# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0267 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0267?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 134r, page id 00068198:0267 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=267 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000267.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 65 lines, status machine # Lines: 65 recognised, mean confidence 0.74 # 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. (1 dy = faat b a aa + cx aa aa e sil saxa VV aa +af.l Sdxa et differentiando fiet. leny Caxa: v et et fiet C seu fiet aa que D2 Lda 7mo ua vo a +b(2). = a + 612).. ax 6 e v dx Acvvdx (dx e V = a =a,:, c- baa Et ex 6 est - covaxsixradus et a incab vocando s.a frit ex7 et 8, sax seu cet a Ex 7 est (a- a0v iita habetur es (a +b(2s..) - - dx b X- seuet fiet aa - fado = Zaa b dr s. = flab Pis jdx la sit d do rd e a. v dy: dx = a: v aaa,-dv (DI au cvv-baa =d vV (saa-fuv)aablx- atvdu vrivecov tat a auv aubdo aabdo- ade,: covdxtaba cov-baa dx valore, sed eali, ut summatio non sit facilior quam ante siterdum tamen haec hovi geners limusformatio prodest potest ita habetur dx per bo et , qui vator ipsius ex substitutus in ag. 3 dabit norum valorem ipsius y per er)dv. D pru qui et si non videatur sacilior dato tamen exhibere videtur aliquid novi. Et forte pro V assumi potuisset alia formula v. g. vetaa: a vel aliud quiddam aptius ad calculum in resultatire contratendum posset scubi y= ax via et dy: ex = v: a neviter y= (x Z: a dy: dx = Z: a = 4, a + b ((2) sax. Z: aa),:, a+ C ((( saX. Z: aa) seu ye t a L2 t c7y11)5dxZ re a + baa ) Sdx. Z ubi differentiam D et deindo tellendo summalem temnar; habetur dx: dzu per: