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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 201v, page id 00068193:0408
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Sect. VI. De Concursa Corporum.
ex hypothen non absorbetur à partibus aut eaus à aeternia
+
ergo tata redditur; Quod quomodo fiat, ita distincte cogno–
scemus. Dum fFig. 5.) A et B concarrant celeritatibus.
1A2 A et IB2B, et ex 1A, B transeunt in 2 A2B, secemus
rectam 1A, B in puncto C sie, ut sit AC ad BC, ut B ad A,
erit vis ictus perinde ac si concurrissent A celoritato AIC,
et B celeritate 1B1C, (per prop. 9.) Hec vis absoluta, quam
is
componerent, si duo motus detrahantur a vo absoluti totalo
residua vi iret totum compositum simul Utique enim vis
a
est.
rendua, n ipto composito sublata vi ictus, alioquim aliquid
si
de totâ vi periret contra prop. 1. Totum autem compositur
i
ir et simul, si corpora a ses invicem per restitutionem Elastri
non iterum repellerentur; nam quamdiu adhuc corpora se
argent nondum totam vim uctus in Elastrum tranctulere
s
vid. demonstr. prop. 6.) eo vero momonto quo se ungere des
nunt, manent simul (perdito conatu magis appriopinquando
seu celeritate respectiva), nisi quid novum superveniat,
Sis
quod est restitutio Elastri: Jam si Elistrum motu commun
cum corporitus feratur, ex à se invicem dirimet eodem
modo ac si motus ille communis abers et, sut in prop. 2.) cele
ritate scilicet reuproce proportionali singulorum tanta quat
tam vis Elastri et magnitudo corporum id ert vis respectiv
prior Elastro impressa postulat. Necerse ert ergo eandem
corporitus dari celeritatem recedendi, quae prius appropin-
quandi fuit, seu A abscedere à concursu celeritate ut AI
et B celeritate ut 1B1Cy adeosi eandem etse quae ante cde
ritatem repectivam. Celeritus autem communis qua itura
essent, n abeset rertitutio, ea foret, quae ante concursum fuis
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