# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/789395444:0099 # Permalink to this reading: https://leibnizlegible.com/page/789395444:0099?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 77, page id 789395444:0099 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=789395444&page=99 # Source image: https://digitale-sammlungen.gwlb.de/content/789395444/jpgs/default/00000099.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 65 lines, status machine # Lines: 65 recognised, mean confidence 0.78 # 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. BeF nea eter La Ua- luo Um mo- um 1a1- MO. ram ITui (e p D0 10. I. C3 am OI um 2. C. On t1- 12. c m m P A R S TI lieam determutationem amitreret: mutatio ieitur secundum notulan uspocen, quoniam in Cola determinatione est, mi. nima erie, quae in hilce corporibus dari potest, ac proinde Per prOP. 23. hujus) nulla alia continget, 9. c. d. Potandum in demonstratione hujus P ropositionis, quod idem etiam pos est in aliis locum habet: nempe nos non citasse propof. 19. hujus, in qu’à demonstratur, determinationem inteoram mutari posse, inte. eronihilominusmanente ipso motu: ad quam tamen altendi de- bet, ut vis demonstrationis recte percipiatur: NNam in prop. 23. hu- jus non dicebamus, quod rariatio semper cric absolure minima; led minima, quxe dari potect. Talem autem mutationem, quae in sola determinatione consistit, posse dari, qualem in hac demonstratione sup- posuimus, patet ex Propos. 18. e 19. Bujus cum C oroll. PROPOSITTOZZIK. RCG. 5. Si corpus quiescens ’esset minus, quam B. tum quantumvis Btar- Vid. F.8. de versus A moveretur. illud secum movebit, partem scilicet sui Propos. 30 tus et talem transferendo, ut ambo postea aeque celeriter move- antur. (Leze Urt. 50. Part. 2. Princip. ) In hac Recula etiam, ut in praec. trestantum catus concipi poltent, quibus contrarietas taec tolleretur: nos vero demonstrabimus, quod secundum nostram hypochesin minima mutacio in hisce corporibus concinsit; ideoque (perpro. Pol. 23. hujus) talimodo etiam rariari debent. D E M O N S F R A F FO. Ecundum nostram hypochesin BcranSFerE in A (DEF PFO- Dol. 2T. hujus) hinus, quam dimidiam partem Cui moTus, (per corol. propol. 17. hujus) minus quam dimidiam par- tem lux decerminalionis. Si autem B non raperet lecum A; scd in contrariam partem reflecteretur, totam luam determina- tionem amitteret, ex major contingeret variatio (percorol. propol, 26. hujus): e multo major. Si totam Cuam determi- nationem amitteret. et limul partem ipsius motus, ut in ter- tio casu supponcu, quarevariatio secundum nostram hy po- e etm elt ma3 G. C. C