# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068217:0049 # Permalink to this reading: https://leibnizlegible.com/page/00068217:0049?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4 # Folio 24r, page id 00068217:0049 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 23v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068217&page=49 # Source image: https://digitale-sammlungen.gwlb.de/content/00068217/jpgs/default/00000049.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 88 lines, status machine # Lines: 88 recognised, mean confidence 0.75 # 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. 208 162 2qu abc Dy argo a X + ab 2y equ X X - a oaatb +2 l.5465 54 ap 1654127 - 18 -9 aequ. 0 216 129 - 729, +243 -27 8) aqu x - 3 2 X 1 3aX- a s =2q aqu BZX + ae lo X - 8 a2 83 2 414 1 2aq 4 12, 2 + 13, 3 fe - 63 aequ. 0. - 162 (Frg (2,129 + 162 (F729) - 108 - 54 aqu N - 6y4 + 6ZX + gy X - nyZX - 29 +37 26Zβ a -1ZX aetix + 2a 2X =4b 13462 Ergo X = 3a X - 3Z X + 3at X + 8 a ZX - a aequ. 0. Xaqu atb. +C. +2ab.. reg rn a4 + 2td 729 -79 = 216 +81 + 72 Habemus ergo duas aequationes: 75+ +216 X - 10 a X - 28 X 4 17 aX, + 124 a Z x - da 79 r9 430 ab. X 216 +8a62 aequ. 0. +48abc X - a34 X - 9Z X3 +3a X +8 aZX - a aequ. 0. +Zaeb. X deniue per dicta sigua C V +a2 (Db (1729), 432 + 216, + 72 P2X + 3a N + 6Z X +8ab X + 8a Z X +6y2 2a aequ. 0729 +47 Si aequ. 3. subtrchas ab aequ. X fit 3X - 6a X - 24Z X +3a X x aaqo -64 seu X , - 2a X 8qX + a X 0 4 -24b p 729 48b - 216 - 27 iler seu X - 2a X - 8 fZX + a frustra erio addatur aequationes subtichitur aequ. 3. ab aequ. 2. Si addantur fr aequ. 2. 3. fier (6) +X, X X = 8ZX- 43a X 2ibae Z X + 2a aequ. 6 nus = 216 -10ab.. -351 144 = 2442 = 1272 59- 18 e Ex omisus his aequationibus seunda maxime = i2 probanda videtur. aequ. 0 Utile erit tertare quomudo hae tres aquationes per viam munerorum Potuerint inveniri aia abs +da +6X) X ag A +ab X habe du equa + 3a b + gab Erpo a, Crqua + ab 32 1 1 16abc C2) 3db2 432 486 351 14+ +ab