# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0205 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0205?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 183, page id 1032977698:0205 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=205 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000205.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine # Lines: 32 recognised, mean confidence 0.82 # 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. CaP. II. Analysis Infinitorum. culi intinitesima AB = 0. (quia D S eAt = Z) erit 20 = re. ec politâ circumterentia circu in directum in AE FG, FIG. XL IX. WEF F (IC = AB = 0, ec F. C huic applicata = DS = Z, erit E A = 0; _ CUEVA AC D E aequatio cadem cum spirali deZl = ric, Guxe ad Figuram XLIX relata est parabolitormis. Onde, 5. II. COr. I. AF C spatium cA = RCZ e F s = Omnia Z0 (eU OMMIA FCD F; CFSO C Z omnia r = Kr + s, = omnia c; sine autem omnia e= h, _ in Fir. L. ei aequalis AatuaTUE AF, CUI APBLICCIE ZC PCU Z, erit BujuS (C 5 CUEra aQUaTiO ErLSr = B; XC PeE aguationem Spiralis curra ablato c, ac a quarione intCE Z _ B 5 k + 5 5 k +.5 5 constituta erit d k 2 = k +5 Y b est aurem in Ficura. L. Spatium ABCH Sxi- ralis crolutum, adeoque hujus duplum, de jux- 125. 2X. COr. I. Xequalc a + 25, unde spirale k dr L. + 25, Ut Cupea jam (aepius inventum. 5. 53. Alterum, quod considerationem hic MCrCtuT, problema est, ex data eroluta inve nirc involutam. N 3