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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 212v, page id 00068193:0430
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De Concursu Corporum.
AB
versus E, si verus fuit corporis motus, sin apparens tan
tum fuit, pars A cum reliquo corporis ACB manebit,
non obstante vinculi solutione. Atque ita habebimus ra
tionem necessariam discernendi motum verum ab appa
rente contra propo. 19. Neqi hoc evitabitur, nisi firmitam
c
corporis ACB oriatur a corporum ambientium appressi
ohe. Cum enim omnes ibx motus sint rectilinet, nec alt
ad fuerit qyratio quam certa quaedam motuum rectilineo
ram compositio, et in mere rectilineis motibus absolut
loquendo et geometrica necessitate hypotheses moieim
discerni nequeant (per prop. 19.) sequitur nec. m guratiom
bus discerni posse. Sed ostendamus distincteus, quomo
do oyratio quaedam crca centrum et appressio corporum
s
e
ea sola conatuum rectilincorum impresione oriatur.
Nompe. sitig. .
mobile A tendens diretione et celeritate
representata per retam Aia elementarem indefinite
parvam, sit autem corporum ambientium conatus perpe
tuo pellens mobile A versus centrum C, ita ut eandem
e
semper ab eo diitantiam servet (quia scilicit alioqui mre
sens motus ambientium turbatur,) et sit impulous ua
C
recta 1a2A, ita ut 2 A endat in circulum centro C ratio
Cut descriptum, (quem. sane impulsum 1a2 A comparati
onc celeritatis praecedentis in comparabilita parvum esse
necesse est, ut jam notavimus ad prop. 18. huci est enim
aequalis vi centrifugae ipsas A, qua a centro recedet, quam
infinito parvam etle repectu celeritatis seu impetus inf
Utis istis impulsibus concepti jam ostensum est prop. 28.
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