# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0377 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0377?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 189r, page id 00068198:0377 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=377 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000377.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.84 # 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. itter auperfectiones caleuli est Neic tialis est, ut no quod talia ummanos non possunt etsi ab implicatione liberatba ddus dex ee Iadeamque e ponamus. uc esse progissionis Geometrigae jaq seu essi uddus duau fict utique ert y: a = du: dβ posita aB constante en y= adycdB et habetur summabilitas la nam fiet adqe dß = ddx seu dBlogdu = rept aedus et datur relatio inter Ex, dus et de Adeoc t ebitur Edx: dy ex dy: a(B seu y: a ergo landem habebitur et dx per quadraturas possum quidem semper rem reducere ut d’y b habeatur ex solis affectionibus ipsius X sed cum tunc itreguta isgutanis earum prodeat combinatio pon licet venire ed summationes, pans. non licc, summare X dax si non detur certa ad hunc rem apta relatio inter n, ex dax Liagere. Si X: a L si X +BX = adx. Xddx- acx adx: dC pg. umus seu e sublato nec licet quamvis Spedx a duxaxdu 4dx: dB, fiet dB et fiet et (Adax = adxdx a(3, e adx: X seu xdd X dxa D sit . sed si sit a: X = dx: dE = adE: dx et sxdex erit = a adE log. et sublata de = xex: a fiet utaque posita dE constante fiet Xddx = xdx l0gdx. En que duae qui duo alores sxdax non oscubiunt inter se