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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 24
# Folio 1v, page id 00068149:0002
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hic locum habet, differentia enim inter velocitates, quae sunt
initio et fine arcus elementaris, sunt ipors velocitatibus
in comparabiliter minores; sive ponatur crescere continue
velocitas pertoten arcum, sive aequabili manente per
spatium hoc tempesque elementare motu, incrementum quod
toto tempasculo accedere continua variatione potuisset
in ultinm momentum differri, ibius totam simel per
saltum accedere fingater.
Hypothesis res
Neque tanen haec saltus vel interraptionis enovaet
videtur
ut adversano suo vacine A, cum omnis Methodus infinitesi-
malium inde ab Archinede ad nostra usque tempora tali si–
tione nitatur, veluti cun pro curva ponitur polygonum
infinitorum laterum, seu pro arcu clementari Vo (Y) recta
subtensa Y(Y). Fiagitur enim mobile Y tempore ele
mentari X (X) vel YD, aut (X) (X)) vel (Y)(∞) conser-
vare directionem et recta ferri ab lad (V) aut
ab (Y) ad (Y) tantumque eam mutare in extremis mo
mentis X, (X), (X)), vel in extremis punctis Y, (Y) ((V
)) etsi re
vera continue fiat mutatio directionis: quoniam scilicet
tali fictione polygoni pro carva nobile nunquam assi,
gnabili interrallo a crorva recedit
Idem foret si fingeretur nobile tenpusculo X (X)
ferri per V8, et in ultino momento (X) per saltum momentanet
transferri ex d in (V). vel contra tempusculo X (X) ferri per
Yd et altino monento (X) per saltum statia transfern ex
din (Y); etsi tale quia naturaliter fieri non possit sifficit
enim talem, fictam hypothesia nunquam assignabiliter rece–
dere ab eo quod resultat ex veritate. Sir et fingi posset
nobile nedia parte tempisculi X (X) ferri ex Y in S et
altera medra parto ferri ex in l. Ita licet fingere aliquan
magnitudiiem