# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068219:0010 # Permalink to this reading: https://leibnizlegible.com/page/00068219:0010?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 6 # Folio 5v, page id 00068219:0010 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 4r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068219&page=10 # Source image: https://digitale-sammlungen.gwlb.de/content/00068219/jpgs/default/00000010.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.78 # 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. e dest F2b22 +. + mZ + n Z + p =2m (2 c C -Cd7 -q +d C 2 262 4b 86+ 64b 461 + cd 8b7 Hini si volumus succedere extractionem fiunt duae aequationes. Una: Hinc aqua ant residua sint nihilo aequalia, fiet: 4 8be- 4 d + c9 aequ. 0 ergo jam e aa jam aliunde b2aequ N- m. b 12146 et 64 b f- 16bd +8b dc-8 brg chaequ s- 2mu d’aequ. t- 2mp n 13 aequ v - 2n p3. f aequ W = p6 sunt autem x. s. +. v. W. ter cogniti aequationis datae: Z + +s Z+ tZ1vZt1 thc in locum Compendii causa ponamus at aequ. 0. aequi0 fiet: - C aequ. + 8b e, ( seu As4 mn aequ ir - m, ( v- 2r p3 et C aequ 64 f sgo (+2mn aequ seu f-Emn. (4) aqu. 64 b6 fb 64, r- m 1, W- fo seu Eg, r- m, v - 2n p3 ergo seu -C’e aequ 8f seu F. Ergo a C aequ 512 be f2 Caequ. 8656 =5+2mN , v - 2N p aequ W - aequ 9bR), seu 9. ligu. 64 bf seu bf aequ. e sive r r-me, B W -p aequ ( al v - 2n p3 Ergo Eaquob Z. 372 + f aequ. t et