# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068200:0463 # Permalink to this reading: https://leibnizlegible.com/page/00068200:0463?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3) # Folio 231r, page id 00068200:0463 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 230v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=463 # Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000463.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 114 lines, status machine # Lines: 114 recognised, mean confidence 0.76 # 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. esto E quatio Lu V cognita nobis radix. X = 2a X + amV + aenV + 2a X2 c - 243X + a + a+ ordinando ra +612 4 4 16 item a a + et X 9a 33, +36 a. lnpon ver +9a 2 + a 3a 2a La 2 a a + + ay, a 16 82 1 + a at 1 a E a la sumamus aliam, cusis a qua terminum cufermus secundum, ponendo X Z + 2a fiet X ( Z + 4aZ F 4a C3 4 4 sione 4 pro2. X sive 4 sa mubteptum, ca aequatione per suum Termini et y utobique sublato fiet: +am p 5 Dibisa utraque an ++193 a 10 ive adhibita bractylogia, sublatisque esi 3+ Ca 5a +c2 an -5d +C2 1aCa C 1a+Ca) frunctionibus: sive adcibia brartulagia: a an +42 a reducta hac aequatione assurgetur misus ad cubicam. seu fiet 10 Unde V _ Dy + D O+D sive Y + D,0+ D sed si incognita assumta fuisset in solo termino ultimo res haud dubie melius processisses o ponatur Xe v., et fiat ZF) Y s ergo 7 4 a Z b + S p2ay -y. sive 3 +256. + S() 2a - y quadrando: 4a1 ponatur data c. (). b + A5b +63 -4ay 4 + y +45b + b+ 4d y- 4ay + 1a opo jam aequatio data, a qua sublatus sit terminus penultimus: V+ ly tan y- 4a) + f V7 S X ta 4a am y cdo qa a ++ F0 divisis omnibus illae per l. hict per +a a + 0. A ap 54 +E C natca Se X da 12 cy ma ta. Unde conferatur datae pta fiet: