# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068049:0116 # Permalink to this reading: https://leibnizlegible.com/page/00068049:0116?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4 # Folio 58v, page id 00068049:0116 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068049&page=116 # Source image: https://digitale-sammlungen.gwlb.de/content/00068049/jpgs/default/00000116.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 89 lines, status machine # Lines: 89 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. 94 Est ergo r = 94 n 1+n Nam -- nim pp+ Px + q 4nn et quia y = , fiet et X +Y 2n 2n Ann + 1-n + 1+n X + 99: 1- 2 n q (+1-n + 1+n X + q ia n 2 et eodem mer +nq - in mnqW 4 e A np + m - Itn min pp X+ sin sit 4= - fit C = - X+22VI +in +1 +n 21. e f1- n + 1+n seu pp= seu p = M eu y 44 (+I. n + 1+n V in n n 1 Ln un (+ian +Hn in En X + 44 sn a-n+nn +1+ 2n + nn Z 2, - un nam in +np = in nimpp = m + pM itn mminim ob itn m anm (+h + 1+n X + 44 n (+Fn+ 1+n MV 1-p +1+n + 1- n + 1+ n Eddem modo fit P = m Y. G8 ann in + 1 + un +1 L nn +1 + nn - 1 - En - nn pecte 1-2n + nn + 1+ 2n + un +1 + un tgn tu fin t1+n: 2 4 seu 1+ nn f1 nn +2n +1 +n - 102n - nn = 0 faciamus jam X = Z. et habemus C = 10 X3 + 1 X + 12 X (2.. X ere 10 + 11Z + 12 Z2 (2R... et 13 et Co sed non proficit loc quid si faciamus 10 X + H x + 12X = quadrato XX to2 4 10+C + 12 XX fiet 10X 4 ax 4 1 = X p Ex 10X +u X + 12X tollamus itelu terminum primum u X..x nonendo X et ultimum nova explicatione facta et fit sit 10X + 11X + 12X = 9. fiet D=1 302 +312 202 + 2) L)Zt2 Z+22 C+ 22