# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0324 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0324?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 302, page id 1032977698:0324 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=324 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000324.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 recognised, mean confidence 0.87 # 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. 302 Analysis Infinitorum. C AP. X I. CAtX F P: aCSIE F. S axem in S SCcanS linca candem ad punctum P. linea (que ad ipsumres pectiras relationem habens, quam habeE DR ad punctum D, lincasque hoc ipsum similitet spectances; supposico jam lincas D R DS protractas in Y sibi mutuo occurrere, idem que feri ductis similibus lineis ex omnibus cur va AD F punctis, crit peinctum V ad novam tInC OPTAM CHEVaM VI; cujus natura quaeritu e constructio. Ouem in Finem, producta D FI utrinque in B dc O, diCanEHE HT: 2, HO: 8, MIN: 03 RS: n, quacum singulae juxta lemma 42. sunc infr niTCTIX, BD vero appelletUE: pu. Tandem (i DV: Z Crit RV = 2 - p. Jam ob triangulo. rum DOV ∞x S RV similitudinem est OD: DV:: SR: RV. (CN CF 8: Z:: x: Z - p. unde ∞C+Z0 = pC = p∞ = Z_, (SIBHCTUE X. ) EIM X, ob rectarum BO ec FS paraIleliSMUM, est BH: HO:: F P: PS. TCU p Y C: 8:: Y +. C + 1. b = e + x, UNdC Cum B D PCU p Cx leMMM. 41. nihilo aequiraleat, amoris juxta lemm. 10. FC. jiciendis, Siet b e = +0; QUIX Cum inventa mo- do xgnatione lictera X notata (iad p determi- HCtT, ex VtrAquC OriCtIE b Z C = b p C = p+ C + FZ e = tZ 2, (signCtUE Y) lxC aurem cum ins nItCsIAS C ex= adhucdum contincat, ilin re perienda eAt aquario, cujus opcrolli posine, qua uIXI