# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0284 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0284?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 260, page id 851708439:0284 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=284 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000284.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine # Lines: 52 recognised, mean confidence 0.82 # 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 a 1. =4. 273, 264, 926, 4. 2.87,02.29553,E P1OXIC. Cap. L. XII. . 3301331,6157 10. Et praestanr quaesicum: ut ex calculo pacet. Nimirum au =- f 27. 426, C40, Fq4. bc = = 2. 416, 140, 14 aa = bc = +6. bb = + 28. 378,5C C 2. 378, 562.137 bb + ac = 17. c0 == = 6, F09, T19, 14 ab = = 27. 890,880,85 cc = ab = 27. 999, 999, 93) proxime. 71. Ouippe, hoc casu, cancundem est, sumere aa + Bc = 26. Bb + ac = 17. 60 = ab = 28. Per C NegatirM; FE aa b0 = 16. bb - ac = 27. Cc f ab = 2B. Der C ASirmacirum. 72. Similicer; s paricer consideremus posteriorem duarum radieum 565: Nimirum ee = 32, 060,290,88 Ouippetum aa == 26, 030, 145,44 Adeoque a = 4. 003, 766407 At at = 256. 965,562,63 73. Verum, cum, pro radice b, aequationis quadrariex G10, ma = V: 8n a : = +2 In a a = mm a a + 4IIn: = 2. n b. Oux vel attirmatira est vel negatira, prout L aut = nora radicalitatis praetisi- cur: Sumenda ell, non (uc hactenus) altirmatira, sed nexacira radix: quo ha. beatur valor b negarirus. Nimirum, ma = Y: 8n a = 22. Inaa = m maa = 4 VIn: = 2 nB. 74. Sic habemus, 4VIn = = 18432. = 8n a = 244 at = = 37003, 04F,05 =22 In a a + mmac = 167 aa = 50767. 470, 62 4667. 570, 44 75. Adeoque -V : 4667. 57044: = - 68. 319, 619, 72 =m a = 17 a = + 68. 064,028,92 2. n b = 36b = - 0. 255,590, 80 Adeoque b = = 0. 007,099744) 36. Inventis aurem a, B; habetur (uc prius) c - . . Ninicum, 26. 2b. 6503t4371t 9. 030, 145, 44 = + 4. 245, 989,3 =5. 0. 007,099,74 77. Flabemus uaque jam quarca vice, numeros a, B, 6: Nimirum e aa= a = + 4. 003,766,407 = d. C BB74q C prO. = =4. 2437909, 3 78. Ht