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. 248

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: 0.72.

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

The machine reads it as

  1. A _ C E B R A.
  2. dp. L XI.
  3. 75. Hoc est; Reduetis omnibus ad communem denominatorem (An n in M a
  4. F V: 8n a2 = +2 In a a - = m m a a F 4VIn:) eoque Tublato;
  5. 4mmnna 4mnnV: 8n a = +2 In a a mm a a f 4. VIn: =
  6. 524.mn a = 36Imn a = 4m a - 8n a = L2IIm n a = 8In a:
  7. EDluS: 8n a = +2 In a a F 4. m m a a = 4. 1Jn, in V: 8n a - +2 ln a a t mmaa. AIl.
  8. 76. Et (traniponendo q. m mnn a)
  9. 24 mn a = 36Im n a 4 m a= 8 n’ a F (2IIm n a = 8I n a = 4 m n a-
  10. 8n a + T2In a a am a a 4VIn + a mnn: in V. 8n a2 - = 2 naa m’ aa l 4Un.
  11. 27. EL (aequalicer vrinque dividendo) dai s seiet custs
  12. 24mn a = 36Imna + 4m a = 8n a F =2VImna + 8In a = 4 m n a
  13. end +12lnaa ammaa 4uIn + 4mnn
  14. =V: 8n a = =2 In a a F m ma a + 4Iln.
  15. 28. FL (abbreviando tractionem per 4)
  16. 3Iiset L1S IB CIOC
  17. omna =oimnai + m a = 2 n a F 3UImna 2IWa = mmnna (A.
  18. Lna F 3tMaa=M Itn Mnn
  19. =V: 8n a = +2 In a q. + mma a. + 4VIn: (Y: F. 4.)
  20. 10. Tum, verinque quadrando, (quo tollatur noca racticalicatis;) pula
  21. K. a = F q. Trerumque restimendo mulciplicationem, A. g = A g X F. g.
  22. 19
  23. 20. Sicfet A9 = 4 nn a = +2 Inna = ammna F 13Vnnae =oImmna
  24. + m a = 4 m n 3 a = 61 n n a a = 21 M M n ∞a + 6l m W a a = 2 m n n a a
  25. + 12nn- 2 lVm n + m m N.
  26. 2F. EEEg = Bna L T2Inaa Lmmaa F 4Iv.
  27. 22. Ft factum ex his, AgXF 9 =
  28. 32 n’ a 2 = 244 a = 264 I a = 252 2 n a + +321 n a - 36P n’ aa + 4 len
  29. + 36 m n = 208Im n + LT7 Im n- 54Pmn + Obm n- 8bmn
  30. EHon = Lolmn + Oumen + 48lmn + aumn
  31. 32 F Son-04Umn= ToUmn
  32. 30m n = Z2 Im 13 0
  33. 2Om n = 2wn + mere
  34. 8m n
  35. 36 m n a = +08 m n’a =. L27 Um n’a = 54 Pm n’ a + 9bm n’ aa V
  36. 22 mn
  37. 6Umn
  38. t
  39. L
  40. mo
  41. = 28Imen + CUmn F T2BMn
  42. Bohmut
  43. m
  44. 26m n
  45. L 22. Men
  46. 8In
  47. 2 Mn
  48. + 4m v
  49. 4.n
  50. 25 EC A9-
  51. 24. M1
  52. + 4. n
  53. 4M 1
  54. men
  55. =48 lm
  56. 24. Cum itaque sic A 9 X F. 9 = A. G; Tublato hoc ex illo, restat.
  57. 32 n a - 244m a f 264U ad 25 2B n ad 232V1 a = 36P. n aa + 4 Pe 1 =
  58. 8mn + 36Imn- soumn + 36l mn- 8ann
  59. mn + eImn = 4mn + aumn
  60. 4 + 8n - 4Un
  61. 4mn = 8m 1
  62. midituline 0.
  63. 25. Omniaque diridendo per 32. n
  64. 1 + 33a = 8 a f 33 A a = 8P aa F 8
  65. mn = 3mn - d Umm + 3Bmm = = Vn
  66. FM. +
  67. 21 +
  68. ZIm
  69. EIm + Umen
  70. M = Z IIm
  71. 3mene = = men
  72. 20. POHtO.
  73. 2. 416

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. 248. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0272?run=74