# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0197 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0197?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 175, page id 1032977698:0197 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=197 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000197.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine # Lines: 32 recognised, mean confidence 0.80 # 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. s H C AP. II. Analysis Infinitorum. Ouare POSica Z vel h ad locum quemlibet, altera h vel Z innorescet; nam quia h a = Z W, Cl. a: N:: Z: h:: Y: 5, Unde By = Z 5, X B= u Cum vero quidem aequemulta sint D H ScuC, QuaM ZI F PCU a, AC D E PCu _; sed infini- relInX D H tam commode in rectam projici hequeant, dc in Figuris ad axemrelatis; descrip- ta Cuera secundâ 35 N0 ad idem punctum relata, productisque OD in S, a F in N, SIaE O S ICU OR = Z, _ arculuS iI tinitesunus R S dicaturi, erit juxta 5. 1O, (p2- tium Os X O = omnia 25 Fac0 jam = 1= Ba, ipta LM dicatur h; critque spacium QX F seu omnia ha aequale duplo spatii 2 Q5NO seu omnium 2, nam h a = 2. quare polita alterutrâ h ad locum quemlibet innotescit Z, cum enim (II e D, V: DHI, c:: 5, 2: SR, 1. Ob arculOs D H _ SR P2- 1 1 a + Z Fallelos, crit. c = Z = y, hinc yy = 1 = a gnare +2Z = hyy. unde data h HOTCIMIEZ _ COntIa. Simili modo, posito 2i = hu, Factaque recta q e aquali CUEVX AD EF, dC se =