# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0178 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0178?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 156, page id 1032977698:0178 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=178 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000178.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 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. undei Sinalrsis Insinitorum. 10- ne B CAP. 1X. TII. Ad collendam 2, cum haec tanoentem Spectet, (ItO + =i 5, OT = = M, Crit m: 5: : c: p + Ccu mu + m a= se; sed ex ordinaria currarum proprictare c + = sC, cujus ope Tublata W ex modo inventa aeguatione, exit t5C M5C em qui tandem valores in ipsorumo, i, a, locum repotiti, ac dirisione per ultimam e instituta, hanc aequationem reliquam faciunt: 21+ db + b - 2F- 2n + 85t- 85M Em Unde, tribus exh, d, 2, 6, Pro arbitrio 2Num- tis, ulcima manifectatur. Schol. Noretur, cum ad singulas lineas, quae pro raris ad currasrespectuac positione magnicudinem varianE, sin- Bulae perrineane infinicesimae, quibus rel ab une vel abu- 2raque Cui excremitare augentur aue minuuneur; ac nulla sc curra, ad quam infiniex. Calcem prolubicu mulea, ca- desindererminaca muleis modis referri non valeane; que- rum singulxe in quam libet intiniresimam ductx, sinfinicies Tumantur, currilineum aliquod efformabun; hoc ipsomer hodus paret ac racio, cransmurariones ac spaciorum qua- dracuras plurimismodiscentandi; qui hactenus, nifalli- mur, terme incacti Machemaricisremanserune. Fxempla quiliber ac theoremaca proprio marre, ad praecedencium normam, sibi cuder; unicum hoc addam in minus exerci- catorum praciam: uc parear infinicesimarum curvitineo rumq: hinc orcum ducentium numerum ac rarierarem, A re- dimus, in singulis currisnullo limire cdercert. 22 P