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Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 34r

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: 0.75.

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. 36v); this page is its right half.

The machine reads it as

  1. aultimis Terminis
  2. eβ - fBAa Ex prima collatititus
  3. l
  4. +a fga + 4a ebg + 2ef β + 2a f
  5. Ba
  6. e
  7. a
  8. seu ultimie
  9. Ex secunda collatistr
  10. s
  11. B ar
  12. 2aef( + 202(3 - 3f94- 4eβ9a - 2fBa
  13. C’a
  14. v
  16. =8ga + 609 a
  17. 2
  18. (Dβ4
  19. 10
  20. 3+
  21. 29a
  22. ne enultims
  23. i vertra
  24. collatitia collatis
  25. Jam ex secundis collatis, fier:
  26. (5) Be 4+ 4ac f 4e ) - 16 fga - 8e (39 - 4 f 34
  27. 16
  28. et destructis destruendis, asque ordinando
  29. divisis omnibus per β, atque rotdimatdo
  30. fier.
  31. etga +16
  32. 9B4
  33. - 89a e + 6D9 a 169 at +165926 +45( a
  34. +
  35. 2
  36. (4aeq2a F ae C+ 2C (3- 8 fga d e βga-9 et (3 fB a
  37. A
  38. ) (+efβa) 4 e β3
  39. ib g a + 165ga + 4 f2βa
  40. sive e p, + 4ga + 16g ae + 1659a + 45 à
  41. st
  42. et extfacta lavile:
  43. et pro g substitmendo ejus vatorem, item pro g uigr: + + 2ef
  44. Sed jam video non fuisse ad extrahendam radicem accedendum aute
  45. explicatam 9, quia in ea est e, resumenda ergo est aequatio quinta
  46. et in ea explicenda g et gr, est autem g e β + 2ef
  47. 14
  48. 12
  49. 5
  50. β+ fh
  51. a
  52. et fer:
  53. 2
  54. ea
  55. (9) (e a + (3fe( a +(10fB a + (d) e a 485βf a) C 4f Ba) 10.
  56. AI
  57. destructisque destruendis et ordinando, divisis prius omnibus per a fiet.
  58. (10) 9eβ, + 4af ~oeβ + 16af (16af = 12f
  59. +a
  60. (1) et extracta Radice,
  61. (12) sive e HI, - 2af
  62. 3eβ + (9 a f (2af)
  63. (13) Ergo gequ aequationi 12. tingendo aeq. 1. fiet: g
  64. (2) Et eg, erit ViC +256
  65. sive 2f
  66. (+ 2asB- sCF - fC
  67. a 3a
  68. 3a
  69. aequatione 2. substitutis;multiplicandus est totus valor ipsius aequationis 2.
  70. per gBa, ut omnia divisioni dividi possint per Ba gea, fietqus: Nimirum
  71. 15) +3F ist omnes termini multiplicandi per 3, excepto uno, ubi est eq: omnes
  72. termini in quibus est e multiplicandi per-6aF omnes termini en quibus
  73. est g, excepto ipso
  74. ror. del altiplicandi per - 3Bf, et ita fiet, et eu per
  75. 15) 12a fβ + Aa B25 - 12 f8a7
  76. 2F aB, fiet:
  77. t. eor in seyqus. erratum
  78. X2
  79. 9B a3. Eodem modo quae remus valorem ipsius i exaequatone sta ubi
  80. m ingrediatur et et 4a f, ideoque multiplicanda sunt omnia per osta, et fier:
  81. h. 2a5 ( 2a(3 aβ +16. 40es a + 8f a B3 (- 4Pa25 a - 258a9 a -25
  82. 9(+a3
  83. Valores ergo ipsarum
  84. verte

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 34r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068022:0067?run=73