# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068255:0109 # Permalink to this reading: https://leibnizlegible.com/page/00068255:0109?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5 # Folio 55r, page id 00068255:0109 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 54v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=109 # Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000109.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 84 lines, status machine # Lines: 84 recognised, mean confidence 0.83 # 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. Verum quia non semper datur praedalentia literamum; ideo cogitavi an non posset nihilominus haec methodus sset universalis reddi. Considero enim aequationes Tabulae semper esse veras etiansi sal C neglecta dispositione praevalentia literarum conringeret. subiade quantitatem in columna esse quantitatem negativam C1 Cnsed quia eorcasu non potest esse nisi - 1. nmranto nam +D, vet = 0 est idem: Ideo consideravi nos secupere quantitateni conversuros in affirmativam ejusdem mocis si habitures sumamus ejas quadratum A sive ipsa negativa sive cofirma tiva sive nihulo aequalis sit, si modo sumamus ipsius quantitatis quadratum. Solis ergo quadratis oviq conficiomus, neque ut in Merhod generali priore ad altiores semper atque altiores multiplicationes afuagemut pr a, an C, dde etc sumamus 11 13 14 is ete, verum res non ideo sacceedit, etsi enim columna maneat ejusdem AHE12 =. (d = 1) - n ∞e = (2 ( +1 + ∞ 2 v molis tamen non manet aequatio ex. gr. a+b = a(a-a+b id verum sed non oideo (nisi in casu praevalentiae literarum observatae fnet a +b = a. f. a +b-2ab, seu nisi b praevaleat ipsi a; nant si ponans a esse 1 et b esse o non succedeto nam .fiet 140- + )1 seu 2 + 1. quod absurdum. 4 Eergo ad utriversaliter res succadat, dicendum a a +b = ab I a a+b - 2ab, et hini derivanda theoremata ut in Methudo generali sanet si genecalem aliquem amcmerum ut aiea b c d CatB)d ut ex d (cIbIa multiplicare velinus per numerim datum ut IC, seu 3 ad habendam proprietatem generalem Ternarii, fiet nihil de praeva- da tentia literarum constat, itaque opus est Meqodo gnerali. Vidri coefficientes binauniabe aequales sunt o Hic omnes et similiter exefficientes omno 67 tengopum qua termqe 28 36 45 1.10-290 +2 1b. 120 20 -14. 19 15 - 4. 6 15 1525 15 F4. 6 + 10 = 1.21 - 2.35 + 2.35 - 4 .7- Irct 1. 35.- 4. 21 + 10.7-280 8 +2. 70-4. 2 es tone + 23-256 + 2. 70 - 4. 28 + 8. 8 + 4 - 2. 8 +2.10. -4. 4 - 4 +5 - 4- - 225 +64 -q + 10 -4. 56+ 10. 28 - 20. 8= 18-32 0 tum ta ne rab Frabe + abcd +2aled dabide Oded et) abede aeuldes +a = a 20 abcd 9) 286a.h 4e0 -2ab +4abc ese gabed +baldo gabedes 16+ abcd et9 12BabidetgsZ 4 41 5 10 5 2013) 6 21 5b 126 252 120 a 35 10 12b 210