# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0221 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0221?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 197, page id 851708439:0221 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=221 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000221.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine # Lines: 48 recognised, mean confidence 0.82 # 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. LaP. . Adeoque nomen unum, dd dadaa 10adaFFaC Va. +5 affffeed Alterum, Obis post an en manisestas; a, 5, facile detegentur. Auc etiam, s non uraque, sed altera Calrem pars sit surda: puta a = f Y e: Superlolidum erit aaaant saaaas vetroaaasfe= ronassse vetsafe e e E. Fc nomen unum aaada Allerum, Safe. = 10aa aFfC. 5affs fCc. L T0aaFFFeV C. fsfseeVe. CBi, post e seu Ve manitestam; s, an cencando pacetient. Es similiter in aliis potestatibus. Verum haec omnia, de Binomiis Ouadraricis, Biguadraticis, et Superiorum Poteltarum; lune Digrellio hic loci: Tumpra occatione ab inrestigatione radicis Binomii Cutri, ad pertectam Colutionem Aiquationum Cubicarum. Oua de re perpendimus quae iadiderat Fharriotus ad propoliciones XIL et XIII. Aliaque nos addidimus qua crant necellaria. Dua leguunts quaciones, lune Biguachracica. C A F. FL. Resiamm decclonis Seutae Tlarrioci; de Squationibus Biguadraticis. rOuaciones reliquae sectionis SexIX Tharriori (Pos eas quas jam tra- didimus) Tune Biguadratica. Ouarum quamris ille pertectam solutionem in Speciebus non exti- Beat (ut nec alii ante illum Algebrista;) nisi quatenus (diridendo) selolvi potunt in simpliciores, ex quibus (mulciplicando) componuntur. (De quo jam dictum elt.) In ordine tamen ad faciliorem carundem Solutionem, collit ille (ex carum plurimis) cerminum secundum: Ouod similirer in aliis (liquas omictit ille) fieri Porerie. IIIx aurem hae sunt. XIV. Aquatio aa aa + 4b a2a = =5566. Potico a = + e - B; Adeoque eccc = 4Becc + 6bb ec = 4bbbc. + bbbb = aaaat L+Bece = 12bb eC + 12bbbC - 4bbbB = = qBaa 4C= + C66C. Hit ecce -6bbec + 8bbb0 = +000c + 3bbbb. Cujus radix e = + a +b. XV. Aquario acaa 4b4aa = + 6666. eotiro a = F c = B; Adeoque eecc + 4b ecc + 6bbec 4bbbe = 66bb == aaa 4becc = +2bbeC - 12.bbbe = 4bbbb = - 4b4445 = =6ccc. Fit eeec = 6bb ec = 8bbbe = FC66C + 366bb. Cusus talla 6 = a - b. l e a 5ddddfaa 10995aC Vel.