# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0106 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0106?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 53v, page id 00068195:0106 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=106 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000106.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine # Lines: 60 recognised, mean confidence 0.90 # 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. Mt V. Tabitissima deceptio calculi. sit aqualio x+y= b ponatur X= v+co et y = v co quibus valoribus cal substitutis in aeq.1 fit , Cd +Coc0 + vD= bvco Sit v=Z. fiet 2 +Z+ 2 =0 sinth. s unde est autem V =y: x habetur ante ergo y. X. ratio ipsorum y et x. aute autem ex aeg. 1. habebatur summna, Ergo invenimus valorem X et Y quod est absurdum, uneque nihil lnim aliud datum fuet quam eorum summa. Unde ergo objecio error? Benc enim calcu lavimus? Resp non licet assumere valores ae erys tales, ut revera ex uno tantum determinentur nam per a p. 2 fit X = 1+ v:c0 et per 3 fit y = 1+ V: V ejus omo ucaberi postit issi decandum evera la Uege cal in nanmeenn pese mons t ergusomatatorm. uns addition du figuratorum. qu roblematda in cipiendo a casibus simplicioribus et ascendendo paulatim ad sefficiliores; fuit methadus pensionarii crnnus ere solita problemata, da dic incognita in exponente croint, solviren soncte, st sgimivit en summas fractionum a quadralis. et cubis zu findus constructione quadam data, putat se eam redrore posse X ad terminos suplicissimus unde patet servari legem homogeneorum, quae et antea servabatur nec proinde nos merari aliquid, si ponamus A. B. C. aequales. idque prae- videri poteret quia patet esse SA: Z +2 aequ B: 22 feu BZ aequ difficultas hic in calculo quod positis A. B. C; aequalibus non fit Z. infinita sit enim BB- 60. 1b sin zaego oB: 8. sideremus BB- BB, ut BYB, B- fieret Z aequ. 9. 2. B. ob. 6 seu Z aequ 0B: 4 quae lame consentiant. Haec ergo cirea calentum infinitorum excu– non tienda dicigentius con-