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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 273v

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: 0.78.

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. 274r); this page is its left half.

The machine reads it as

  1. +aer
  2. Cl agX ⊓ aq ( d’e
  3. pX H
  4. +pet..
  5. +2pl..
  6. 1 3deo..
  7. 321...
  8. (1) 10 (210
  9. + aq de + aql
  10. + pd ..
  11. + 2pl3..
  12. +3det..
  13. +d
  14. eda
  15. 6(70
  16. 5
  17. +2pdet.
  18. +pt
  19. a
  20. d’e
  21. de
  22. 6de 14
  23. () 10
  24. subtrahendo jam aequationem 3. ab aeq. 2. fiet 3et sdl
  25. si gp. Eut Ir.
  26. et (C) +6e 7 1dc
  27. sive de P, eri
  28. altime aequatio
  29. L. Ex (B +B
  30. d +P
  31. d
  32. atre n
  33. snc d gar d . .) + Bira
  34. P 1+4, a r(+
  35. ego at vr +1b p quanticas
  36. affirmativa sunt autem
  37. 3el + pe - 3dl = pd B sive dividendo per e- d. cunqu in nostra sit
  38. fiet 3l + P B o ergo sel + pe 10. et 3d l + pd p0: et his ex aeq. 2. et 3,
  39. et ipsius e
  40. et ep -3a9+ 2p. Unde valore ipsius de n ag. 4. inserto
  41. ap Y+p = 3aqd + 2pd + 3 a9 12 aqu 4
  42. 81 d
  43. aequatio q plana, quae semper est possibilis quandocunque
  44. dimidius terminus dtertius. s u
  45. aut aerandecunue
  46. ut sit
  47. X3 + pX + aqX + ar p0. sint
  48. XN H = f. fiet 8 - dp + 3 e y
  49. Quod adeo verum est, ut exhibeat
  50. adhuc minus. Nimirum quandocunque
  51. secundus tertius terminus productae in aequatione:
  52. semato s cujus secundus sublatus est
  53. est affirmativus, tunc aq = pr.
  54. + p .. a2p.
  55. erg et a al non ieo semper et a p Lp. fiet
  56. +aq
  57. + a9
  58. Ergo ut aliquando hoc calculo exitum non reperiamus quem fardanico
  59. -
  60. + P
  61. =aqu
  62. 3
  63. 4. 2p3
  64. =ags
  65. +ar
  66. non reperissemus. Contra cum nostro primur reperinus, letim Cardanico reperiemus. Haec differentia e
  67. nimitum dabuntur exempla quibus aquationes eaedem radices et imaginarie in speciem et realiter exhibeantur,
  68. quae comparatio aliquam credo lucem praebebit. Nisi forte in reliquo calento ad idem reditur
  69. anter Extrorendum. Quod abitior. De seequo si ponams
  70. P H0.
  71. triduere asfirmatio nelu cui velimus sequereE
  72. sublatis, res idua aequationum 2. 3. inter se coincident, et habebitur
  73. + a Y 4.aqe
  74. fiet: destinetur in eo 2pde + del, et fiei
  75. non nisicu
  76. 3
  77. signa ipsorum contraria.
  78. aequatio. a9 f - P +. 3de, 0. sive - 3 a9 + 2p 7 de.
  79. 1d
  80. =aqX - a9 + 13 b
  81. +
  82. X
  83. H+3Fa ps.
  84. X P
  85. ege 1960
  86. lri
  87. + -a9f 1( bet
  88. 9
  89. apate...
  90. de
  91. + 5b0
  92. de enajs errore calculi mihi suspecta est, si tamen nullus subest, hinc rem ducemus memorabilem,

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 273v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0546?run=74