# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0121 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0121?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 61r, page id 00068201:0121 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 62v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=121 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000121.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 104 lines, status machine # Lines: 104 recognised, mean confidence 0.73 # 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. a +A X+ m A XF n XFP f0. X + lX bu +mi. XF n x + 1X alml X +m + p C +m. + YIn. +n . + mn,. Imup X ttn nun + punt 0. +m +In.. +nP.. n. + mn. +p. +fIp.. 2eo +mp.. +prip.. + p lap. p. Bnc L ppi = l -m a n (4) fier: 4 (+ m) mus In im - mn Fellatup germipus secundus, fiet: F lmndx - emn m- Imn Im - lmn sanc fa peno Bpaxo ices formulam hanc ita sentemus:) XEx tap X 1 70. Et ordinando rad extractio p +ar rem R adicis =agX =a ++ sedam ita ex posthriore aequationis latere impossibilet sit extrahi raticem, apX diellendu est in duas partes, ita scilice, ut ut utrobique sit ande Radio extrahi possit, quae divulsio, quoniam sine extractione us cubicae fieri non potest, hinc ratio habetur cubica aequationem quadrato-quadraticam quamlibet revocandi ad subicam verte Unde: t PBIBLIOrMRCA KBIA RABAOVEAIA, minedde m M-P 2 - Imn lum Emm 3 m amn 6-remp. El-n ftap 3 -p2 n m E2(mK) n -2MX p n ilu issip) 2mn , 1 t ri 2map 2mpr m Z +tn +sapap Aph tanp. 6 Formula generalis pro explicundis em =Im aequationem Qualrato quadratica l’mn -Imn s 0 unius incognitae secundo termino carentes com- parare possunt ad radices corum investigandas - mn ln 5 =Inin 10 septantr . 674 TFFI Ap - 1. fiet e H. 1. +X 18 P e calculi securus proba in numeris quo de errole esse Ressum