# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0205 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0205?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 181, page id 851708439:0205 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=205 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000205.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 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. Pract Piracti 10cet s Cap. XL. V A F G H B R. a. G A P. XLV. Fjusdem usus, ad resolvendas aequationes Cubicas. N Aquationibus Cubicis (eisque altioribus) res operotior est quam in Oua- dratieis. Onamvis enim, in his, pariter acque in illis tollatur secundus ter- minus; hoc tamen Tublato, reltat alius porro intermedius (li non ee plures) adhue collendus, ut prodeat aequatio simplex. HOC ve tiat, in Cubicis; tublato uc jam dietum est (siquis adsic) termino secundo; sic prosrcdiue ille (etemplis XII e XIII.) XII. AEquatio aaa = 3bba = + 2656. POTito, a - ee Adcoque Feceeee = 3bbecec + 3bbbb ec = bbbbbb Fit Hoc est 3bbecee = 36bbbee Leccece = =bbbb0b +2c0cceC. +ecec = 26CC e eC = = bbbbbb. Oux est A quatio Onadratica aftecta, Tolidam radicem habens eee. FIxC ut reducatur ad quadraricam simplicem; hac (pro more Tuo) utitur methodo: Nimirum; Ouadeatum semi coetticientis termini medii, addit utrique parti aequationis: (quo pars prior tiai Quadracum in Speciebus.) eccoce = 206cecC = CCCCCC = bbbbbb =CCCC6C. Adeoque radix trujus. eec = cc0 = =V: = bbbbbb =CCC2CC. (Ubi ralor altirmatirus aue negatirus locum trabet, prout cec minor est aut major quam eec. Adeoque, hoc calu, valor altirmatirus; quoniam, Cx PrO. celtu hactenus praeterito, jam liquet, e majorem este quam c.) Adeoque eec = +000 = V: = 3b8bbB = CCCCCC. FF e = 1C. + 0cc = V: + bbbbbB. + CCCCCC: Tum, quoniam (ex constructione) a Xqua C dum valorem iptius; notat eec. bbB. 306200 leue -: Ad exquiren. eeo. elle quancicales concinue proportionales. Adeoque et carum radices cubicas c. b. Indeque protae, = Y C. - 506 = V: bb6bbb + e66666. 26 (Nam