# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/79876922X:0567 # Permalink to this reading: https://leibnizlegible.com/page/79876922X:0567?run=74 # Title: Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica (shelfmarks Leibn. Marg. 65; ZEN Leibn. Marg. 65) # Folio 81, page id 79876922X:0567 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=567 # Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000567.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine # Lines: 63 recognised, mean confidence 0.74 # 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. eCOI AMa ieaio diserer Cometin lius ge ussine lorecta nelier Ee. SII Is alni . nai DriBCl. Ieat DeuM. ad dxt N el de l. laatu dati NEalI rolle a UI lbtAsa ilibs) dii) im ut SAPIENTLAE DAVINA. uttocis altero in alterum, productum. Vtro- Bique Refficiencia principia in partes utrobique Angulas, aequales ircer se, divilafuerint, ut nu meris productionem prosequamur; alterum ef- ficiens principium est series quadratutorum tot quoc partes habet hoc principium, c. 8. 4. sed coefficiens principium largieur vices toc, quot constat partibus ejusmodi, ut illic (ubito tum esequadratum) q. uc trant quater quatuor guadratula; hric (ubi cocum est rectangutum. c. 8. ex peces longum, de tres latum) si produ cendam seriem 6. Faciant quadratula, 3. pedes dabunt vices, quocies hac series sibi sc aggre- Sanda, seu quoctales series quadratulorum, to. cum hinc productum habeac, videlicet 18. S. 8. Paueis: l Producio l’antuplicatio- neperasenda sic, non in abstracto linex, sed in concreto series quadraculorum, lubintelligendae veniunt. Ouod idem eciam incellisendum est de superticie in lineam aut line a in superticiem du- cenda, unde fac Ciorpus. Scilicet quod unitates partium exprella numeris non lineares line aue superticiales, led quod corporales sint, nim. cu- Dica, ue numerus sit series tot cubulorum, quoe tune unitaces in eodem. 5. 9. Ouod si linea vel superticies tantu- plicando producenda non in partes inter se xe quales, nobis certas, datas aut altumtas, elt di vila: Sed Ci, sine numoro ettabili, in inet Tabili particulurum minimorum omnibus in Ent