# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068220:0013 # Permalink to this reading: https://leibnizlegible.com/page/00068220:0013?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 7 # Folio 7r, page id 00068220:0013 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068220&page=13 # Source image: https://digitale-sammlungen.gwlb.de/content/00068220/jpgs/default/00000013.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 recognised, mean confidence 0.85 # 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. sem ninc intelliguber de si lis 1.m. n. lmn aequ: 12 multiplicetur per p. fit linap +ps ln ego Pr: 5. ergo per 13 4) fit: Pr sImaequ pris - q9: 25 4. 4.5 aequ 1c. multi plicetur per pp fit pp sIm + p3sl aequ ppg:5. Ergo per 14 fit p st aequ. = pp9. 5 = pr: 5 +49. 13 Ex data erga una habetur summa reliu tis quarum trium rationaliter Et ex data summa reliquarum habetur una per aequationem cubicam. (15) l+m+n aequ = 4. 5p - r: 5 pp + 49: 25P = +: 5 p2 adem l+m+p aequ. =q: 5n = Y : 5 nn + 9q: 25 n modo subtinhando aequ. 15 et 16 a se - +: 5 n nvicem fit. nap aequ + 9:5n + r: 5nn ∞G9: 25n = q.5 = Y : 6pP + +: 5 n quae est relatio inter n erp +49 25 p (18 + 25 p ponanius haeqo 2: R habebitur aequatro: 1-plaequaglis 14 qep erospp qquisp + t: laequ = 9. 5p = r. Spp + 49: 25p. - +: 5p + p h + ghh: 5 + rh3: 5 - 99. 257B 4. 2 Exgo ex data p habetur 1: n sive h. adeoque et n pe aequ. quarti gradus. tou fit. A N aequ = q. sp = r. pp +9925 p - t. 3p n Y 9. 5 H + r: 5 H - 99: 25 +:25 sed livea vulorem ipsapum n. m. l per p. substi tuendo in 8g. 10 non habetur aequad tractabilis semnuum 3 +fx+ GX+ TX + a