# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068042:0007 # Permalink to this reading: https://leibnizlegible.com/page/00068042:0007?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 24 # Folio 4r, page id 00068042:0007 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068042&page=7 # Source image: https://digitale-sammlungen.gwlb.de/content/00068042/jpgs/default/00000007.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 57 lines, status machine # Lines: 57 recognised, mean confidence 0.77 # 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. a + lX + Cx. aequ0 bdx 1cdue dy aequ dx FL5. O +L F1I 0 + 21X + 21 y aequ. N. 11 dx + 21 dy aequ. N.. dy aq oruxFEIy + 12X,+ IRIXy + 2C97. ag. X. 11 dx + 21 dy +(2) 12X dx + (121 Xdy +n21 y dx +(e) 22y dy aequ. N erit dus aequ. a + (2) 1d7+n21y se dx 2 + 1121X + (2) 227- O+NXLyInxtauxyy+ ∞ 1 D + n Xy 4 n. X y + 13. X8y et aeg. 0. unde 10 dX0 10 f + n. y + 12. yy + 13 13 aq set rh has i 10.1. + d11- y dx. F 11 dy + d12. yy de 1 Eydy + d13. y dy (3713ydy Undela fiet: du aequ dio + dn. y + dirgy + d13. 9 + d14. y etescoE ax seu vey.- 11 + ( (2). 12y + (3) 13y + (4) 14y et seud st nonesse v ntius asfurgere quam eral y in aeq. 1. sed et possumus vollepe sit aequatio data: (420 + 21 (D + 22 vv 4 23 3 F24V et au et pro D subsciluendo valorem inventum fit ru 69. 3. e 20 80 +20 D Hino ordinando: s P. 21 7 ae22 e et reple De 3a 1 (5) 0+22) b23 et aequ. N e posito e esse exporentem muximae potentia ipsius V. Et pro D et C substituendo valores holbibitur aequatio exaequ 3. habebitur aequatios secundum y, comparanda cum aeq. 1. Altissima potentia in aeg. 1 est h, inaqu itaque D assumere posset ad v. e. hi e et () ad v . um tamen assurgi tantum deberet ad y. itaque quia destructio generaliter + et et non procedit nec proinde comparatio cum 4 aequ. 1. debet ean prius compaa attolli eg. 1. multipli cando Mer novam e suntami arbitrariam: 30 +31 y + 32y + 33y, etc usque ad 3C une fier aequ (8) ejusdem altitudinis cum ae qu. d. et cum ea comparanda 2+ dx e