# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032704993:0017 # Permalink to this reading: https://leibnizlegible.com/page/1032704993:0017?run=74 # Title: [Bernhardi Nieuwentiit Considerationes Circa Analyseos ad quantitates infinitè parvas applicatae] Bernhardi Nieuwentiit Considerationes Circa Analyseos ad quantitates infinitè parvas applicatæ (shelfmark Leibn. Marg. 150) # Folio 11, page id 1032704993:0017 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032704993&page=17 # Source image: https://digitale-sammlungen.gwlb.de/content/1032704993/jpgs/default/00000017.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 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. Considerationes. D. CEI. Onancicatum quarumlibet, quarum sin ulae tiune omni data minores, differentia Eta EE OmmMI data MIMOF. EhoC lerites accendenti oblcurum eRe nOM Porest. S. IV. Extrac caula, quod quantitates propius 2d inricem aut x qualitatem accedanE, QuaM PrO data quaris difterentia, non legitime intertur cas cilermo ae quales ACKI. Dem: hoc enim pacto circuli subtangentem applicatae in concinsentix puncto aequalemul- rimo heri seoueretur: Quod ablurdum. Libro enim lE, Sect: II, Prop: X, exemp: l. 1PCaS a0 oe c (POCTaoinEinite parva) tangentis positio. nem in circulo determinare seu rationem sub. cangentis ad applicatam exprimere vulc D: Au- ehior; jam cum sint singulae intinite parrae, Icu Tales, Quae HUnE OMIMI datA MINOEeS, CAEII difterentia juxta praecedentem het omnidata MIKOr; quare, si hinc inferri posset eas ultimo aequalestieri, inferretur criam subtangentem circuli ec applicatam ultimo aequales Aeri; eadem enim utrobiqueratio. g. c. d. Poruissee hujus S intentum aliunde contirmari, lcd malui ex ipsius D: Auchoris placitis instan- EIAM FOrIaTC. 5. V. LX lemmare D: Authoris secundo huc conclusio directe probari Potest. Dis- ferentia