# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1066518432:0166
# Permalink to this reading: https://leibnizlegible.com/page/1066518432:0166?run=74
# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 138, page id 1066518432:0166
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=166
# Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000166.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.94
# 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.

F18. 62
238 DE VLRIBUS ET MOTTBUS CORPORUM. L IB. II.
C O R OL L A R L U M IV.
262. Sed si liquores homogenei dirertx densitatis vel gravitatis
Speciticxe inter se conteruntur, graritationes lunt in composita ra-
tione densitatum de altitudinem; adeoque si in Erphonis ABd Cru-
rC ABC insit liquor DC cujus densitaS uniformis sIE FHI, _ alti.
cudo super Fundum aequalis IINI; alteri vero cruri ab insie liguor
di densitatis eh vel ne ad alticudinum ce in crure aNTurgenS, crit
hujus liquoris graricatio exprimenda rectangulo he. et, et liquoris
DE. C graritatio exponi debet rectangulo FFI. FIN, adeoque, si tu-
bi per horizoncalem bB communicantes, atque rectangula K II. FIN,
he. et aequalia fuerine, liguores in aequilibrio consictent; quod proin-
de continget, ubi altitudines liquoris R.C, ec densitatibus (eu (8. 33.)
graricacibus speciticis he, FIF. Fuerint reciproce proportionales.
C A PVT TI.
De cravitationibus Liquorum in Vasorum latera, es de
Tuborum firmitatibus requisitis ad perferendas
liguorum pressiones.
NCapire proxime antecedenti eas solum graritationes liguorum
Lcontemplati sumus, quae in plana horizontalia exeruntur; in hoc
vero examinandae reniunt prestiones liquorum laterales, quibus pa-
rietes seu spondae ralorum afficiuntur. Talis enim indago praebe.
bic regulam pro detiniendis cuborum tirmitatibus ad resittendum
aguxe prestionibus et riribus, quibus liguores ratorum latera ab in.
ricem aiducere conantur.
PROPOSTTIOVI. THEOREMK
263. Vasis vet tubi F. AOP ex utragne parte R IPS ex AYOV
aperti, ex liquori BaoS immissi usque ad F. TP. superficies externa e
convexa abe ambiente liguore eadem vi introrsum ver (us assem preme-
B. D. tur, qua cava vasis superficies extrorsum ursetur ab interno vasis li-
quore.
Nam si loco vasis F. AOP incellisatur moles liguoris ejusdem
consticutionis cum liguore ambiente, ejusdem que sigurx, magnilu.
dinis