# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0012 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0012?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 - , page id 1032977698:0012 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=12 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000012.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.91 # 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. P R Ai F A X 1O thorismentem, quod suo tempore expectabimus. Or vero in orbitam redeam, hac potissimum de causa principii, quod currarum propriccatibus methodo directa explanandis par est ac Fusticie, invencionem pariter ac demonstrationem distici lioresesereor, quod intiniti quid involvere ride- cur ipla currarum indoles, tale quidlaltem, quod conceptus nostros cranlcendir ac superat. Juam- obrem ec hoc iptum principium non nisi ex ipsius intiniti natura peti polle credibile est. Cum aurem hac quidem legc conditos nos roluerit creator noster, ut, licet majorem ac minorem quavis concepia quantitare nobis repraleneare Valeat imasinatio nostra, non nili Ainita camen aC mas- nicudine determinata concipere queamus, ad in- tincs ipsius nocionem reram adaequatamque altur- ero nequit incellectus humanus: hanc tamen, Polta quancitatis cujulcunque in parres infinitas leu omnem dacum numerum excedences dirisibili iate, ex iplius infiniti accriburis rericarem clicere datum est, (quam ec axiomaris ac tundamenci lo- eo careris subltrarim 15) quicquid per numerum in- Ainitum mulciplicatum nullam quantitarem datam, ut- ut exiguam, adaequare valet, entibus annumeranduns non est, ac nihilo aequale haberi debet. Cujus quidem ettati cercitudinem, aliunde ac ex ipsis etiam V c- cerum altumtis (Postul. lib. X. Fuclid. EC Archimed. de Sphaera Ec Cplind. AxiOm. V.) crincere in pro- clivi toret, nililuce latis Cua enunciatio haec ra- diare illis, quibus eam examinandam propolue ram, risa Fuissec,isie hoc quidem Colo ac unico principio celebriora haCtenUS reCenTIOTuM GCO AMCETa- M