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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 111v, page id 00068193:0224
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De Motu difformi seu accel. vel retard.
inde a quiete. Et generaliter fieri non potest, ut uno ex his sus
bus: tempore, velocitate, spatio (seu longitudine percurs a) vel ejus
C
dignitate arithmetice seu uniformiter erescente, alterum vel
ejus dignitates Geometrice ab mitio crescat.
Ponatur enim, si fieri potert. (Fiu.
)temporibus AT ab
Arithmetica
mitio motus A assumtis n progretsione Geometrica, seu ut L
garithmis, velocitates acquisitas etse n progretsione Geometrica
seu ut numeros, patet tres velocitates acquisitus quas cunque, ut
4
1SIV, 252Y, 353Y, quae aequalibus distant temporis intervallis
y
1d25, 253), fore progressionis Geometricae. Adeoqe et velocita
tes existentes momentis A, 15, 2S (posito tempora AIS, 1T2t
etse aequalia) este progrettionis Geometricae, quod ett absurti
Nam velocitas initio seu in A ert nulla ex hyptotheti, adeoque et
c
infinities minor; qun
velocitas m A ext ad velocitatem n. 17, ut haee ad velocitatemt
2S, ea hypotheti. Ergo etiam 1SiV ett ipsa 2T2Y infinities minor
V
adeoqe n isi sit velocitas gradus cujus cungi  quantum
parvi assignabilis velocitas 2T2) forer
-
1
finita. Et cum m
stans 2F utcunque vicinum sumi possit mstanti A, patet mo
bile secundum hanc accelerationis legem aut nullum habere
motum, aut statim habere instantancum seu infinitae velou
s
velocitatem repraesentantes sint
progrestionis germetria, ipris temporum intervallis 1525, 283.
s
etc existentitus aequalibus, tunc VV nunquam attingit rectam
As, quippo sibi asymptoton, ut conttruenti manifertum est; Ei
prointe velocitas hoc modo creseens, à minimo teu a quiete
incipere non potest, contra hypothuun. Hnc porro sequitur tot
poritas arithmetice arsumtis, ipatia quoque percursa Geometri
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