# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067992:0048 # Permalink to this reading: https://leibnizlegible.com/page/00067992:0048?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 30 # Folio 24v, page id 00067992:0048 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 21r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067992&page=48 # Source image: https://digitale-sammlungen.gwlb.de/content/00067992/jpgs/default/00000048.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 30 lines, status machine # Lines: 30 recognised, mean confidence 0.95 # 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. extractio Radicis biquadratica fieript ve extrahendo statim radice biquadraticum; vel extrahendo primum radice quadraticam, et ex residuo rursus radicem quadraticam; ita interdum fite. ut suocedat prior extractio radicis quadra ficae sed non posterior v.0. si debeat extra hi radir biquadratica exq seu si quaeratur Va idem est) acsi quaeratur i nq, ab est ve. qde Radices (purae) variant ratione eorum. ex ent a+74b). quibus sunt extrahendae, qua rursna vel sunt quantitates rationaliter expressae vel quanti tates radicales. et radix quasub vinculo suo con ad V. finet plura membra ex quibus unum minimume radicale, dicitur universalis c. g. vat, vab quantitates surdae q nulla gtment radicem universalem velsunt simplices quarum scilicet potentia aliqua pura e rationalis vel sunt compositae constantes ex membris duoby bel pluribus quaru vel alterutrum e rationale vel ambo sunt irrationalia. De his sub de his sub nomme Apotomarum et similibus multum disseruit Euclides in libro decimo sed quibus po hodiernos exprimendi modos mmorari haud est necesse ollud notari sufficit, quantitatem potentia rationalem dici, cujus quadratum. eot ra ronale v. 0. Vab nam ejus quadratum est ab