# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0085 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0085?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 65, page id 851387705:0085 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=85 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000085.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine # Lines: 78 recognised, mean confidence 0.84 # 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. ollu nllia tiest DE A DD F PFON F. nadum, pro 4 F 2 lubseribo 6: in columella decactum plo 3 +5 Tubleribo 8: guia scilicet (per cabellam praeccdenet11) 4 2 6 3 + 5 ==8. atque eodem modo in reliquis columelIS reperio 3=8. 2 76 = 8. acedse cum subleripia 4. 2 monacibus, 8 decades = 3. + 5 aCaS, CCHTTI =-6 f Z CeNEUI 4301201375032 = 848 Non raro aucem accidie, parcicularium ser tecu summulas cancas este, ut unica 63152 430120 88786 315032 848757 rice seripris, de lineota ducta; in columna seu columella mo. 25634 103605 30766, omnium parciculis limue us aesuales. Acque eodem modo 103605 figura illa seriei subleribi non polline, (Guottes nempe summula numerum nove narium excedic) quo calu ulcima summulae tigurae luo loco subleribenca CrI, roligua alicem loco proxime luperior (au n pates proximis quoc opus Cst Wdeis) adeoque lingula (si libet) summulae distinetis lineis seribi pollune; uc in exemplis subseclis primo de secundo; vel eciam concractius, uc in cercio de quar- 10; illiel aurem semper carendum, nequa tigura debito loco extrudatur, sed dua semnula cujulque seriei, ejuldem sellet paccieutis aequetur; (puca s monades riis Sc. ) crunc omnium summula limul lumpex (debica locorum racione habica) vocins cidem seltet subleribenda lunc: illae aucem lymmulae, in unam deice t mani (eocm aeciticio) collecta, numerorum aclendorum Lummam inceoram, sive aesregalum exhribent. Non aucem omnino retert Ie L deaela live a linustra ope. ratio Ordiacur: Neque etiam retere quis aceendorum Metus suplemus sIE, quIS Secunetus, _c. (modo illud semper caveacur ut monacles monadibus, decades deca dlibus, ecc. directe subtine, uc vicetur contusio locorum,) Addicio enim non 2d. dendorum ordinem inguiriu sed axelefacutu. Patet hoc ex Suhjoctis exemplis, ubi eadem summa, diverlo camen ordine, emet s. 0860. 87908 05586 7590 37 a 25 cencurie 35 decadCs. 37 mades 05588 98697 87908 590 75 B-0 De 8 98607 88 340873 349875 349873 In his omnibus exemplis, lummula monadm (lire intinae seriei) cll 23; suib. seripta igicur luo loco fisura 3 (Dro cribus unicatibus) seliqua tigura 2 l0co proxime ascendente scribenda, quam sive 20 unitates live 2 decades signiticare dicamus, perinde est. Sic summula decadum est 35; subleripta, is itur 5 in deca- dum. Perie, reliqua 3 Scribeta, e su serre proxime alcendente, ut 30 decades, seu (quod idem elt) 3 cencurias ligniticet. Ec pariter in reliquis. Omnes aurem summulae collectae, exhiben 349873 Lummam InFEOTAM. s aequalia aequalibus addantur toca sunt aequaliu. Puta li pro cora monadum se nis de- rie sublticuancur monades 23 =7 + 8 + 8 f 0, tancundem extribetur; deinde s. Dro decadum serie sublticuancur decades 35 =- 9 + 9- F 8 F 0, tancundem adhuc exhibetur; icem si in reliquis seriebus Tubsticuantur 25 = 6 + 9 + 5 + 5, et + 7, et 32 = 9 F 8 + 9 +6, tancundem achue extribetur; adeoque lummystae invenca aae LH PrONOCI. CaleM tatIONC) sum- estra Louus procellus demonttratio depender ex illo axiomate (Paepius applicato) Aaaio- suularum lumma aequabicur ipsis proposucis numetts. Hic aurem procestus (quem perspicuicacis pracia distincte proponendum dua L. Operatio. o UE operationiS racio perspiciatur) Dorest aliquanculum (praelerL CACTCILALS) niscom abbreviari, si nempe (a graclibus intimis semper incipiendo) cum Gracus unIuS Pendrum lummula invenca est, ulcima iptius figura Ctarim luo loco subleribatut, ce reliqua H qua Sic) memoria retervecur (auc s libet, duabus LincotS, ne memoria exci datus incer polica) sequenci Marim tertet alnutitet. Ebc Bdelo. Suonium