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# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 76r, page id DE-611-HS-958803:0153
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 77v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=153
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958803/jpgs/default/00000153.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.87
# 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.

ertue suos immediatos, si ilaque longiudices percurra et velocitates (airi quis ob
Hihate vellet, velocitatem potius esse cant am) sint effertur actionis inediati et
dudem sole quorum unur ab altero non dependet vel in altero non includitur (se
cus ita ratiocinari non liceret, ex eo enim quod dua librae aur occupant spatium
duplo majur quam una libra, et insuper duae libia sunt duplo plures quat una, non
idea seguitur duas idas libras foie quadruplo seu bis duplo graviores quam unam
lebram olua una ratio dupla in altera jat includitur seu posita una ponitur
et altere.) erunt actiones motrices necestario in ratione compositâ longulu
diu et velocitatum ad eoque temporibus aequalibus in duplicata velocitatum
Caterum egregie admodum in urden prioribus ruis omendis, inter hai duo
A faire duplum tempore simplo itemque C facere simplut tempore si
plo cadere medium minus priore et majus porteriori, nempe Bfacere
duplum sempore duplo: fateor B mahifferte (exnatura repetitionis per
Nihil tamen profuturam praterguum la. ferta) esce duplum ipriu C, et proinde demonchrative sequi Resce plus
quam daplum ipsius C; sed tanea ex eo nondum sequitum illud pracice qua
druptum esce hujus, priusquam demonitentum sit A esce dupluta ipsiue B;
et hoc meo judiuo demonctratu non ila facile eit, etenim inter facere
du plum sespore semploreliater faiere duplut tempore duplotalis
repetitio non perspicitur, colnitino videtia prime intuitu illud hujus cquadrum
plun este; si enita A tempore simplo idem faciat quod B tempore duplo
uts
oportet ut A sit diplo vetouus quan B, adeoque illius potentia quadrupla–
s
r  
poteatia iprius C. Vides exinde par non ita procedere, quati nullam am
pligs mercantum elucidationem
Mo maxime indigeo Tuo tertitionio in re quae me non mediocriter at
git agitur en m De honore meo qu eo magis periclitatur quod à fratie
epro oresas: impetatur. Si omnibus aeque ac ribi perspeita estet innocen
tia mea et mordex fratiae aemulatio, Raud dubie Juum terimonium
non implorarem, nec magi me moverent ejus insultus quan canum la
tratuc.
c
Taneti replicationem Du. Hceurvenfciti non viderim, arquit tamen
in illo aut obdlinationem aut indociltatea, eo quod et amnum in scrpo
hodum quarat: Utrunvis sit Ejut comercium literarium quod ipa mecum
ineundum suaristi miho non aviedet reolim enim operat meam inculili
ter collocara in convertendo obi: natum aut docendo indocilet. Frastra
allua admorei facie at huli guosus eppordent, vides es flertis titil cpte