# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0135 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0135?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 115, page id 851387705:0135 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=135 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000135.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 72 lines, status machine # Lines: 72 recognised, mean confidence 0.83 # 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. Cia. Al. eit ESIONE. omnibus limiluer additis, de abjectis novenis omnibus, reliduum ilem nocetur: Hac duo relidua inricem ducaneur, de abjectis inde o quories sieri porclt, RCH duum, lignod sie, nOcecu: Denique e IdeM algue LCHM quod proreniee ex ounibus numi lo Ila Ul pITIS acaI abjectis novenis omnibus, indicium est (saltem Probabile) opcrattonem ee peractat ele; lin Pe. cusu cercm eit alicubr citacum clse. Exem. Pli sracu: In Musciplicacione apporica, Mulcipli Canct lota addancur 2 7 6= 10, 10-- 9- L1, x + 3 = 4. Hoc reliduum Scribatur ad crueis Fi. nilleam. Deinde i MtorC, 5 + 4 =-c quibus abjectsu rellecta Hola 6, TetTBaCuE ad cru. eio dea. o Settto Inricem ductis, est 426 = 24, unde bis abjectis g, restane 5, (vel 2 F 4 = 6:) HIOC Retidum superne seribatur. Deinde numeri produeti noux sic adcantur. 6+ + = 10 15 0- =6 (vel 1. F58.) alque hoc Kehiduum interne scribatur. Denique quoniam duo Relidua, superne _ inferne nocata, depreheiaEUE cadem; con- jicio operacionem rice peractam; sin tuilsene diverta, cercum elter admiltum elle CITOTeM. In Divisione, pari modo procedendum est. Addaneur Mditeriminarim nOc In Divi- Diviloria deyahiCelis HOVBNIS OmNIBUS, NOECTIE reLIdUUM. GMOTICNES IIEM nOEX sione. addtaneur, de abjectis novenis poretur Reliduum. Flis reliduis Mrcem ductis, (d fucto addiris, liquod tuerie, Relidui Diritionis noris,) c absccllo Hoveu noceC _. hoc Keliduum. Denigue, Facta simili nocarum Diridendi additione, e novenorum abjectione, quod tandem rellar aequabitur (s operario rite SI pe racta) Relee PonIHe Hocaco: Sin mi- nuS, Crrac CH. s appolica diritione. Diritor nora 27 6 - 7, (quodnOLECE ad Tiniltrai.) Ouorientis norX 2 f 4 = 6. (quod nocetur ad dextram) Fuctum ex HiS 7X6 = 42, unde quater abjectis o, rC- 26) 367(24 stanc 6, (vel 4. f 2 = 6.) cum (quia post peractam dirisionem restabant 3, =9: quibus abjectis manec o, quod Tuperne noco. Denique in Diri dendo 3 f 8. f 7 = 28, unde BiS abjectis o, manet 0, (vel 1 F 8 = 0 quod cum idem sic aique Residuum superne notatum conjicio operacionem fuiste rice perac t Ouod laurem de Reliduo Diritionis dictum est: nempe iptius noras addendas else facto ex residuis Diriloris e Ouoriet, Paclel obcinet ee in mul- ciplicarione, si spraeter puram Musciplicationem ac cedat aliquod additamentum. = PuV SI LC Per 2 mulciplicanda sine, ee timul addenda 3, ut, habeacur facti addlicique aggregacum 387: Lx mulciplieandi nocis emergie 7, ex mulciplicantis 6, quorum Factum 3X6 == 42, hoc cMt 4 + 2 = 6, e (proprer additamentum 5) 6- f 3 = = 9: d 9 - 9 0; ded e 3 f6 77 163 l 2 9 = 9 =0. unde conjicitur operationem Funcamentum quo nicitur haec probatio, idem elt quod lupra docuimus de con- Timili Frobatione Aedirionis de sublluctionis. Nempe quod, ubi nulla locorum habetu Falto, cancundem valeh Le 10, item 2 et 20, de pariter in similibus: Acidem elt tubsticuere F PFO FO, ausel abjicere 9; iem Lubsticuere 2 pro20, acque Morimus) probacionem hanc nonnunquat laltacei elte, neque errorem lemper detesere, (praeserrim s is ob neglectam debicam locorum considerationem obtin- Sac Guem truscra quis palet sune caeceum iri, cum nulla hie locorum tabeatur ratio:) Ouamris enim, ubi HECICCInON ConveniunE, cercum Sic erratum CAC; nOn = cl 7- 1698 15 54 E + c rice peractam eAte. abjicete b15 9; e sic in in reliquis. Monendum aurem est (quod de de Addicionis e Subductionis linit Pa Lubrica tamen cercum est operarionem recte procedere ubi conveniunt.