# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068051:0080 # Permalink to this reading: https://leibnizlegible.com/page/00068051:0080?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 6 # Folio 40v, page id 00068051:0080 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068051&page=80 # Source image: https://digitale-sammlungen.gwlb.de/content/00068051/jpgs/default/00000080.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 45 lines, status machine # Lines: 45 recognised, mean confidence 0.68 # 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. + xay pdx fy ursidte se hbeant eodem modo ita in aequ. ata pro X sbstitiatur M + nX + n et pro Y subsiuatur p + 9Z+ aV eli la in gradu _ ax. _ est lemt conparatio 1: in ZdX f est 1+2 in quado fAX est 1+2+3. et ita dimidia est tantum quantitas arite srarationum sit ergo aequalio ad Homoeoptosin revocata datae L aa Xuxrgnus 4 d ydy xay ubi opus arbitrariis quinque. Assumatur porro ay ius dyax (axtdus 14 +mxry + n XEryrg: xtuepxtus + quytre seu dx + mxdy + mxdy + n X dx +n X dy ay ydu ydx ydus yex - p 11 O(4... -qXyd 10 =EYRAx eer ilo XGdy -27 ..-- Et habemus aequaves, comparatitias tales: m-p = b = c deda ex 29-2r ta Et quia turbant i quod b et c debent esse, auto hoc in dato posse effici pro ponatur nn nga et min 10+ icxru,: sxIt et pro vponitur 134 14Xr9: 1+ 15F+, ita 1 pplicantu nonaugerur gradu. sit videa hoc esse absolute necessarum nam prior illa expercatio non sumedit, imo vndeo debere ad minioam fieri aecedere rectant. vel quadr. por per solum simplure site interpretari dou lice f itaque opertet luere Z= nobam ornetfu it V= 92 haty n. 2Y = C ngCg