# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0295 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0295?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 261, page id 1041163592:0295 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=295 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000295.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine # Lines: 49 recognised, mean confidence 0.89 # 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. PRINOIDTR MAEELEMADTCA. 261 pars eadem, eodem tempore, moveri. Prgo Auidi pars nulla de l0- LIDen co Tuo morobieur. . F. D. 1 1312 EsteI B SECONDOS Cias. 2. Dico jam quod Auidi hujus partes omnes sphaericae aequa- liter premuntur undique: sic enim P. F pars sphaerica Auidi, ee si haec undique non premitur sequaliter, auseatur pressio minor, ul- que dum ipla undique prematur aequaliter; a ParteS CjuS, PeT Casum primum, permanebune in locis luis. Sed ante auctam prel- tionem permanebune in locis luis, per Calum cundum primum, ee additione prestionis novae morebuntur de locis fuis, per definitio- nem Fluidi. Oux duo repugnane. Ergo Falso dicebatur quod Sphxe. ra P P non undique premebatur aequaliter. d. F. D Cas. 3. Dico praeterea quod diverlarum parcium sphaericarum e qualis sic pressio. Nam partes sphaericae contisux se mutuo pre- munc aequaliter in puncto contactus, per motus Legem TII. Scd a, per Calum secundum, undique premuntur eadem vi. Partes isitur dux quaevis sphaericae non concigux, quia pars sphaerica intermedia cansere potest utramque, prementur eadem vi. . L. D. Cas. 4. Dico jam quod Ruidi partes omnes ubique DrCmUNEUE aequaliter. Nam partes duae quaeris tangi poltunt a partibus Sphxe- ricis in punctis quibuscunque, de ibi partes illas Sphaericas aequali- ter premunt, per Casum 3. e vicissim ab illis aequaliter premuntur, Per Motus Legem tertiam. 9. P. D Cas. 5. Cum isitur Auidi pars quaelibet GFYY in Auido reliquo tanquam in rase claudatur, ee undique prematur aequaliter, partes autem ejus se mutuo requaliter premant ee quielcane inter (c; ma- nifectum est quod Fluidi cujuscunque CFPL, quod undique premi- tur aequalicer, partes omnes se mucuo premune aequaliter, ee qui CTCUnE inEeF IC. Q. F. D Cas. 6. Tgitur si Fluidum illud in vase non rigido claudatur, de undique non prematur aequalicer, cedet idem pressioni Fortiori, Per Definitionem Eluidicaris. Cas. 7. Ideoque in rase risido Fluidum non suctinebit prectio- nem Corriorem ex uno lacere quam ez alio, sed eidem ceder, idque in momeneo temporis, quia lacus ralis rigidum non persequitur li- quorem cedentem. Cedendo aurem ursebie latus oppolcum, et sic pressio undique ad aequalitatem verget. Ec quoniam Fluidum, quam primum à parte magis pressa recedere conacur, inhibetur per resistentiam rasis ad lacus oppositum; reducerur prestio undique ad aqualicatem, in momento temporis, ab sque moru locali: de sub- inde parres Auidis per C aTUM QLIHEUI, IC MUEUO PTCMENE aequa- liter, de quiescent incer (C. d. F. D. Corot. IIIIIAIIIIIIIIIIII MIHIISIIIISIPIIIIASIIIIHIIIIII II