# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068199:0155 # Permalink to this reading: https://leibnizlegible.com/page/00068199:0155?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c # Folio 78r, page id 00068199:0155 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=155 # Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000155.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine # Lines: 61 recognised, mean confidence 0.81 # 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. generaliter invenimus esse sit mn = rea (et bse eydx + aady) = a seex s investigetur data sit jam formula ap ydx tagdu Argydx + sydy, ea sd multiplicetur per fb poductum debet aequari ipsi (9yy + hy) dx +(dg Hy + 2gydythlys + ydh) multiplicato per b sixi Y et res co tantum redit, ut faciamus dala esse compositam ex dua esse Odx t hdB, posito D =9gy+ hys ggydx + 2gl ydy + Ihdys +hydx ~ Ilgy d9s aaly dh frygdx ta fydu +aafadus + apsydx. 5= 2agl: fa = Ih: 9 fit h: 9 = : q seu h = 20g:9 ob ultimum terminum fit X 9, + 1 ~ dg + 194 = f 2p Lgex seu si l= (p 9E~ dg - 9d ba (= 259 x: EgA 289dX - dg - 9 dae ac aa seul hatetur per notas dg: 9 Rursus ob terminum ss fit agdx tadi (pot) 4, aglx + (a dgs - 29) (V1) x c unde habetu tandem dg :9 2PIX - 2 9- d 2 Inasut aa laxias per ly + am, et fiet: gy1 glgu + aflydy + ans mdlus + am angyux+ aaemdu bsan quod equandam iato multiplicato pes h, bs in datae oh gydx tah aydys +. hapys dxt haa quy, b fit h = glia et Ngl = af, seu g - afrro, et apq et 5vgl = afl seu 9 - af: V et a glp = amgs, fit l= am: p et h= aa fm: aPV = afm: pN. ande tandem _ h9= fm, seu _ m: pV = fmr s ita evanescit sa, sed habetur f- Po: q ita h= a pa m. 49 Et fit aq = prs in Haec ejus via limitaam est, sed prior successit qu maximi momenti foret, si calculus foret saccuratus, ita etum absolatae essent diffe- ationale shonales simplices u quabus ffectio sipsius incognitae alteratrius non assegnt ultra rectangulum seu intra ydy vel do gy ix si dydus concyrreret differentia non foret rationatus Rresumnum calculum sit aequatio differenturis ntiualis prim gratus rationans, non ultra dectangulum affectiom sascendens agyax + quy dy + apyax + aaqdus nax, multiplicetur per hbacs a produchio aequetur ipsi quax rutau bso t aer 3t an sas af) aaia d. ine ahagl sum hc alia Al. hos = gla. a ti = a5. a . suet= Api a, fit l = am. P