# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/789395444:0086 # Permalink to this reading: https://leibnizlegible.com/page/789395444:0086?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 64, page id 789395444:0086 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=789395444&page=86 # Source image: https://digitale-sammlungen.gwlb.de/content/789395444/jpgs/default/00000086.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine # Lines: 36 recognised, mean confidence 0.92 # 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. 64 PRINCIPTA PHLLOSOPHLRRC. Orpus quod circulariter oretur, continuo a vi externa impeditur, ne lecundant lineam rectam pergat moreri per corol. praecedentis): Iua celtante corpus ex se perget le- cundum lineam rectam moveri (Der PrODOL. 15. ). DicOPEaeterea corpus, quodcireularuer mOre tur, a caula externa dererminaris uc lecundum tansentem pergac moveri. Nlam, sInCsAS, POna- cur lapis in B a Fundta ex. 8. nOn secundum tansentem BD deter. minari, sed secundum aliam li- neam ab eodem puncto exera, auE intra circulum Cenceptam, ut BF, quando Funda ex par- te L. verlus B venire supponitur, aut lecundum BC (quam intelligo cum linea BEI, quae a centro ducitur per circumteren- tiam, camque in puncto B Cccat, angulum constituere ae qua- lem angulo FBLI), si contra lupponatur funda ex Parte C vertus B reniro. AC, Si lapis in puncto B supponatur à funda, qua ab L. vertus B circulariter movetur, determinari, ut ver- lus L pergat moreri: necestario (per aZ. 18.) ubi funda con- traria determinatione a C vertus B movetur, determinabi- cur, ut secundum candem lineam B S contraria decermina- tione pereat moreri, ac proinde vertus R non vero vertus C cendet, quod est contra hypochelim. Er cum nulla linca, qua Paiet es per punctum B Potest duci, Prater tansentem cacui Postit. prop. 18. 19. lib. cum linca BHI angulos ad eandem partem, ut D BII, e A 3. Elemt. B EI, sequales eAiciens: nulla Praeter tangentem datur, quae candem hypothelin servare porest, sive Funda ab L. vertus B, live a C versus B moreatur. ac proinde nulla Praeter tangen- tem Caruenda eAt, secundum quam tendir moreri, g. c. d. AL I- D E MONS T R A FTO.