# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0131 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0131?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 109, page id 1032977698:0131 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=131 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000131.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine # Lines: 29 recognised, mean confidence 0.84 # 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. I Car. I. Analysis Infinitorum. lonon adstrictos comprehendar; liquidem, cum exhrpotheA Fuerir h2 = m X + m, (IC X m qui ralor in omnibus iplam Z componencibus terminis repolcus efficier terminum 9 h921, qualem primo loco desideravimus. Onde Pater l TVExIE =i X P + Y Nn _C. in SrX +rrq hoc est, S subnormalis valor expri- matur per quodlibet signumradicale (sub quo x ad plures unica dimentiones non aNursit) in quoelibet numero terminos limplicesx continen res mulciplicatum; crit ad CUrVAM, CX PERCC denti, reducibilis; cujus aquatio levi nesOTO sc pander. Coroll. 2. Si vero EaE B = VC X + Y X X, erie g = 3 e (A8) 3 X +. 2 Y X X; POEIO. que (A8) =Z X CIIE 3 X N + Z Y N Z 5 UM- de Faca decerminaca erit sel = 2 X X + Z V X sCx +YX X; e aquatio reducenda 9h4+ My. Teu 3h, i = m ya: quX rccucta dabit xquationem curra IB= = n y y, CX X9u12- tion reducenda, juxta 5. 99, reTULtanTeM HinC sequitIE, DOsItO (A5) = ZX CCu 2; I hsic a qualis cuilibee quancirati irrationa li x continenei; ac 2 cam mulsiplicans sit xqualis Cumma cerminorum sub signo cagieali copula FOTUMI +C