# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/789395444:0072 # Permalink to this reading: https://leibnizlegible.com/page/789395444:0072?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 50, page id 789395444:0072 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=789395444&page=72 # Source image: https://digitale-sammlungen.gwlb.de/content/789395444/jpgs/default/00000072.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 recognised, mean confidence 0.91 # 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. PRINOIPTA PHILOSOPHLA aC. Nullae dantur Atomi. DRMONSTRATTO. Tomi Cunt partes materixe indirisibiles ex Cua natura LA (per deF. 3.): Sed cum natura materiae consistat in ex- centione (per prop. 2. hujus), quae natura lua, quantumris parra, eA dirisibilis (per AX. 9. _ det. 7.); ergo pars ma- teriae, quancumris parras natura lura eA dirisibilis, h. c. nullae dantur atomi, sire partes materiae natura lua indirisibiles, 9. C. d. CIIOL IV NI. Aena e intricatd quaestio de Atomissemper fuit. Oui- L a ca ale aa Atomos, ex co, quod infinitum non potest essemajus alio infinito; ec ( due quantitates, puta A ee dupla iplius A, sint dirisibiles in infinitum, poterunt etiam Dotentia Dei, qui eorum infinitas partes uno incuitu intelli- sic, in infinitas partes actu diridi. Ergo, cum, uc dictum ett, unum infinitum non majus AE aliO in ANIEO, CFIE QUanEITaS A aequalis suo duplo, quod est absurdum. Deinde etiam quaerune, an dimidia pars numeri infiniei sic etiam infinita, _c an par sit an impar, e alia ejusmodi. Ad quae omnia Carcelius respondie, nos non debere ca, gux sib nostrum intellectum cadune, ac proinde clare ex distinete concipiuntur, rejicere propter alia, quae nostrum intellectum aut captum excedune; ac proindenon, nisi admodum inadaequate, d no- bis percipiuntur. Infinitum rero ec ejus proprictates huma- num intellectum, natura scilicet Anitum, ezcedune; adco- que ineptum Foret id, quod clare ex distincte de spatioconci- Dimus, tanquam Falsum rejcere, lire de eo dubitare, Prop. TCTCa ACLAITIC