# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0288 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0288?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 264, page id 851708439:0288 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=288 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000288.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine # Lines: 61 recognised, mean confidence 0.85 # 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 G F B R A. Cdp. L. 93. Similiter; sumpto (per 556) secundo valore 4a = 0. 175, 483, 523; Adeoque a = 0. 4 18, 979, 47; 8 a = 0. 073, 527,65; et 16 a =- 6. 702, 7LI, 5: Erit (per 532,) 26 a = a = 6. 629, 193, d = 17b - b. 94. Cumque (559) invenimus unum ralorem B = 3. 972, 226, 866; hujus ope, deprimetur Cubica ad Ouadraticam aequationem, reliquas radices duas conrinen- tem. Hoc modo, Pata b = 3. 912,226,9=.0) )b3 = 27B + 6.629, 193, 9 =0 (4 (Bb + 3. 912, 226, 9b = 2. 604,480, 9 =0. bB + Cb = D = 0 O5. Hujus aequationis quacrariex, duxe lune radices; Nimirum, b = = 3C = Y: a C.9. + D. Hoc C(t; = T. 956, 173,5 = 2. 349,65T, 2. Hoc elb; + 0. 393,5377 =B. EL - 4. 305, 764, 7 = B. Sed veraque inurilis. 96. Ptam, POTIIO B = O. 303,537,7: ExIE 1 - a a = bc = +5, 8247506,5 b = 0. 393,53737 40. 210,897, 8. Adeoque a = 0. 275, 493,5 FF bb = O. 154, 87,2,0 16= 15. 824506,5 aa fb5- = 16. ab - 16. 845, T28,0 1 - 44 = bc = 25. 824, 506,5 = - 3. 675, 190, 8 FL aa = 0,. F75, + 93,5 Et vb = 18, 539,609,0 b6 = 25. 824, 506,5 Sed 5c=- X616, 926, 229,5 ab- 0. 16476666 bb + ac = 17. cc + abl = 18 =) 1627 081, 160, c 97. F. L, POLtO B = - 4. 305, 764, 7. Erit b= 4. 305,764,7 aa + b5 = 26. ab =- 2. 539,609,0 bb + ac = 27. cc ab (= 18)= 1X. 703,258,7 38. Similicer; Tumpro (per 566,) cerrio ralore a a = 27 416, 140, 14; Adeoque a = 4. L73, 264, 926; _ 16a = 66.772, 238, 8; e a = 72. 682, 566,8. FrIL. 16a - a = - 5. 909,928, 0 = 77b - b. 99. Cujus (per 567) radicem unam invenimus B = 4. 287, 022, 55. Fujusque ope, Cubica ad Quacraricam, sic deprimetur; Puta b = 4. 2.87, 022,55 =0) =)b3 - 27B = 5.909,928,0 =0 (1 Y (bB. + 4. 287, 022, 55b. = 1. 378,562 =0 bb + Cb + D =0 200. Cujus aequarionis quactratiea, dux sunc radices; utraque Nexacira. ZCFV: =C9 - D: HOc est, b = - 2. 243, 51X, 28 = 1. 793, 342,75 Hoc est, - 0. 350, 168, 52 = 3. EF -3. 936, 854,03 =b. Tuucilis utraque. TOT. Nam, DOSUO b = =0. 350, 168, 52: Prit c = 16 - aa = bc- 2.416, 140, 24 = + 4. 041, 16746. 0350,168, 52 264 Sel bb - 13.507,02793 ab = - 2. 803,768,6 Adeoque