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. 273

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: 0.86.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. 1
  2. Cap. I. XIII. A L G F B R A.
  3. =2.9: adeoque bb = 8. 41; 5 (= Bc -: B) = 3.276; 60 = 10.732; ab (= 18- 6c)
  4. 7. 260; FF b = 2. 85T; minus quam ponebatur.
  5. POnamUS ergo B (= 2. 9) = 3. adeoque c (= BC -: B) = 3. 167; 60 = 70.
  6. 028; ab = 7. 972; b = 3. 127: plus quam poncbatur; adeoque b = 3. Mi
  7. nuendus.
  8. Ponamus itaque B (= 3. Sed = 2. 9) =2. 95; (adeoque ob =8, 702:) Fr∞O
  9. (= bC -: b) = 3. 220; 60 = F0. 37C; a b = 7. 629: b = 2.992; plus posito.
  10. Ersob =2. 95 minuendus. Scd, hoc manente, erit ac = 8. F98; adeoque (DFOPTCE
  11. Bb =8. 702,) 3b + a6 = 26. 900 - 17. adeoque a manente, auxendus cHet b.
  12. Sed e a manence minuendus etat. Frgo, a a = 63 non constabit; sed minuen-
  13. dus est, quo augeatur Bc.
  14. 24. POnC a (=2.549,) =2. 5; adeoque a a = 6. 25, = 64; b0 = 9.75; Tum
  15. est b =, e c =, (Vb6 =) 3. T225.
  16. PonamuS B = 3, 12; adeoque 6 (= BC=: B,) = 3. 126; Bb = 9.73; C5 =9.78
  17. Sed esset cC - bb = T.
  18. Ponamus B = 3. F; Tum c (= 3. 245) =V FO. _ B = V9. ErgO B adhuc
  19. nimius, ee c justo minor.
  20. PonamuS b = 3 = V 9. TUM C = 3. 25; CC = 20,5625; ab (= 28 = cC)
  21. 27. 4375; b = 2.975. Ergo jam c nimius, et B justo minor.
  22. PonamuS B = 3. 02: Tum 6 = 3. 228; CC == 10. 423; ab = 7.577; b = 3,O3F.
  23. Firgo c debito minor.
  24. Ponamus b = 3OF: Tum C =3, 2392; 60 = 104924; ab = 75076; b =3.
  25. 003. Frso B debito minor.
  26. Ergo (BC SC ManEHLC) est B = 3. Or, debito minor; et c = 3. 228, debito mi-
  27. NOT. Scd, his manentibus, BB = 9, 06OT; _ ac = 8.070; adeoque bb + ac
  28. =47, 43 = 17. Erso b0 sic conttare non potelt, sed minuendus est, quo a a
  29. angeatur.
  30. 25. PonC a (= 2.549, Sed = 2. 5,) = 2. 52; adeoque a a = 6. 3504; _ bc
  31. =9. 6496, (minus quam prius:) ee quarendi lunc b, c.
  32. POnamUS B = 2.95; Tum C = 3. 27L; _C6 =20,699; ab = 7. 301; b =2. 807:
  33. Frso b ponebatur debito minor.
  34. Ponamus B = 2. 08: Tum C = 3, 238F; 60 = 104853; ab = 7. 5247; b =2.
  35. 082. Erso B Donitur debito major.
  36. Ponamus igitur B = 2. 975: Tum c = 3. 2435; 60 == 10.5203; ab = 7. 4797;
  37. D = 2.968; ergo B ponitur jucto minor.
  38. Scd Potito b =2. 975; et 0 = 3. 2387; (mrisque justo minoribus;) ee retento
  39. b0 = 9.6496: erit bb = 8. 8506; e ac = 8. 1599: Adeoque bb + ac = 17.
  40. OTOS = 17. Fr3OBC =9.6496; _ 44 = 6.3504.
  41. 26. POnC a = 2.525; adeoque a a = 6. 375625; b0 = 9. 624375.
  42. PonamuS B == 2. 97; adeoque c == 3. 24053; 66 = 20.5020; ab = 7. 4990;
  43. b = 2.9699.
  44. Sed bb = 8. 8209; ac = 8. 1823; bB + ac = 27. 0032. FrCO a = 2.525.
  45. 37. POnC a = 2. 5255; adeoque aa = 6. 37875025; b0 = 9,62784975.
  46. Donamus B == 2.96918: Tum C -= 3. 24057475; 60 = 10.507323; ab- 7. 498677;
  47. B = 2. 969285; nimius.
  48. DS b = 2. 969278: Tum c = 3. 24057604; 00 = +0,50T339; ab = 7.
  49. 49866T; b = 2. 9697788; aliquanto nimius.
  50. Scd, hoc posiro; erit bb =- 8. 816028; ac = 8. +840777; bo- = ac == 47, 000095:
  51. Freo aq aliquanto major, sed pauxillo major, quam 2. 5255. Nam
  52. POLito a = 2. 5255 +
  53. Frit ac = 6. 37815 +
  54. b6 = 9. 62165 -
  55. 16,00000
  56. b = 2. 969778-
  57. bb = 8, 826018 L
  58. ac =- 8. 184077. 7
  59. L1. 600095 +
  60. ab = 7. 408661-
  61. 18,000000
  62. 6 = 3. 240577-
  63. 60 = +0. 501339+
  64. Saliem aa 6. 378131
  65. b0 = 0. 62 162 Y
  66. 15. 99977+
  67. C6 = 20. 3013331
  68. 1b = 7. 498659
  69. 17. 999998 +

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. 273. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0297?run=74