# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0123 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0123?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 101, page id 1032977698:0123 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=123 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000123.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.90 # 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. C. AP. 2. Analysis Infinitorum. 95. Nocetur, quod in sequentibus utum ali- quem praeltiturum est, ex mechodo modotia- dita sequi, quo pacto, FIT. X X ZZ. ex dati in- tervalli cujuoris R (quam lineam et sab- normalem in legq. rocabo) valore analxtico CUIEVZ AD F aequatio conreniens indasari pol- SIE, 7O.Ita enim ii vens seu F = I, urinotum; quae subtangentis exprettio ad terminos proximas reducta, juxta 5. 94. requilitam eguationem prodet. Schol. Drxecedencium demonstrario ex 5, 14, 17, 35. non dissiculcer coltigetur; cum, quae issibi circa metho- dum caneentium directam praecipianeur, bie ordine re ironrado sine cradica: ac solus jam cerminos remotos Lab. tangeneis ralorem exprimences ad proximos reducendi modus hac in parre desiderari videtur, quod effectum da- Dicur, s cornira sic mechodus aequacionem datam in duo Loca, vel duas porins aguariones, resolvendt, cuae da- tam inter se legem e condicionem obferrane, talem sei- licer, qualis incer requarionem currae, camque, quae suh- tangencis valorem exprimir, ex supra eradicis requirieur. duod, quam variis modiscentari queac, equacionim con- sructiones palam Faciune; hoc errim calu aequationem ea- cam quameunque in infinici severis loca dirimi, in eagu quodliberfere quancirares, ex allumex hypocheleos insticu- o, seu aequarionum, cum ipsius CurVa NacurAM, tum ejus subcansenrem exprimencium relarione mutua, decernri- nationem patiences inrehi pose, post edicum Celebetr: Slusii Mesolabum nemoignorat. Cunque jam cermini subcansencium proximi ex mectio dis 5. 143 173 35, oriundi ex facili dignolenneur; nssi nimIITUMI currarum aequaciones per unius pluriumye cus