# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0080 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0080?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 58, page id 1032977698:0080 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=80 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000080.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine # Lines: 36 recognised, mean confidence 0.92 # 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. Analysis Infinitorum. alia vero currarum genera prxcedentibus proxime paraeraptiis exxendimus, ubi nimirum ee ip(x parame tri indererminacae, ac in singulis currarum punctis ex Loci, ad quem perrinere supponuneur, lege variae Fue- TUnE; manencibus incerim poceltacum indicibus derer- inatis ac constantibus. Ouare _ curvarum ordo ad eas impraesenciarum nos deduxisse videcur, in quibus po- rectacum indices in singulis cnera punctis immutantur. ruarum considerario, si plano nova non AE, trira laI rem ee muleis obria censeri non deber. Ac cum hac in parce Geomerria ac imprimis problemarum, alias Patis dif- ficilium, constructio maximopere posit promoreri; cx- que currae in Machesi pocissimum ad res Phylicas appli eaca Frequentissime occirrere, quinimo enasei lua sponce videantur; nec earum in plano delineationes ulque adeo sine coenitx; operae Fortiran Fuerit precium hilce curvarum quandam speciem praemitrere; quas ee ipta natura quan- Loque Formare deprehenditur, quarumque propriecas ex pressa aequacione, ad instar aliarum, primâ instantii et terri minime oler; quae camen curvarum modo recensi- carum orieinem, ac descripciones in plana, plurimum illustrAnE. C A 42. SIC, FIG. XVTIT. NO. 3, recta AF de- terminata f, cui in dato quolibet ansulo AFC applicetur recta P C itidem determinata =G; Ca conditione, ut (aNumtis ipsius AF ParTC aUE parcibus quibusris aliguoris AHI, AB, _C quinimo, si visum fuerit, in ipsa A F pro ducta, ipsius A F in data quavis ratione mul riplicibus AD, AR, ecc.) Li ad singulas aNum- rarum extremitates FI aut B, aut D, aUE R eF similes, Cingulae rectae HI N, BC, DF, X M, eC. respectire applicentu, ipsi Fe aequidictantes, Ma