Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 3 A 3, fol. 2r

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: 0.76.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 3v); this page is its right half.

The machine reads it as

  1. splemt.b78.
  2. De rationali potesenta parte protestatum diradicibus siceda
  3. de C∞.
  4. X det B8
  5. de
  6. Ra + bX + CX dX) C X +fX + gX
  7. B + _X + Z X + 3X + 4 X +∞ X+ 6X
  8. AbiX 46bX +SCX +6d X + +SX 69 X 02
  9. 4+6aX +5b 45C +5d +se 5f +59
  10. +4aX 14 Hac +4d +4e gf +ag
  11. X epx+q +Y
  12. XAX+B.
  13. quX abpX b92
  14. t xp pos
  15. p 192
  16. XI + -pXPF q
  17. +29
  18. X+ XC p. aequ. 0
  19. X P a
  20. +2 tax-ab
  21. a cp aequ. 0
  22. seu aaequ + p.
  23. X X - a p aequ. 0
  24. X2 X - p aqu. 0
  25. Jam etsi X - pX + qX = r aequ. 0. velis atsollere ad X D. X. X
  26. tamen in secundo termino aequationis provenientis non potest esse nisi p. et g.
  27. seu -p +2q. ut ante. Quia Y non potest ingredi nisi ingredia i rh. sed
  28. ita non seduatur lex homogeneorum. Unde praclarus ejus usus apparet quem
  29. recte servavit Vieta ,non ita recte Etantum novandi causa, neglexit sartesu
  30. Est ergo = p + 24 summa quadratorum Radicum.
  31. XoXix reas exu
  32. X pX +qX rX+ S ExAVX- WX xX+ corq
  33. XpN+ qHXexxX+ co
  34. Hox pCx Gqox r X+SEoN x t noW stX aoX +r
  35. X ∞pX + 4X - YX + SX- LX + v aequ. 0
  36. X + pX +9X +r X +) X +tX + v
  37. X -pX +4X - YX +sx- lx + vx
  38. +p = p +Y4 -pr + ps - pt + pFX
  39. +9 - pu +9 - q + qs - qf + qu+
  40. +r
  41. + tgy q tipco
  42. -pV +qB -r Ar -r +DVX
  43. +s+
  44. -ps 445 - r3+ +sB sat5 + st vX
  45. 1 -pt +9t -rf +55 - +0 + tv X
  46. +v -pV +qV -r +sp- V +
  47. ip tx x tiqe p + tistr X +v aequ.0
  48. +29)
  49. 1o
  50. 4, v
  51. -2r315
  52. +58
  53. +216X X Lquv xt A +sX X +v aequ.q
  54. -+10
  55. vel sic ordinando:
  56. -2pt3
  57. +2915+
  58. -215
  59. X2+ pX
  60. Iaequ. b
  61. X X APX X Y) ipBX X
  62. +9
  63. trst
  64. +25 +x
  65. 2b13
  66. aqu. 0
  67. X X +29X
  68. A scubuluo ingelento p le rq. 4 94
  69. et ita
  70. +sd
  71. Ita melius apparet, lamidiia
  72. modusque continuandi in infinitum qui hic est
  73. -r6 ita enim signa semper alternantur, omnist inembra
  74. pro secnd multiplicantur per 2 excepto penultimo lilerae autem ipsae. Sic patent:
  75. 2
  76. qui quia ultinus est simplus. pro Termino quinto incipos a quiulo aequatiunis datae, qui est 5+. dupliea cum signt +
  77. fit a s+ inde retro ad r3, cui jungi debet p ob legem homogineorum, idque multiplica per 2 per regulam fit 2pY
  78. inde porro perge retro ad g. sed quia cumalio onjungi non sit conjunge seum fit _ et quidem cum 4 be
  79. altermationem, et simplum, quia vltmndue. Ita de caeteris som ergoogo haberetur productum siaequati
  80. esset X, vel xen.
  81. X

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 3, fol. 2r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068216:0003?run=74