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# Title: LBr. 57, 2 · Bernoulli, Joh.
# Folio 178v, page id DE-611-HS-3653099:0356
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 177r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-3653099&page=356
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-3653099/jpgs/default/00000356.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.92
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

ut in actis Lipf. ortendi semper parallela Langenti BE quae
duritur ex puncto B in quo duae curvae ABC, DBG quando pun
dup destribens est in O se mutuo contiagnnt; qualis igitum
est dirertio curvitatis in B, talis etiam esse devet in O, et si
ubiqi ita uut si nulla sit flexura nec in ABC nec in DBG
etiam recessario nulla esse queat in 80Q: Hnc manifectius
ett quam ut moner opus sit, curvas aens multigibbas utro
Le ex motu repete ellipseos vel ellipsisorait supen alia elligs:
vel ellissiformi, hoc est carvae ad eandem partem cavae s
per alia ad enadem parstem cava genitas nujgnam habere
a
si a de i
eotest linea carsere flexibus in contrarium, etitamen non esse
posse flexus in contrarium, id eit ad eagdem ubique partes
vel
so
partes cara pam posit habere nodos vel angulos ut
cavat fora; adeoque circulorum ipsis circumscriptorum
sed revera curvae. de quare) aditar impro prisbuantur multigibae
iircunferentias secundum portulatum Arciimedeum asdea
multigitois necestario majores este. 2. E. D. Si Marstur
gensibus nullus adhue est novus Piofestor mathenaticus loco
Papii; postna comendare Moyvraum in Angua degentem
ex cujus lilleris aupla acceptis hatellexi, ob rei anguttiatr te
auiter admradum ipsum viclitare, idq non nisi est privatis in
stitutionibus: quam obrem ma perguam instanter rogavit
ut sibi quaeram aliquam stationem publicatu ut nonaihil
comodius vivere queat, et unde habeat aliquid fissi splaru
ne quod imprimis tretendut morto aliove casu rm pedo
sue sustentatione sua privetur et ad sumam miseriam re
digatur: promisi me Tibi ipsum comendaturum, spemus
animumque adddi; rem optato succestu non carituram: Te eriu
cap aliquotiet et auper admodu in vocatione Hermanni osten
disce quantum Academiae, suae comendatione deferant: Habeas
ergo quad rago comendatum Virum et ingenio et cadnitura
kollentem, atque de quo spondere ausia beneficium quavis modo
agniturum: opus misericordiae si unguat certe nunc efficies.
interim vale et fave
Ps Pater meur charisticurs ante
suos circiter menset animam suam pe
distime expiravit et Deo reddidit aanum
uo
listino
Lecaaules