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# Title: Leibniz-Handschriften zur Mechanik: Dynamika LH 37, 5
# Folio 200r, page id 00068534:0395
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directi et centraliter
si duo corpora concurrant, viden-
dum an in ipso concursu celeritates
amissae sint molibus reciprocae. Pantur
 Aek BCconcurr sit corporum A et
B concurrentium celeritatibus AP, BP concursus
in p. sit eorundem corporum centrum C.
ponamus moveri ea celeritatibus AC, BC
in navi mota celeritate C p. Et concur-
rentia in C amisisse paltemunum-
quodque partem  suae celeritatis; certum
est celeritates tamissas esse reciproce
proportionales, seu si A amiserit celeritatem
G: B amisisse celeritalem BR, et fore AZ
ad BR ut B ad A. Residuaeque celeritates
in navi erunt QC, RC. Sed cum spectando
extra navim residuae celeritates sint QP et RP
patet easdem esse amisses sive in navi spectes
sive extran fuerint autem prima AP, Bp,
patet easdem esse amissas AQ, BR; pive
in navi spectes, sive extra navim; et cum
in navi amissae sint reciprocae corporibus;
absolute dicendum est in corporum concursu dum sese adhuc comprimunt
celenitates amissas esse corporibus reciproce
proportionales.
vicissim in corporum concursu, dum
sese restituendo a se invicem rursus recedunt, videndum an
celenitates recuperatae sint corporibus
reciproce proportionales.  Redeamus
ad navim,   quae fertur celeritate Cp,
et ponamus in ea corpora rsse postictum
a se recedentia recus
et B celeritatem (CR; ulautfestent est,
directionem
spectanti exutique spectanti ex ripa sumatur in CP
sumatur a B retro versus A, ipsa pS aequalis ipsi C2
erit Cs celeritas quam corpus A exnavi ripas
spectanti apparebit habere in P. similiter a p
autrorsum versus B sumatur  P F aequalis ipsi CR, et erit p+ celeritas quam
et corpus B ex ripa spectanti apparebit habere in p
patet pS esse CP - CZ, et PR PY esse C p + CR
Sed cum CQ et CR sint ut B et A, patet non pesse
AP = CQ et CP + CR ut B et A. Itaque fieri
dici non potest celeritates recuperatas, spectando
absolute seu extra navim esse corporibus
reciproce proportionales. Sed celeritates
retrorsum adhuc acquirendae ab A suo est
sunt AZ pro A, et BR pro bB, quae revera
m sive extra navim spectes sive in navi;
Regula ergo haec est: Celeritates ad seinvicem
accedendi amissae,  se invicem recedendi
recuperandae sunt corporibus reciproce proportionales
A
E8E
E
44 1
= in navi