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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 107v

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: 0.79.

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. 108r); this page is its left half.

The machine reads it as

  1. si ponamus XB SB +Y + s Y + 4 + 1B ex - l2 + 4
  2. fier x Y 4 4 X, et X + q X H r. et X + 29 X + qX - r
  3. sit data aequalio X y -12Y - 12 7. fac y e 7 4- 10. fier: Z 43oZ +200Z +- 1000
  4. 25 sed tunc aequatio data ad eam formam revocanda est
  5. ut ocune, termini proter altimum
  6. sit, an equatio data qualibet. sint affinuatibi, quod generaliter
  7. y
  8. difficile est.
  9. = 12 Z +120
  10. 73 - 30Z 100Z. ogr
  11. Crbicom
  12. Melior ergo est ratio prior. Si sumamus tantum aequationem quadraticam
  13. NA- bq X + = Y + 9 o. cujus utique habemus constractionem,
  14. sit data N X - qu X
  15. + a h r.
  16. reditur ad eande determi nationem nec alio opus ealenlo
  17. Rectius: sumta aequatione X Y. 24 X +4 X - _ r
  18. tollatur trminus secundus, ponendo X e Z. + 24 fiet:
  19. (+319
  20. 22) 130297 et q
  21. 14 27
  22. - 243 39
  23. +q..
  24. -39, 491
  25. 12q
  26. 1012
  27. P92
  28. B. eit debet esse a h p 46P13 et quod si
  29. verum est, mutata determinatio est, hoc enim semper fieri potest
  30. en 6m a 15 m nt 15 m n 16
  31. n + b mn + 15 n + 20 m3n2 + 15 n n
  32. m 6 men + 15 n +2omn + 15 m nt +bmu + n6
  33. e
  34. +15 mn + Cit
  35. erit
  36. in
  37. 57 9. 1t 90
  38. H
  39. M+n., Z P
  40. ns
  41. 6mt 9 mt + 15m n + 20
  42. 110
  43. eur scipsi pote
  44. 7 6mn 4 mY + 16 mn + Q n. vel
  45. s neque
  46. sire
  47. 6mn X-gnen X
  48. maner a quantitas sit jam equatio. X
  49. vel generaliter: X B ida X+
  50. Apa..
  51. -+aq X
  52. 3 d’a X=
  53. -2pd a
  54. aq
  55. Quae aequatio D. conferenda est cum aequatione
  56. +
  57. + aY
  58. + 4343
  59. 2
  60. 0
  61. quod ut fiac tantum opus
  62. est ut sexta pars termini secundi quadrata, aequetur nona termini tertii
  63. 3da + (, sive Dd + 6dp +P 3d + 2pd + at q
  64. 5) 4
  65. sive. 3d2 + 2pd + 4aq = p sive d +2p d + +p 10 p - aq
  66. Alterutrum ergo necessarium, est, vel ut sem tertius terminus aequationis cubicae propositae
  67. ecima octavt
  68. completae sit regatious, vel ut quana sais te quadrati a secundo sit major quinta
  69. () m n 299, n rn + 16es mn
  70. 162
  71. multiplicata una
  72. 66 comprehensionis
  73. parte, et divisa altera
  74. Nota character
  75. Sive distinctus ab
  76. aequatione, quando
  77. scilicet aequatio iden
  78. tica est.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 107v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0214?run=74