# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068124:0067 # Permalink to this reading: https://leibnizlegible.com/page/00068124:0067?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30 # Folio 34r, page id 00068124:0067 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 33v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068124&page=67 # Source image: https://digitale-sammlungen.gwlb.de/content/00068124/jpgs/default/00000067.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 44 lines, status machine # Lines: 44 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. fac occasione ciffulget vera nova ille hotus solvendi ratiees aequationum ninationales. sit Xlago a- a sit X aequv. V + Z +co assumantur praeterea requationes tes aliae, ut sint in summa a aequationes. Narum quatuae equationum artitrariis suis instructarum unaquaeque multipliae tur substituatur in aequatiane data X +pX et aequ. 0. sunantur adhuc tres pro his quatuor V. Y. Z. co sarmantur quatror aequationes quae attolantur ad uigesimum gradum, ad eundemet addantur in unum cod eundem extollatur Et aqualio data per novas arbitiarias. com comparetur lum summa pittrum. Sed video jam cum quaelibet litera peculiam modo tractanda sit, non sefficere numerum arbitrariam santus uique forte sit aut si sufficit calculus alte assurge et eut horribiliter prolixus + yt aequ. 23. Hl Z egal a X + y + v celet + X + y + 2xy (X +y+ 3V (Xr9) NapraV + XB 2u sille.. (3) 3 +_ Xy aequ b. X 1 aequ. C. hac ty Fry Xy fiei. 3 b3c + 3vc + 3VC + V3 aqu. 0. fiat. fiet fl3+ Yvcao fial. D erit 2c + v aequo. Ergo vapqu. b2 - 3C seu (Xy) aqu. EX + BX y + 3y ergo X +5y N + 25y aequ. 25 y - 121 aequ. 13 y fiet: X + Ey aequ. f13 y et: X aequ. y FEF:Y13 vel X anqu. Y Y - 20 + 13 Xequ. 3 Y- 10+ 108 b 16 08 8 - 20 + 1208 -900 4 3, +00 F 3,20, 208 +208 1208