# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068041:0003 # Permalink to this reading: https://leibnizlegible.com/page/00068041:0003?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 23 # Folio 2r, page id 00068041:0003 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 1v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068041&page=3 # Source image: https://digitale-sammlungen.gwlb.de/content/00068041/jpgs/default/00000003.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 77 lines, status machine # Lines: 77 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. 2 nis Geometricae , _ et C. quartitatem 34 culibet Termino minorum Nolandum autem summoperelicet adjecissemus ferici progu ret 25 125 aliquam communem eandem, tamen habuissemus verb. g. unitatem, scribendo 152 125 tamen mansissent eodem diffecentiae 10 125 sola 14 5 6 2 2 25 se 1050 27 27 vid praeterea su si assumatur Z aequ y + b C ta mendque foret eadetum quae dus Unde si y, esset non ut b sere: au tamen maneret idem et paus quia ce fuerat dyaequ e esse dx. y: Y Nunc pro quia G aequ posito ldu 23 vel 2 et c. Est autem aequid+. et 7 et b 125, seu differentia interi + -D, cuposito y fore 2 vel 34 et C. 25 aequ. L 125 si scilicet, sit unitis) fiet. dZ aequ. ax. Z. b. r. item idem esset si Z esset non y ub sau b-y vel y+ b. differentra inter vyet b, sed summa. Erit ergo 17 ad dx. ut disferentia vel summa ex X et b ad Y idq ad signrase accommodari poterit si ducta recta s ad hibeatur AB seu y ut autem ipsi CA paralela, Bt s y non ut ante ABsit hoc est sed LB fict Z at AB vocetur y seu +) .b sive -b17 sive b +) seu erotque d+: dx seu BA, A BA. AR ii y: r :t 2IbqV Ca tamen ordinatae AB suu progressionis Geometricae ipsis CA vel MH existentibus airthmelicis) non vero vidi natae LB. Hinc axis CA regulariter axi ML praeferendo porro pront ipsa Y seAR constans alia atque alia assumitur etiam alia atque alia prodibit lineazogar Thmica. Nam alioqui ea dem ordinatae progressione Geo metrica collocatae cadent in quarlibet sogarithmicam magoia pont modo intervalla ponentur majora, vel minora autem proportiona fient pront ipsa ex mapita constans differentia ipsarum X Arithmetice crescentium major aut minor assumitur, manentibus autem ipsis manent et ipsae dy et isdem manenlibus y et d ipsa dx isis r proportionales, quia dy. aequ ax.Y. Ergo ipsae ax adeoque et ipsa intervalla inter deasdem numeros easdem ordinatas eiuit Logantimicau in quibus ununtur constantitus seu nulleris plimariis ut ego vocare solleo proportionales. Et proinde si duae sint curvae Loga a qusen gumaro pro Loganithmo tunc logarithmi eunt seu ut appellare soleo Numeris primanis iuus logandiniea proportionales. sa si ver Nimu