# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0183 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0183?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 159, page id 851708439:0183 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=183 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000183.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine # Lines: 58 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. BIIS 11 caclic VCHIIO bc i1 Cap. XXXIK. A L GF B R A. TIT. Fadem cubiea; Suppotico B0 = b a F C d, (adeoque. - - = d; ) deleto ter- mino tertio: et, pro du substicuro ubique ejus ralore; reductisque omnibus ad communem denominatorem; et rejectis qua se muruo destruum: ad hanc reducitur; aa a - Bb a a = - bBCC =cc B +c b+6 Radices; + B, +. C, Ct (P20 = 4) Sect. 4. Pr. 8. IV. Cubicarum Fertia (quam videas (uo 10c0.) aaa F baa F Bca = = bcd. Caa - b da =daa = 6d a 046 Polico v. H c = d Cadeoque substicuro ubique B. + c. pro d de deleris quae se mu- cuo destruunt) reducitur ad hanc; aaa - bba = + bb5 Radices; - b, - c, dc (pro + 4) + B. +6. = b0a + b06. CCa Sect. 4. pr. 8. c V. Eadem; Polico 30 = B d F ca; adeoque - = d; recucitur (pariler ur in harum reductarum secunca) aet hanc; aa a = Bba a = = BBCC. 0+c = BCaa - Radices; - b, - 6, 8 (prO + 4) - + +ccaa 1 B +c b +c Sect. 4. PT. 9. VI. Nona Cubicarum; (quam supra videas.) aa a = 3baa = 3bb a = = 3bB =cCC. Retumpto (ex constructione) B -a = = c; ad hanc reducitur; aaa = 3bCa = = bbb -c6c. Radix, a = b - 6. VII. Decima Cubicarum. Sect. 4. Dr. 24. aaa = 3b aa + 36ba = - bbb = CC5. Desumpto a F b = = c, reducitur ad hanc; ac a + 3b0a = - b0b +60c. Radix, a = b - 5. Sect. A. PT. 16. b+ Obi noces; Harum Secundam, Tertiam, e Sextam; caldem este ac Guartam, Ouintam, et Seprimam; nisi quod Radicum signa tunc contraria; de aequationum Signa locis paribus (Snon detine) mutantur. Idemque post obserres in Nona e Duodecima; item in Decima de Decimaterria; Pariterque in Ondecima S Decimaquarra; ee ubicunque timiles occurrunt calus. VIIT. Ondecima Cubicarum; aa a - 3b aa. + 3Bba = + BBB +656. RetumpCO a -B = c; ad hanc reducitur; aa a -- 3bca = = bbB Radlix, a. = f B. Fc. +c66. Sect. 4. Pr. 15. NNE