# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0087 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0087?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 44r, page id 00068195:0087 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 45v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=87 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000087.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine # Lines: 28 recognised, mean confidence 0.94 # 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. (7) Utilissimum quilem est si Numerys o. solvi queat in facto (00) Analysis Numerorum imperfectiissima est Veleret res, ex quibus aliquis non continet nisi cognitis invenere extractionem Radicum, seu factorum multipluantes ita enim depressi est aquatio latus cognitoram equales dalum numerum prodmentes. Nascalius addiat aliquid, multiplicantes inaequales continuos, seu unitate differentis) datum numerum producentes Rectat invenie numeros inaequale pluvis, in data quadq ratione inaequales datum producentes (aut si datus tales non habet axi proxine minorem a beulem) ut ex riem in invenire duos numeros datum producentes quorum differentia est. Data quoties id possibile est, aut ita ut differentiae numeroum sint in progressione data. Talia problemata pe Algebram non solountuor. Quis cum soloret inihi per Algebram hac probiecta datum numeri multiple radicem. Itam invenire eneralis tat Cogica in Eis omnibus, monstratviam. Y Esto namerus datus, cujus ratio Radix et quaeritur Erg -a quaritur radia ea esto f Ex his ergo principtis seu ola Analissi nemo credo Solvet thiorema nisi conshes., seu phaorima a Geo Gtrithunetca de vel analyticanum demonsticta adhibeantur. Ergo in Eis rebus ubi tam multae partes a infuita ob oculos habendae sent, non est nisi Dei res peranatus sin invenire honines pus habent Theorematis nonnunquam per synthesm jam inventis.