# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068220:0022 # Permalink to this reading: https://leibnizlegible.com/page/00068220:0022?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 7 # Folio 11v, page id 00068220:0022 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 19r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068220&page=22 # Source image: https://digitale-sammlungen.gwlb.de/content/00068220/jpgs/default/00000022.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine # Lines: 63 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. tam abcd aeqo h. et pro a. b. c. d. substituendo valores S mnipp. etc fier h aequoamn impinomno: pemmun seu h aequ SImrp sentitot E rge fiet fh aequ sim Habemus autem l+ +n + p aequ. g. Superest aequatio a b seu Sl aequ. 9. itaque aequationes inventae sunt sl aequi g. slm aequ fh tmmp aequ. 13 superest aequatio resolvenda Sageubi substituendo valores fiet men: p + 3 lmp. n + Senp: mo + S Men l aequ. c. Y 2.7. 1b. 30 Unde fiet. Ynp: ps + Y Cninp. n + Simp: m5 + YVmnp: 13, aequ e. 59 14 seu p + + + aequ. e: Y h seu lnaln peithip rmupoq. t e M (10) (11) Ml aqu g. sim aego fh Simn aequ h C Immp aeqo. h s12 rego X - 4Xy 14XZ + 19y o posito laego abc n aequ abd n aequ acd paequ bcd et n 714 ∞ 50 sl aequ X - 5X y + 5K Z + sXyy.5 Aco = 5 yZ quadratne quo casu faciunt duplus lalsar. (ut oxrgus qui. hypt (4 (3) Habemus ergo (5) (() et sa aqu. e. Sab aqu + s abe equ g abed aequ h. 4 5(12) 2 Habetur autem aliunde SVmn per si. son. et Slmn. Imnp 14 55 quos duos valores ipsius (Imins conferendo habebitur fIma sed per aequationem s aequx. 9X y +9X +27 Xy- 9X co- ga -36Xyr18X(19Y710∞Y1 (. 7acotg hxy9X ) 11 et 12 quinti gradus itaque non aliud inde discimus quam talium connexionem e inter se. Nam 1gq. 1. 2. 3.4 etiam per aequationem sti gradus data et. derivari possunet, posito esse X aequ a + b + e+ d tot ope posito pago +m +n + p xyis+ lxy Xyt Xst SExy hy pX. 3. y3. y. y. X. X 5 3 ciq. 29 Xy. Xy Xy 16 9 4 aeq. 29 X y cujus dicilores proximi maximi Ve g. y. XX. Xy. py Xy. Xy xy A 2 2 2 1 1 aeg.10 Xy. Xy Xy C 2 X) +e Erqoissi XyE praetig debet 9 Non succedu X male ista 1X 1. xy 9+ 7 est 16 X y Z. hnius divisors proxiimi im aximi Ay d C Xs