# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1066518432:0242
# Permalink to this reading: https://leibnizlegible.com/page/1066518432:0242?run=74
# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 214, page id 1066518432:0242
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=242
# Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000242.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 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.

l18.92.
214 DE VTREBUS ET MOTIBUS CORPORUM. L1B. II.
CA PV F IX
De moribus Liquorum per minora foramina erumpentium.
PROPOSTTTOZZZ. PHEOREMA.
384. Quantitates, seu filamenta liquorum, aequali tempore per quaeli-
bet orisicia aequabili motu esstuentia, sunt in composita ratione ex ratio-
nibus orificiorum ex velocitatum, quibus liquores, quisque per suum fora-
mem erumpunt.
SInEDEF, GFI rata quaelibet foraminibus quibuslibet K et Y
percula, exeantque dato quodam tempusculo motu uniformi Ala-
Mentum RENI Cx vasC DF L e Elamentum IO ex rasC OHI, ita ca-
anen, ut superne cantum liquoris restituatur, quantum cAluit, atque
adeo in utroque rase liquor in cadem altitudine constanter conser.
retur; e hisce posiris ultro liquet longitudines Hlamentorum RN
ex IO utpote aequali tempore uniformi motu descriptas, relocita.
tibus aquae ex Foraminibus K. 8 I crumpentis proportionari, rel
Potius has relocitates repraelentare. Lx Ceometria rero elementis
constat, ipsa filamenta ese in composita ratione Foraminum H ex Y
tanquam basium prismatum, et lonsicudinum RN e IO, id cst,
relocitatum, quibus hae lonsitudines delcribuntur, quare constat
PrOPOTIEUM.
E18.92.
PROFOSISIO AZSI. PHEOREMA.
385. Ouantitates motus, seu impetus liguorum quorumeunque e pes
quaevis foramina erumpentium, sunt in ratione composita ex rationibus
duplicata celeritatum; sumpla densitatum seu cravitatum specificarum
liguorum, et denique simpla foraminum.
Ex vasis ABC _E DEF crumpant eodem ret aequalitempore, per
Foramina B ex R filamenta BM eE RN, quorum lonsitudines cele.
ritates exponent, quibus haec Eilamenta c ralis cgrediuntur. Grari
tas specitica, seu densitas liquoris in rale ABC exponatur per magni-
cudinem R, densitasque liguoris DEF per S. In KN Cumatur ter-
tia proportionalis ad BMI et RN eE SIE CA RV, ex probari debet,
quantitatem motus filamenti BM se habere ad quantitatem iOEus Fl.
enEI RN UEB. BM. R adR. RN2. S, auE PrOPtOE rectAS BMI, RN,
RV continue proporcionales, sicur B. BMI. R ad R. RV. 5.