# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0186 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0186?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 162, page id 851708439:0186 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=186 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000186.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine # Lines: 78 recognised, mean confidence 0.72 # 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. 2 XII. Biquadratiearum Terciam aaaa = baaa = bc a a = bc d a = = b5a5. Fcaaa: = bda a -- bcf a Ydaaa = cd a a = b dFa Faaa -- bfa a - cdF a essaa aa 2 a - bb a a - bbCa = = bbc d bbd CCa dd cd. d 26c d AE CF B R A. CaP. XXXIX. POLito B F c F a = = f; ad hanc reducitur, LBCCa Radices, - 3, -c, b0c + b0dd. dus e b+ c + d = +s. ielb. 4. PL. 26. XIII. L. adtem squaio; Polico Bc. + B a + cd = v f. + cf. + as; adleoque 6c. + ba + 5d b =c. = dSi ad hanc reducitur; aa aa = BBaaa = BbCCa = = Bbc0d Radices; = B, - c, - d, e 66. =bba4 = bbCa a bc + bd F cd +dd - ccdd + bccdd. B +. c + d =bc +bd = bcdd = bccd FCd - bbc d 3+ c + d Scct. 4. pr. 29. Bcd XIV. Eadem Aquatio; Bosico BC d = b5F + B a f. + 5 ds, adteoqe vc + bd. cd =f; ad hanc reducitur: aa aa + Bbcaaa = bBcCa4 = = BbCCdd. + bBd = bbad +bcC = ccdd Lccd et et + bcdd 66be obei =cad 2bca db1da F6d Radices, - B, - c, - d, 8 L bCd Be + bd FCa Sect. 4. Pr. 30. aaaa = baaa F Bcaa = bc d a = = bc af. Caaa bdaa BCFa daaa- cdaa- bdfa Faa a bfaa- cd5a cfaa dfaa Polico b. +c = a + 5; adeoque B + c - a = s; ad hianc redueitur; aaaa + bd aa. = BBCa = = BBCd Lcd LBcc = bcCd Fcdd =b0 c0 da bda e =bbd b b a et +bCaa Racices; F b, f c,- d e -c a Sect. 4. Pr. 31. lo ilar.