Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[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, fol. 285

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.81.

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The machine reads it as

  1. Cap. L. XV.
  2. A L G F B R A.
  3. Sumpris, nimirum, pro arbitrio B, C, sic limitaris ut docetur AP quat. 38, 39, 40. Caetera
  4. sc procedunt.
  5. 20 HA = EBCHCC. B = 12BB -- 2BC , C. = 1 2DC = 2CC.
  6. T2B- 2C
  7. 24, 26, 4 2 42X (=.
  8. 25, 26, 4 7 43) 2 (=
  9. 12 B = 2C.
  10. T2B = 2C.
  11. 3a. + 3b + a = B. Fc, 22BB -CC.
  12. 22B - 2C
  13. 3a. + 30 + a - b - 0)6BB - 6BC - : CC.
  14. 24,4. , + 2 4+ R (= a + x
  15. 24 4. C 3) 45)F (= a +)
  16. 15,+ E, 12 46D(= b -.
  17. 25,4E, 13 47V (= b -)
  18. 4. 29 42 4348
  19. E2DB F ZDC
  20. 22B = 2C
  21. 6BB - +BC F = CC
  22. +2B = 2C
  23. 2BC. L CC
  24. 12B = 2C
  25. 6BB F 4BC F ZCC
  26. +2B- 2C
  27. 126 -2C
  28. A = 2BC f CC. X = +2BB - CC. Y = 6BB - 6BC - = CC
  29. 1 45, 46) HoC est, B = 12BB - 2BC. R = 12BB + 2BC. T =6BB - 4BC: + : CC.
  30. 1.
  31. C = F2BC - 2CC. D= 2BC + CC. V= = 6BB F ABC f ZCC.
  32. Cum communi denominatore 12B = 2C.
  33. 40 AA =gBBCC + ABCB + C. AA FBB = c4+B, 48B. C. t SBBCC ] +BC5L C1.
  34. BB--14+B.- 48BC. + +BBCC. AA- BB- 144B, + 48BC Y ABC3 + C+
  35. 2 AB = 48BC F I6BBCC - 4BC.
  36. Cum communi denominatore T44BB - 48BC + + CC.
  37. SOKK = 141 B f 48B.C + ABBCC. KK + DD- 141B + 48B.C. t BBBCC- ABC fC
  38. DD-- +BBCC ABC fC. KK DDF4AB + 18B.C, Y ABC- C+
  39. EKD = - +8B. C + 20BBCC + ABC. Cum eodem communi denominatore
  40. 57IF = 36B. - +8B. C + 22BBCC 4BC + : C.. LP L WV = 72B. + 44BBCC+; C.
  41. VV = 36B3 f40B C ] 22BBCC ] +BC +. (+. YT VV = 96BC 8BC.
  42. eTD = 72B, -2OBBCC +; C. Cum eodem acthue communi denominatore.
  43. 1505+52AA + BB f 2AB = KK + DD f EKD = FF + WV + 2 TV = ; Ambic.
  44. 19505
  45. = r4+ B. F 24 BBCC F Ca. Cum eodem communi denominatore.
  46. 532NB - 2AB, (= A A - BB in 2AB) =ZK D- ZRD =2FO-2TV3 = Arex.
  47. = - 6922B C F 1344 BC3 f TT2B.C =4 BC. Cum denomina.
  48. lore 20736B - 23824BC. F 3456BBCC -38+B0 + 16C.
  49. Frujusmodi trinorum Friangulorum mulca Dellius extibet specimina; quorum deseri-
  50. bant paurea. Obi en hp, est crus; F,m, 9. semi balis; s, n, r, alicudo, in suis respectire cri-
  51. areulis: et a b; d; ce; altumpcorum quadratorum lacera; Dura au = bb = e; ec in
  52. religuis similiter.
  53. 8
  54. 29
  55. 203
  56. 677 705
  57. 6082
  58. 802 - 8c
  59. d8 2C
  60. [278]F201X02
  61. 386336]590, 2
  62. 3
  63. 23:
  64. 709(660]259(22 231112 2153(2((14043 )= c2531 148077
  65. Oui plura Dec apa Lem Bide quaerat, Pa5. 266, 267. Primum horum cum Schoo-
  66. seni are. Carcesii numeris coincidil; quanum ad duo prima EiaBUa: tertium rero trian
  67. sulum hi nesligune.
  68. n
  69. FA

Cite

[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, fol. 285. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0309?run=74