# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0074 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0074?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 37v, page id 00068201:0074 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 38r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=74 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000074.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine # Lines: 57 recognised, mean confidence 0.88 # 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. onamus ergo nos habere aequationem omnium, maxime arbitrariam (+ N ex 24 X + 5 a X + 13 a+ X + (31 a) aquo 3 ab + 7 ab.. + 17 ab + 37 ab + n abe F 19 aeb addatur. (- X) + + 92 X + r3X 23 a bc q + 19 abed) (+ pro a ponatur +4 a35 (esqu. 0 + 43 a + 47 a bed +3 aqu. 0 Explicentur jam X. X. X. substituto earum valore, seu atbtCd eorumque potestatibus Orietur inde fola aequatio ex formis ab a+ b+etd. Omnes autem formae provenientes erunt tantum hae a. ab. ab. abc. aa a. a b. abc. a. ab. a. Dubi illud malum animadverto quod priores habent arbitrariarum, plus satis: at posteriores habent arbitrarias plane nullas. Unde dubitari potest, an postea sibis mulliplicatio instituetur, ut toassurgatur ad ab et ad ab satis sit arbitrariarum illis tollendis. In lasu defectus remedium in prontu est sadendo in D paginae superioris sic senbendo: X Ba X3 + la X etc. + mab fa praecedenlis, in utoquoque termino repetendo formas praecedentium nullas habeant nunc arbitrarias in mulliplicando tamen accipient producta ab iis, quia producta ab aliis ope cognitarum a et abcd. ad producta, ab pono quia poteriores priores plus satis habent arbitrariacum, hirc illa additione ad esD his deprimentur; M. opus non puto, et sufficere solam formam ( Quoniam verojam in ipsa multiplicanda formula santum, numerum abitrariarum habemus, hinc nullis habemus opus in multiplicante forma, ideo eam assumere poterimus simplicissimo, ut scilicet tantum assurgamus ad ab et ad abc. reliquaque tollanus. Fingamu curliba ix formis multiplicandis praefiram esse ubitra tiam, id enim obtineri potest. Et multiplicentur omnia prtmum per ab ab abc. deinde per (2 VEm a 4bC. at abe a b. a bc. ab. ab a abc abc. a Porus sir procedemuss abuna parte forma (ex his tubus ex tibus prioribus ut atb vel a b. vel abc poterimus, per a Ebitrarias N ve ullum alhum allatae hactenus aibttrariae usum habere possunt ind possunt de quo reliquis destructis c a b + q ae +3 9 abf 69t abc + r a + 2r ab aequ. 0 Multiplranda per a ab + abE sed deprehendo hoc modo nullas susterfore arbitrainis sufficcentes ad tollendas sormas imitiles provenientes: ideo necessaio coginiuo helinquere radhuae arbitrarias superiores. et cogemur, per multas cormulas simil cultiplicare, quod prolixum quidem facit calculu non puto laduen ceritari posse. agu. 0