Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

LBr. 705 · Overbeck, fol. 6r

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.

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

The machine reads it as

  1. quaeritur Sax (( tabXX + aC) sit X = Val + VanfinlXX = a L + 2a Vm et X - aab. + 6 alm. 1 4 aal in
  2. Ergo X rabXX + ac = aall +6aa ln + aabLrac + +aa 2 ln = yy = qu (ap + fs) = aa pP + fIn + 2a fp s In
  3. e vurians f constans
  4. quod si duo valores ipsius yy coincidentientur; fiet fp = 2 l + ab seu p = 2 a l + ab. compendio a: f sit 7, fiot
  5. n
  6. ob irrationales, + 2 aabS
  7. p= 2. 7 l + 7b. (b rationales fint pp + L In = Il + 6In + H + ac Et pro PP ponendo valorem, filt
  8. debot autem major esse quam Aaa
  9. 4. 7.7. I + 4. 7.7 In + 4. 7.7b n + 7. 2 bb = l + 6ln + bl. + ac nam si aequales sint omnia quanescunt variantia
  10. in + L In sit l 3on 1 st fiet
  11. +4. 3 go. 3onn + a. 7. 77, 2. 1. 71n + 4. 7. 7) 31 3
  12. a 4B. 7.77. 3n ac
  13. +4. d 30bn +4. 7. 14.
  14. + 4. X71br2
  15. l + (42 en + b) l +
  16. Ibi si seret
  17. (42. 42 -1) un
  18. 4141
  19. 4. 21. 41
  20. 42. 42 -1 nn + 2
  21. at ergo radix extiui poslit debet
  22. arabb
  23. )) aa1
  24. si H minor, non possunt destrut sine imargnariis
  25. compendio 4. 7.7-1 vocetur 41 8. 7. 2+ = 6 Et 42
  26. et fiet 4. l + 42 lu Y 41 bl - ae =0
  27. et ac 7rbb = 0
  28. Reperi explicando literas E per 10v + 1 et
  29. 200 +21, non posse effici ut tollantur
  30. c variantes. Itaque neque effici potest, ut l et n
  31. habeantur per se invicem rationaliter integre
  32. seu ut l et n sint simplices simul ambae, quod
  33. desiderabatur
  34. +2 (32-2) bn + bb-4 ae
  35. L bn
  36. 42. 42 - 1
  37. 41. 41
  38. 42. 42 - 1
  39. 41, 41
  40. qu ( bb esse =
  41. = bb
  42. ae
  43. e
  44. bb - 2 ae
  45. 42. 42 - 1
  46. per n simpliciter iterie quod scimu non puccedere
  47. . (h + - c) L = (Morf s. d _ + at
  48. =(m + n Y- 1) l + m + n V- 1 n
  49. 11. 4
  50. + (5 +9 + - 1) 1 F_ - (P+ 9V- 1) n + ab =c
  51. -a (p +9 L- 1) l
  52. + (f +91- 1) n. + ab
  53. a -(5 +g a1) (p+ qV. 1) I + nn) +CFtgd -1) ab (1tn)
  54. - (p + qV. 1)
  55. + 1ol2on + Ab
  56. Radix aequationis, non homoeoplota
  57. etsi aequatio homveoptota
  58. -20l +10n + ab
  59. 102oll + 10. 10 ln + 10, abl + 10 abn + aa
  60. H (( 10. 10 + 20. 2 - 10 + 20 r 5L. - aa rr = 0
  61. = 205
  62. 20. 20)
  63. 41
  64. = un
  65. ae sed si lale aliquid sucocedere haberetur
  66. 42. 42 - 1
  67. 41. 41
  68. 20
  69. 10.20
  70. Haec aequatio conferatur praepositae U + βIn + V al + d aa tit arr = - 10. 20 aad
  71. - 10. 20nn
  72. sin + po un
  73. 10.20
  74. (t 10. 20
  75. rursus r - WY aa. 10. 10. 20.20. nn (- 10 +20) seu V aa. 10. 20 = - a ad qu 1aju (- 10 + 20)
  76. unde datur relatia an 20:10 nam fint, 10. 10 - 2. 16. 20 + 20. 20 = - WV: 5) 10. 28 unde
  77. to 20.30 LC+ VB - 2) 10. 20 + 4 qu (Y 15 - 2) 20. 20 = (qu (1
  78. seu 20 +20 = + d) 1- VY: 28) : (
  79. e sio
  80. seu 20 = 1 - + a
  81. 27
  82. D 47
  83. e
  84. Y:5) -2)
  85. 1. 20. 20)
  86. +4 - 4))
  87. V- 45)
  88. + +(YS 20 + Y7- 2d -
  89. 4- 4VY5+ 45d) (-add)
  90. 1020 4 1030(B : onoB. 4i d. 61
  91. 1090+ 20. 20 = - 10. 20 (3 fit
  92. 2F + 5 )C)Y- 4d). Sed rursus Cc fi 2s = iPt + sB- a)
  93. seu 28 - -
  94. 20
  95. 14. 7. 7.
  96. 49,7.7)
  97. 14
  98. 41. 41

Cite

LBr. 705 · Overbeck, fol. 6r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-861255:0011?run=74