# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0227 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0227?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 203, page id 851708439:0227 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=227 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000227.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 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. +66 +160 Cap. L. II. A L G F B R A. eecc = 4beec + 0bbec = 4BBBc. = bbB0 = (1 d. l. a ) 46600 = 1200b6 126bbC = 46666=- 4baaa SCc + 2bffe = bbff = - FFa a Fit eceo = 6Bbec + 8BbB0 = + 555C. Cujus racix, e = - a f B. (sec = 2bffC + 366bb bbff ZXXIII. Aquatio, aaa a + 4baa a = a a da = + 556C. Potico a = = e = b: Adeoque eece = +becc = 6bb ec = 4Bbbc = BBbB = - = a a a a) + 4 beee - 1266e c + 12bBb c - 46666 = + 46aaaC = = 6666. ad de F bd d d =- d d da) Fit cecc- 686ec +86660 = =5c00. Cujus radix, c = f a + B. dd de + 36663 badd XXXIV. Aquario, 244a - 4b a a a. + d a d a = + c06c. POtIto, a = + e f b. Adeoque ccce. + 4Becc + 66bec + 4bbbe = Bbbb== = a a a 4) 4beec = 22. 6b ec = +2 bBbc - 4666B = - 4BaaaC = + 6666, + adde + bdad= ddda Fit cccc -666cc - 86660 = +5556. Cujus radix, c = + a - 6. dade + 36666 bddd Aliaque muica exempla potuillent acdi ( aut etiamnum postunc, si cui libet id prosequi:) sed haec sutticiune ut quae calus trequentiores alcingunt; viamque montrane plura deliderantibus. FIa autem Biquadratiexe, non (ut Ouadratiexe Cubicaque) ad simplices redtu- cuntur; adeoque nec perfecte Tolruntur: sed Terminus tantum secundus abjici cur. Ouod et similiter tiet in Aquationibus acthrue altioribus. Atque sic delinie Algebrae TCarrioti pars prima. Pertectam aurem alciorum Aquacionum Retolurionem, retert ille (ut anre il. lum Oushireauis ee Pieca) ad luam F.resesin Numerosam, quam parre secunca tractat. P. +CCCC. De FTarrioci parte Secunda:; Quae est de numerosa Resoluitione Agnum AffeCtarum. EGebra Flarriosi pars secunca, verlaur in Pregesi Numerosa; Lve Fx tractione Radicis Afectarum Aquationum in Numeris, qualem in simpli L cibus Aiquationibus achibere Colent. Cujus quidem intienis usus est praelercum in A. quacionibus acioribus, qlae duttreus admicune alids teclolrendi Regulas. tionibus Simplicibus: praeserrim pro extrahenda Radice Ouactratiea, Cubicaque; Craco alibs.) Fam aucem sequacionibus ARectis (neleio au) Pioca primus omnium 2 adhibuie Fac Exegelis Numerosa, jam olim cognica est, et pastim achibita, pro Aqua-