartesius quantitatem motus non recte accepit dum
tempore separare voluit. quad tamen omnis
acto. involvit. Roctius quod quanttatem motus vocavit,
eams
quippe rei momentanea, cum
vendis conati
vocasset quantitatem e
Ciriba
ducrum
RRegulas quibu
corporum duiorum motus duactes concursus dinectos centrales
Nosti meas illas tres a
sempe si decum mobilia sint A et B motusceleritates
durorum
(3; ponendo has
orquantitates esse affirmativas cum motus omnium est
ante ictum, a et
post ictum _ et
velicitates esse quantitates
h omnes tendunt in easdem partes,
prodibust
eam vero negativam quae
Reg. I. Aau +Bbb- Aaa FBBB
padem manet quantitas potentiae Aaa + Bbb = Aaa + BBB. Regula?
tendit in contrarias. Hinc mita
 eadem manet qtit prgrediei quantitas progrediendi Aa + Bb = AatBB
progiessus
differt autem quantitas progrediendi a quantitate movendi ena saquansitate
tendunt  progressus
motus Cartespana, quod cum corpora in contrarias partet seu protuovende
elo
est difereu, quantitas promed
promessus est differentia ionemotus et qui
ea i Cura
a
0. se
coincdis
euo uavesiaua
Regula tertia: eadem
manet celeritas respectiva, seu qua corpora distantiam mutant,
eu quanatum movendi
1
r
et quidem ex harum trium regularum
e
totalis
endi in samtalis.
 a - b = β -0
Lvulgari calculo
duabus quibus cunque sequitur tertia
a
padtualis motus sit res successiva.
vig. si A(aa dc) = B (bb-
A(aa - 4 4) = B(B - bb) dividas A (a - ∞) - B(3- b
id est aequ. 1. per 2.
sed 
n debucisec putam
prodit a+a = B+  b + β quae est aequatio 3tia
quod ex Reg. 1. demonstrari
fatiam secundam adabitis differentlis. Egu sin
pulcherrime observatum video
ten hic quieqe
utor calculo diferenti ali more meo Nempe fit est ada + 2B db = 
Rada  Licebat simpliciter li sulculo dnflerent
+more ned
el
immunidaa
ati
remepto
au
redinotione in easdem partes qquantalacunque; id autem statim calculo
elementar
difeentia
quasi differentialis more meo dabit: xreg. fre aeq scilicet ex aequad
ribere
differentiando fiet 2Aadq + ZBb di _ = 2Aa d + 2BBdv, id est A a + Bb = Aa HB
s us brnitur exerum corolnua, potita an lequ u
e
Operae tamen pretium euit hanc consequentiam
demonstrari regorose. Ego
quae est regula secunda.
ab aequatione ordinatia ad differentialem
minsmoditia
Sati dura
X
do corpo
non sunt durb
pars virium in
motus intestinos
partium mollis
pen. (deduai
ditur