# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0037 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0037?run=74 # Title: [Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ (shelfmark Leibn. Marg. 149) # Folio 15, page id 1032977698:0037 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=37 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000037.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.83 # 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. d ON 5 1a +15 2- 1 et M M L F M M A T A. cedenti, ut r ad s ita quotliberx, ad coridem ; Icu (quod in posterum hoc modoenunciabi cur) ita omnia x, ad omnia y. 45. Ouin ee asuma tertia dererminata quon- titate b. SFucriEr: 5:: X: y. Cum sit quoque, rb. 5b:: X: y. ItCM r: 5: : b X: b y. Tum _ rb: 5: : b ∞: y. necHOM, r: sb:: x: b y. erit quoque in singulistilce analorix generibus eadem, ac in praecedenti, ae- Sumentandi methodus, ex Lem. 43. cum in AIR. Sulis prima proportionis ratio sit constans _ in- variabilis. 46. Ouod si aslumantur quantitates indeter. Minata Z X n, Ratque, ut LUPEa, r: 5: : X: y. cum SIt quoque rZ: 5∞:: ∞: y. ac etiam r: 5: : X Z: 92. TECM ~ Z: 5Z: : X n: Vn: eric, velue in duabus praecedentibus, uc, in prima analogia ratione, an- recedens ad consequens, ita, in secundô, omnia antecedentia ad omnia consequentia; con- clutionis fundamentum ex praecedenti d Lem. 43. Manifectum es. 47. Ouin _ in omnibus L Cm. 45 X 46 CasbUS, si in primâ proporrionis ratione COE SOPPONANEUE cermini, quorin sccunde, erie, ut omnia antece- dentia in prima, ad omnia consequentia, ita om nia antecedentia in secunda, ad coridem seu om- nia consequenria. Ouod probatione spcciali non cset, quipre ex praecedentibus sufticienter cognitum. 48. Sint