# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/789395444:0068 # Permalink to this reading: https://leibnizlegible.com/page/789395444:0068?run=74 # Title: [Renati Des Cartes Principiorum Philosophiae Pars I, & II, More Geometrico demonstratae] Renati Des Cartes Principiorum Philosophiæ Pars I, & II, More Geometrico demonstratæ (shelfmark Leibn. Marg. 31) # Folio 46, page id 789395444:0068 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=789395444&page=68 # Source image: https://digitale-sammlungen.gwlb.de/content/789395444/jpgs/default/00000068.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine # Lines: 33 recognised, mean confidence 0.93 # 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. 16 PRINOIPLA PHILOSOPMIA aC L F NIM A TI. Parefactio ex Condensatio clare ex distincte a nobis concipiuntur. quamvis non concedamus, corpora in rarefactione majus spatium occupare, quam in condensatione. DEMONSTRATTO. DOrunc enim clare ex distincte concipi per id Polum, quod parces alicujus corporis ab inricem recedant, vel ad invi- cem accedant; ErgO (Per AX. 4.) non majus, neque minus spacium occupabune: nam si partes alicujus corporis, puta Ipongiae, exco, quod ad inricem accedant, corpora, qui- busiplius incerralla replentur, expellant, per hoc Polum istud corpus densiusreddetur, nec ideominus spatium, quam an- ECa ejus partes occupabunt (per AX. 4.). Fit Si icerum ab in- vicem recedant, ex meatus ab aliis corporibus repleantur, Fiee rarefactio, nec tamen majus spatium occupabunt. Et hOc. quod ope sentuum clare percipimus in spongia, postumus (o- lointellectu concipere de omnibus corporibus, quamvis co. rum interralla humanum sensum planc efusiant. Ouare R a - refactio, e Condenlatio clare ex distincte a nobis concipiun- TUIF, EC. G. C. d. Visum fuit haec praemittere, ut intellectus praejudicia de Spatio, Rarefactione ec. exueret, es aptus redderetur ad ea, quae sequen- tur, intellizenda. PROPOSITIO I. Duamvis durities, pondus e reliquae sensiles qualitates a cor- pore aliquo separentur, interra remanebit nihilomi- nus natura corporis. D EMONSTRATIO. IY duritie. puta hesus lapidis, mihil alua TCMIESHODISMI Ca, HeC ac ip la clare e distincte intelligimus, quam Guod