# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0380 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0380?run=74 # Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0) # Folio 134, page id 797435492:0380 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=380 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000380.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.87 # 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. L. B C Y. ZIII. Not. E. Siin AD (ad iptam A B perpendiculari) desumatuE A F = n: S ducatur F F ad A B parallela, hujusce cum lineis expoliris incerte. ctiones exhibebunt radices a respectire. 2. Cum ad hasce curras ordinatae semper terminatae sint, _ inter iplasmaxima quadam detur, hujus serici agnariones, pro modulo al- Cioratae A F (vel n) subinde duas radices veras habent (cum urique Fuerit A F currae maximâ ordinaca minor respectire, hoc est Cu F F currae bis occurrerit) nonnunquam duntazar unam (cum A si nempe maximam adxequet, adeo que F P curram contingar) aliquando nullam (cum scilicer A P. maximam excedat, adeoque nec L. F currae unquam OccurTaL). 3. In secundo gradu li AO =O B, _ ordinetur OT, erit OI maxima; (adeo que radicum una major quam altera minor) in terrio, ( A P == 2 P B, _ ordinetur PV, erit PV maxima Cunde radicum una major erit quam Z AB, altera minor) denum in quar- 10 gradu II A C = 3 B, e ordinetur X, erir JX maxima (ex hinc una radicum semper major, quam = A B, _ altera minOr). 4. Etinc consectatur, sifuerir, in secundo gradu nC; in cerrio e 7b + 37; in quarton +=- b+- 256; nullam dari radicem. 64 5. Omnium radicum maxima est ipsa A B, vel b. b+- 6. Omnium curvarum communis intersectio (seu nodus) est pun- ctum T; _ si fuerit n = --; semer AO (vel -= ) est una radix. 7. Curva AL B est Circulus, reliquae AMB, ANB cum quo- dammodoreferunt. A3 7ub. a. 218. 2081 Aliter