# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0349 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0349?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 175r, page id 00068198:0349 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=349 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000349.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine # Lines: 49 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. urum addi posse varia membra in membrum unum interventu Cogarithinorum et numerorum. et ax Y by = fiet X+y = X1y = Xy + ∞X fit b t p e vator ipsius dam C Ex 1+V la e fint b e+ b = (y+V X a =b duus solius sine interventu ipsius adx non potest haberi aiis habeatur puogiest seu relatio quoedam hypothetoa. en Hy perbola o YV = aa fit Xdo + vax =0 hinc v sublata, v fil XX de aqdua et Xx ddv + 2xdxdut aa ddx-o similiter invertenit lando xet Y, fiet veddx +2Vdvax +aa dav =o quarum duam eeqque opelollatur ddvfiat - - Ex dxdv - aaddx, : XX -vd ddx - 2vd vdx,: aa. Ergo fiet dux ddp- 2xdy dd X = 20 a X dxdy - 2XX Vdvdx,:, ve XXVV-a, ubi reperio e seu ubi vel fit Xv - aa = 0 vel ddx = 2X dydv,: aa 1LY ZXV sed cum prior sit ducta ex visceribus probrematis altera non vrde permissa. Et sanc ex ea oritur et aliacurva. Nam quia XD = aa vet duxi ex axaraaseu adx rdudoina seu aa: X= fint ddx = 2X dxdv l., 20+xv seu ddx = axdo: v. seu fiat loque dx = log log. D quia autem in porsate est facere av constantem seu b = b. unil frett quia autem licet asseemere d coarstantem, feasi (axido - via seu lx: de = v:a, quae est ad Logariumtam Non enos nosyperbolam. videndum an semper quaerendo pax simplicite ene adu, perveniatur ad tengmom aequadem nulla assumta pregressione t s pervenatur