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# Title: LBr. 57, 2 · Bernoulli, Joh.
# Folio 135v, page id DE-611-HS-3653099:0270
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 136r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-3653099&page=270
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-3653099/jpgs/default/00000270.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.97
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

tum verae vis centrifugae; plane enia judico rem se habere
ut ingravitate, quae non uno utu 
sed infiailis
citibus quamvis tempusculo infinite parvo poduntur,
alias enim vires centrifuga non foreat in duplicata ra
tione velocitatum sed in siaplici quod est contia exie
rieatiat. Hac tamen et alia non poteraat satis facere
Varignonio pertinaciter caharenti suo erior, et quod
magis mireris cum ipsi adducerem demonitrationem more ve
terum adornatam in qua scilicet nulla infinite parva
cagredinatur et qua apodictice demonstiatam comunem
senteatiam quod grave agitatua in circumferentia circuli
horihontalis celeritate aquali illi quam acquireret cadend
ex altitudire semiradu illius circuli, habiturum sit rim cea
hifugam aequalea suae gravitati; et cua in illa demonstra
tione supponerem tanquam oxioma quod mobile aliquod
agitatum  super curva aliqua, in quolibet ejus puncta
eam habiturum sit vim ceatrifugam, quam laberet si
agitaretur aquali velocitare super circumferentia ci
culi curvatu in eo punito osculaatis: Varignonius sup
positum hoc praeter omnem espectationem mihu negavit
asseruitqu vim centrifugam super circulo osculante du
plam esse ejus quam mobile habet super cuiva
in punito osculi; cujus rei falsitatem ego protinus re
futabam alia (quod faitu facile mihierat) alia nova
demonstratione, qua apagogice ortendi manifectam sequi
contradutionem si duatur vires illas duas centrifugas
super curva et ci super circulo osculante este inaquales
per consequeas unas non posce esse duplam alterius
nqvam demonstrationem
ad hanc responsionem nihil alcud reposunt Vacignonius,
quam se multa dicenda videre, se vero velle ea reservare in redi
tum meum in patriam; quid veco habeat ne bel divinando