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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 204v, page id 00068193:0414
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Sert. VI. De Concursu Corporum.
progressus et facti ea progresu centri gravitatis totalis
m summa corporum, Brogressus autem centri gravitatis
IC2C in eardem partes semper aequalis sit celeritatis, adeoque
respectu ad parallelas rectre LM, ita ut progresus quoque 1X2X
D
simper aequalis sit celeritatis; utiqe et summa totalis progresm
in eatdem partes (detractis scilicet progretsibus contrarys si qua
sunt (per dict. prop. 12) secundum parallelas quaseunque idem
manebit.
Hac autem vera esse patet etiam, si per mollitum corpo-
rum concurrentium, pars ictus abtorbeatur, translata n
concurrentium partes insensibiles; quonium vis dirationis
totalis a vr vetus nullo modo pendet, nec per eam alteratur
Unde fit ut haec regula etiam sie satis vera reperiatur m
possas
corporibus sensibilibus, quae libere satis moventur, utr in pendu
lis obrervari potett. Et si paus potentiae respectiva m concur-
su purent, et eatenus in prani summa totius potentia abso–
lutae non conservetur. Petrimentum tamen iytum factis ali
a
quat experimentis in datre spevei materia ad calculum revo
cari, et inde m reliquis ejusdem materiae praedici potett. Quod
si corpora per concursum cohaerescant, soli potentia directrius
conservntioni locus erit, vi utus amissa.
Coeterum observare operae pretium est, quod m vi respe
ehua conservetur quantitas motus, itemqe m vi directivn
quantitus progrenrus, seu factum ea pondere in velocitatem,
etsi alioqui porentiis conservatis celeritates non conserven
capt
tur, ut prop. 40. de Causa et Effectu ostendimus. Cujus rec ram
ett, quod hic eadem quoque manet quantitas materiae. Sed eo ips
potentiae sunt mratione compositi corporum et quadratarum
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