# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0294 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0294?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 260, page id 1041163592:0294 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=294 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000294.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine # Lines: 34 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. PHITLOSOPHIS NATORALIS SF C TIC De Densitate Co Compressione Fluidorum; deque drostatica. Definitio Fluidi. Fluidum est corpus omne cujus partes cedunt vi cuicunque illataes cedendo facile moventur inter se. PROPOSITIO XIZ. THEOREMA XIV. Fluidi homozenei es immoti, quod in vase quocunque immoto clau- ditur e undique comprimitur, partes omnes (seposita conden- sationis, graritatis e virium omnium centripetarum conside- ratione) aequaliter premuntur undique, e ab sque omni motu a pressione illa orto permanent in locis suis. Cas. F. In vase sphaerico ABC clandREUE _E UNItOFHILEF Com- primatur Duidum undique: dico quod ejusdem pars nulla ex illa pressione movebitur. Nam (i pars aliqua D moreatur, necesse est uc omnes hujulmodi partes, ad eandem a centro distantiam un dique consistentes, simili motu simul move- antur; atque hoc adeo quia similis ec x qualis est omnium prestio, ec motus omnis exclusus supponitur, nisi qui a pressione il. la oriatur. Atqui non postune omnes ac cenerum propius accedere, nisi Auidum 2d centrum condensetur; contra TIxpochesin. Non portune longius ab eo recedere, nisi Auidum ad circumterentiam condensetur; etiam contra FIypoThesn. Non portunt serraca lua a cenero di- ctantia moveri in plagam quamcunque, quia pari ratione morebun- tur in plagam contrariam; in plasas autem concrarias non porest DaTS DB MOTV PORPORDM 6