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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18A
# Folio 317, page id 00068191:0317
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
# Lines: 59 recognised, mean confidence 0.94
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gradum tensa eandem vim coercentem
sustinent.
sit aer tubi ABper hydrargyrum
du per argentum virum incumbens CD, quod ex actibudine
AC descenderat, compressus in spabi-
d. P.
um DB, ita ut jam aequilibrium sit
inter pondus coercens C D, et eLastrum
aeris DB a quo pondus sustinetur. sit
vas quanbum cunq tubo communicans
in B, sed ibaut communicatio sit intor
intercepta per Epistomium clausum. Ajo
siponeretur C. pLenum aëre ad eundem
gradum compresso quem recepitcom
pressus air DB, Sposoea communi
catio detur aperto epistomio B novam
virium aeris e accessionem nihit posse
in pondus C. D neque ill ad attollere sed
omnia permanere ub ante. DDonamus
enim initio epistomium fuisse apertum
dic descendisse, atque ita eodem modo com
pressisse aerem DBE, ub nunc; clau
dabur deinde epistomium manifestum
est ideo non magis posse comprimi-
aerem DB apondere C. D quamante
cum subsans aer BC ponderis (F
actionem in aerem DB non impediat
ergo
ergo potuisset aer DB comprimi
amplius manente communicatione.
ergotobus aer D Be magis comprimi
potuisset contra hypothesin. Nihil.
ergorefert clausum an apertum sit
episbomium majorque adeo an minorsit
aer eodemmodo tensus a pondere coer
ceabur.
Dlinc discimus ut Liquores gra-
res in aequi Librio sunt secundum gra-
vitates specificas seu densitates
s
Faltitudines, nulla ratione habita
c
amplitudinum (prop. 29) ita Liquo=
.
res eLasticos in aequilibrio esse secun
dum elastri vel densationis gradum
nuslaratione habita voluminis,
seu magnibudinis; et, siponamus
aerem nostrum quem respiramus
esse compressum pondere superioris,
ubi revera est, manifestum est in
exiqua ejus particula esse vimresis
tendi et astro botius reliquiaeris ipsum
comprimeretentantis, quemadmodum
ponderi; undemirum non est in vase
ckauso et astrum aeris inelusi Licet
parvi, vim botius jncumbentis abque
atmosphaerae nunc exclusa, supplere.
exhis