# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068200:0410 # Permalink to this reading: https://leibnizlegible.com/page/00068200:0410?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3) # Folio 204v, page id 00068200:0410 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 205r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=410 # Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000410.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine # Lines: 56 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. Sed placet Uoducere Tubeulnsespeciales n Residui quadrali cubi Biquadrati erit sdx (X = X etIn- en en e, en 2e, e intat1, Vatno1. B, IaH. 2C, en F A 1SCeBC a sisis 12. 3. 1 g. Hic servatur regula generalis quae est sub finem pag. praecodentis, et sempor ros succedit, cum r et e non minus sunt . vol S, dx (X2 X n= 4 1sais d) Auadtat 3scubd 1) +lI. 2 (1. Plimeris 3. 4 23 456 3. 45 5ib.18 456.7 Si dx (X . 2 = Xl. 2. + 1.) PaeXI Letila (41S. 1x C - p3 side (x. r . Li . 2d M qbi g 163g d. ine bie de rete, et . Etn, Entire, Anture, 2t n+ 3 rC, etcusque ad antnre, pro denomina , 4C, 2e, 4etIre, ete usque ad 4C +(n- 2) rC pro Numeratore imiliter tractemus subtertianos, ut si e, e 1. ) sel ut sint e, 1. 3 253 43 5.3 ex ppro sidx Cx. ) +en 4L, 2:3 1 4.3 5.3 2 ex sita potestatesnumnentur subter, Tabula suplestianorum. hois atis anis ) ibagitumltalo um prdibet eri hac n, L.Resid 2. Qvadrat. visub 3. unum exemplund colculemu, subquartants, qui multipli. X. M: ) = L XX - 4 -= - quadrati X - 2. X 2 + X Sumnat ant _. = + - = 8 +5 = - 2 Disoruto orro. ilaquesi satm muttireur cubis Biquadratis a 7oni6 sumando asque ad casum ultimi quo x= casu ultimi, est (daxte Ue ate, 3te, ate, usq adnec,:, con, tonrtexintale, lneyte e e qugdies mente mtite eppis dte cnta me iu di Ex, no n. se ) B etc uspud 2B, t Lnt NB + Er NHB. B, Ahibr 1)B affr. 116 ep, s, u tt centur seri primanis (, dx (X1: 2 - 4) +4)n Residui X. 4 -X summati dant. cubi Xhd - 3. X~ D E. 43 X: 2) 12 -X primanis erunt samma pro s, dX (X: + Ex his ergo altontemus regulam generalem; et pimum pro denominatore mi ten, ant te, tintrtetnnte intateuqu ad tntnte ne ie orEle, 3te, ate, usque ad nte es summa quaesita ne.