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# Page: https://leibnizlegible.com/page/DE-611-HS-958803:0599
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# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 299r, page id DE-611-HS-958803:0599
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 297v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=599
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958803/jpgs/default/00000599.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 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.
# 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.

dere; quid de hoc Geometiva imperiti eagitabunt? nun
quid merito divinam ham scientiam ablegabunt ad va
nas et incertat visionet. Quandoquidem ea quoque specu
ojis adeo verbis in dubium vocari videant et falcitatii
omnino accusari, quae ab archipedis tempore en hunc
uiqe diea supremum certitudiais gnadum obtinuere.
Etiam apud Galilaum nuper legi aliqualem modum
aerem comprescum ponderandi. Dulium non eit pondus
aeris denritati epudem este proportionale, quantitates
enim aerit aequalium voluminum adeaque etiam pondera
sunt ut deacitatet. Sed non capio quod dicit Raplium
potasce, aerem rarefaitum a calore accipere viu se
dilatandi majorem quam proportione raritatis, cedo
Je voluisce dicere proportione reciproca, nam cretrente rari
tate, vis dilatandi decrescit. Diis porro dignum esce
exculi annon similiter aer compresius minoreu dila
tandi vim acquinat quam pro ratione dearitatis: sed
puto Boylaua jam observasse aerem compressum non
minorem sed paulo majorem acquiere via quam pro
ratione deatitatit: idque sine experimentis ex sola ratio
ne clarum est, nam vis elartica augeri poteit in infi
nitum quando dencita non niti ad gradum finitum
pervenire poteit, quod sic ortendo, finge tibi antliam
pneumaticam verticalitem erectam aere plenam qui
aer jam comprimat ab embolo onerato pondere infinit
itaqe embolat denendet non ad fundum utque quia aer
su corpus sit annihilati non poteit; ergo denendet
cum
aliquousque tantum, id eit der conprimetur ad dentitatis
tantum grodum finitum, interim vis elactica fit inti
nita utpote aequalit ponder incumbenti, adeoque vires
cercunt in majori ratione quam dentitates. rationes