# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067968:0100 # Permalink to this reading: https://leibnizlegible.com/page/00067968:0100?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 9 # Folio - , page id 00067968:0100 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067968&page=100 # Source image: https://digitale-sammlungen.gwlb.de/content/00067968/jpgs/default/00000100.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 64 lines, status machine # Lines: 64 recognised, mean confidence 0.78 # 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. si sit biars= valori per c:a, d:a, et ear 2) b: a = valor per c:a, d: a datur . priest tolli bia et datuor d c: a = d eac vulori per d: dX quod si alias ex aeq. 1 duxissemus d: a = balori per b: a, c: a EX et ex aqu. duxissemus d:a Valori alteri per b: a, c: a et ex aeg. 5 substituissemus conel conclusissemus b: a = valori per c: a inaeg.le _ sed aequationes e m et pro b: a substituendo Valorem ex 59. 1(vel 2) invenissemus et in aq si per a 2 C: a = valori be d. a+ 3 et 7 coinciderent sit b: a = vatori per C: a, ate cujus differentialis sit abide 2 es .F quantituli pro ducto utrcunque bia inc db: de = l producto ex nitoni patae ex data facto ex duabus rationibus quarum una producta et data ex data b: a altera data ex data c:a. Jam ex aeg. 1. ducatur alia e e 2+ en ordinaria b: C= valori per b: a unde rursus differentialis db: de = valo valori per c: a, b: a Aequentur inter se valores aequationum 2 et 4 freta bia in C:a = valori dicto per c: a, b:a; c+ aequationem 5 necessario coincidere cum aqu. 1. Exhec demonstami et omines aequaliines Abcaementales iols red ad hundis haec incrementalis tiitum eoredici ossit d dvidz= d. in B: D tacasts Nam sit d eu Arposite nit enentali redratnda gentrabter dy: dx= vulori perxx yix volcuuque sint liferae homogeneae in equatione in sec per se colae scavint romogencitatem (caeteris deglectis s si due quaedam Atur retoo earmm ex caepreris datis. Si tres perse, serviverom poritatem, seu quanutas si tres per se servent nomogentitatem, datur relatio inter tuns rtion rationites am ipsacum inicm uo duas exhis duabu per iationem ite tibais uncto ee ter uter alte rutram et terdiam asoeliqua nert e