# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0187 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0187?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2) # Folio 163, page id 851708439:0187 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=187 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000187.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 85 lines, status machine # Lines: 85 recognised, mean confidence 0.71 # 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. se adeo d. Bet da +) XVI. Factem; polito b0 F af = b d Fca F 6f Fcf; adeoque b6- b a G4 =25 +cf - as; et bd cd c - d =5; ad hanc reducitur; Cap. XXXIX. A E C E B R A. aaaa = BBaaa = BBCCa = = BBCCd b bbaa LBCad F66dd bbcd c =bccd d = bbcad = BcCd d Radices; F B, = c, d Db Da-6a c- d 7 Scct. 4. PI. 32. XVII. Tadem; volico as-cs - Vs - bc - b d -cd; adeo que Bc bd cd ad nave reducicur; aaaa = BBaaa = BBCCa = = BBCd4 -b0 L66 Bbad = bccdd obul 1-c - b esO is d cc dd ODca Racicco; = B, = C, = d, 8 =d6 F 6a -=c d 06bd ei 6 et oecl. 4. Pr. 33. XVIIT. Eadem; polico bc d+BCF -bdFcas; adeoque bed -bas t cas -Bes. bcd B d F Ca - Be =s; ad hanc reducitur, aaa a = bBCa a4 - bbCC4a = - bbCCd d. 1- BCC FBad Cdd -Bba -ccd -2bc d =-bbdd =Bcad =cc dd = BBCa = bccd Bd =ca - bc Radiced; = 6, 467 = an bcd XIX. Fadem; potitis cum B + 0 = a F f; cum BB = Bc + 5c = a5; ad hanc reducitur, aaa - bbb a = - bbbc Radices; = b, + 6, e = bbc - bbc6 -b66 bCC6 6c0 b c+ Y: 36b- 2b6- 36c: Sect. 4. Pr. 35. Imaginarix radices (aa. =. B a = - Bb - b- c- Y. 360- 2bc- 300: 1 hujus aequationis, vic. +6a = bc 66 XX. Fadtem; posicis cum Bc + df = bd = cd F bf + cs; tum a. + 5. - bb6 = BcC Bb. = bc +65 reducitur ad hanc; AAAa bd + cd - b Sect. 4. Pr. 34.