# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1066518432:0185
# Permalink to this reading: https://leibnizlegible.com/page/1066518432:0185?run=74
# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 157, page id 1066518432:0185
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=185
# Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000185.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.

DE VIRZBUS ET MIOZTBUS CORDORUM. LIB. II. FZy
in reciproca ratione numerorum ex constructa tabula CXCCrpEOTUM,
qui colli dirisionibus, ad quas in liquoribus machinula descendie,
conreniunt. Demonstratio Facilis est; nam (9. 295.) graritas specitica
liquoris A est ad graritatem specificam alcerius O sicur N6 ad N4
hoc est, in reciproca ratione partium machinulae liquoribus immersa-
rum, acqui N6 est ad Nq uE massa liquoris L cujus rolumen cA 16
ad massam ejusdem liguoris cujus volumen eAt N4; hxe vero masae
N16e N4 liquoris L. ponderabune 6P ec a P grana respectire, cumtot
crana cum Auidi L mastis modo indicatis in aequilibrio fuerint ri ob.
serrationis paulo ante delcriptxe; ergo graritas specitica liquoris A eAt
ad graritatem speciticam liquoris O, ut 6P ad 4 P, prout dicebatur.
Hlujus generis alia machina ex iisdem principiis construi porunt.
S C H OL LO N TI.
297. EtS me non laceat aequilibria Auidorum cum inter se, tum
etiam sblidorum corperu cum Auidis homogeneis ex aliis princi.
Dus nonnihil brerius posse deduci; scilicet ex fundamento maximi
descensus centri graritatis, quem omnia corpora inter se commissa aF-
fectant; seu, quod terme eodem redit, ab sequalitate momentorum
Corporum inter se agitandorum, cujusmodi principiis l’alcalius alii-
que usi Tunt. Verum, praeterquam quod talia principia indirecta
lunt, ea rix ac ne rix quidem absque longis ambasibus Auidis he-
cerogeneis applicari posse ridentur in ea univertalitate, in qua PrX
cedentes propolitiones ex principiis suis proximis directe deduxi-
mus; malui methodo ex fundamentis circa porentias singulis pun-
ctis cujesque corporis applicatis, quae in primo libro expoluimus,
insistere, utpore quae modum non inelegantem subministrarunt prel
siones Auidorum heterogeneorum ad aequiralentes prectiones Auido-
rum homogeneorum reducendi.
TROPOSITIOZIII PRODLEMA.
290. Datis diametro alicujas pia natama vada ratione spc
cisicae tdllatis meta caao piu paraldest; au aliquem quorem 13d
mogeneum, invenire diametrum cavitatis pila ad id requisitae, ut pila in
liquore illo homoceneo au andum profunditatem immersatur.
Sic pila FDF, ex et cametro ejus LiM, protunditale LMM, de
quan pra LGuOHL APB immersi debet, ec ex rarione r ad n scili-
cet