# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0036 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0036?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 14, page id 1032977698:0036 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=36 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000036.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine # Lines: 34 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. 4 E. F M M AI A. CF: F F. 3: :. L: k. CrBOHE seUK = F. eit m m SMM nihilo, Lemm. 4O, Y1. CD: D A:: CF: FII ma 0c m.: 5 (eu =: l, unde F H SCuIF - min seunitrilo. 42. Ouare liquer, retenta cadem FIypothesi lincas, CF, CF, C _ sibi inutno equari; et FF, F HI, FI F nihilo aequipollere; adeoque omnes quantitates posterioribus hisce multixli- catastuto ex calculo algebrdico, uua cum iis- dem, deleri pose. 43. Sine quorlibet antecedentias c; d, f. ec, toridemque corsequentia e, B, l, ext; irem exposica ratio in lingulis corstars, ut rad S, UEsIE, r: 5:: C: g. tUM r: S:: d: B. BCC BON r: 5:: f: l. E sic in cxteris; dico fore, uer ad5, ita omnia antecedentia c + d + f ec. ad omnia consequentia e +h+ l, exc. Hoc exclementis nocum est. 44. Tisclem positis, sint quantitates deterivina- tae, hoc est, quae candeni continuo ac invariatar servenemagnicudinem r, s, b, item aliae inde- terminatae, X, γ, 2, n, Tive tales, guarum magnitudo pro vario respectu, aut politione varia est, licet eodem litterali sirno perpetuo ex- Primantur, quale specimen omnibus notissimum in Alsebedica locorum doctrina incognitae dicta quancitates exhibent; si fuerit in sinsulis, utr ad 5Ita qualibet x ad sibi relatum y, erit ex pret