# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032704993:0018 # Permalink to this reading: https://leibnizlegible.com/page/1032704993:0018?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 12, page id 1032704993:0018 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032704993&page=18 # Source image: https://digitale-sammlungen.gwlb.de/content/1032704993/jpgs/default/00000018.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine # Lines: 32 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. l2 Considerationes. ferentia fieurarum FOFNITINL. IO AF. e DFPTIS TR AD, quarum altera (F18: 3.5 curvilinco LC A circumleribitur, altera in- scribitur (axc AF. in partes omni data mi nOres di(CeEPEO); sit omni data minor. Dem: sic enim aroumentatur vir erudicis- Tiunus lemmare citato. Figurx inscripea _ circumferiptx differentia est rectanculum BAC. Sed hocrectanoulum Ac minus quo- vis dato; ergo (directe sequitur) carum dif- Ferentia sic minor quavis data. S. VI. Polica hac enunciacione, quan:ita- res, quae dato tempore ad aequalitarem constanter tendunt, funt ultimo aequales, non poterithujus ope demonstrari, ullas unquam figuras tieri ultimo aequales; nisi ec conditionem, quod dato tempore ad aequalitarem constanter cendant, cis tiguris comperere jam crictum TIF. Demonstratione hoc ulteriori non indiget. S. VII. Lemmatis primi D: Ruthoris de- onstratio hoc potissimum aroumento ni debet, quod quontreates dato tempore ad aequa litarem constanter tendant. Dem: Lemma enim hoc crincere Au dec, quantitates qualdam ultimo aequales tieri, duabus de causis; prima est, quod ad aequalicatem tendane; secunda, quod pro- pius ad inricem accedere ponine, quam pio dati