# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0440 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0440?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2) # Folio 420, page id 851387705:0440 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=440 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000440.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 62 lines, status machine # Lines: 62 recognised, mean confidence 0.79 # 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. ARLYAMETICA PTOP. CLANI. Ratio quam habent ad seriemmaximo equalium Residua. Onadrata. Cutri (Primanorum 3. 3XZ = 5. 5x3 =: Secuncanorum 3. 3+ 3 = 1 3. ∞ X4 = 6. Biguadrata. 24 X 3 = 138 Supersolida. 28 XE = 730. 3 103 28 = 3 3. 323 1 = 10333.. Tercianorum 3. 323 = 38. 38X 18 = 363. 300 X 13 = 381. 364S X 18= 3 8248 9943 21= 206845 S COnineanorum 3. 2X 12 = 58. 28 1 = 138. 136 27 = 3, 18. EtBX 28 = 3S. Et Sc deinceps. Nempe, si index seriei ablacae ponacux a; rationem habebune, ad Ceriem maxi. mo sEqualium, ipta 3SF . Besidua. Quadrata. 10t1O CsaS: :a 2. a quam habent vel 6 a3 Cubi. 00 a t V. 2 a + 3a + L 6 a F r2 a +6 a + Z Velquam ha- a F L a +F E 2a f F a f F bec Onitasad 2a 2a F r 2a 3a. + 2 3a c. a. = + 2a f 3a = F 6 a F ZZ a + 8a F 2 2a Aique hoc idem valebit B ablata Peries Cit Series Radieum. Verbi gracia. Si a serie Aqualium auteratur series Subsecundanorum cujus in- dex L. Nam si Ponatur a = 5. Fric. Cc a + 2, 2a + L 3a + = = 3. F+ ~ + 1 2a = 2 =3X2-6. ablacionibus, Residua, Guacrata, Cubi, ecc. ad seriem maximo aequalium; ut Z ad 3. 6. T0. _c. iui Similitcer, si auseratur series Subquastanorum, cujus index i; et ponatur a = s. d. Frie a + 25. 2a L Y 3a L =23 2. 8. FF5 X 3 =25. 15Z23 35. 35+ Z = 9b. _C. Sunc autem, in ejutipodi sublationibus, RC Sidua, 9 ejulmodi aliis, uc intra enam ulterius patebit. Interim placot propolitiones aliquot praecedentes in Tabellam conjicere, propo. lirioni lequemi tubjunsendam. Nempe et uii .(ad unica. cem. ROP.