# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0170 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0170?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 146, page id 851708439:0170 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=170 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000170.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.77 # 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. A L O F B R A. Cap. XXXIV. 2. r+ a = + g. Y + 3rra + 3raa + aaa = = 499. Radix, + g - r. hoc est a. + r -g -0. aa a + 3r aa +3rr a F rrr =0. 292 ZL. a - r = + 9. aaa = 3raa + 3rra = rrr = + 999. Radix, + g + Hoc est, a - r = 9 --0. aa a - 3r aa + 3rr a = rrr = 0. Vel; ut tas aequationes post repetie, =492 IX. B a- - +c. a = B - c. aaa = 3baa = 3 bba = = bbb -cc5. Radix, - c. Sect. 4. DC. 12. Z. a +B = +c: a = + c - B. aaa. + 3 baa = 3bba = - bbB. f Ccc. Radix, C- v. Sect. 4. PF. 10. XT. a B -- +6. a = = B + c. aaa -- 3 baa + 3bba = + B6B. + ccc. Radix, b + 5. Sect. 4. PF. ZI. = 2b. a b - 1b. aaa = 3ba a + 366 a =2bbb. Sect 4. pr. 13. Radtis 28. e A C. ARAIV Aqato tab Mbtodabi. abinis Laceralibus. Ouationes Biquadratieas similiter derirac: Vet ex quatuor Laleralibus; rel ex binis Quadraticis; vel a Laterali et Cubica, vel a Quadratica e Radices; =B, F C, = c F 5. 2a4a - ba4 a = bCaa aaa = b da a daaa =cd a a - bc d a Faaa bF aa - bcFa +cFaa - b aFa +afaa - cdf a + bcaf= Sect. 4. Pr. 20. aa a = baaa F BCa a aa = bd daaa + cda a = Bcd a Faa a- b5aa F bCfa cFaa = baF a dfaa + c dfa - bcdf 0. dices, = B, + 6, + d, - f. Sect. 4. BI. Lu TII. 146 lc 1