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Leibniz-Handschriften zur Mathematik LH 35, 3 A 22, fol. 4v

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: 0.89.

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. 6r); this page is its left half.

The machine reads it as

  1. Si vero initio radix affirmativa major minor
  2. negativa Manebit minor cum affirmativa per
  3. subtractionem augeatur minuatur negativa augeatur
  4. itaque si fuisset bb + lab aequ maa. e broy 3at C
  5. fieret.
  6. CC + (2) 2aC aequ. + maa
  7. +- l ac 22aa
  8. = lraa
  9. et tantum M p2, l+2
  10. oncludo ejus si sit quemadmodum si sit bbaequ. lab anaa
  11. b.b aequ. et b aequ. 2a +c. fieret
  12. CC + (2) a c aequ+ maa
  13. = l ac - 22 aa
  14. Unde (2) 2 p l.
  15. jam scribamus be
  16. fiet.
  17. + lraa
  18. et m aequ m + l2 p. 2E
  19. Jam scribamus b aequ 2a + a + d. et substituendo
  20. +bbaque 22 aa + (2) 2aa + (2) 2 a d + a a + (2) ad + dd
  21. lab aequ l2aa + laa + l ad
  22. maa aequ. maa
  23. Ergo si aequatio suit bb aequ lab + maa.
  24. omnia (cordinando siet:
  25. dd + (7ad + 22aa aequ. c
  26. + (2) 2ad + (2)2 a a
  27. l ad + aa
  28. eritque (9 + (2) 2 p l.
  29. e
  30. = l2aa
  31. = la a
  32. (2) = m aa
  33. seu 2
  34. (2)
  35. et 22 + (2)2 + 1 p l2 + _ + m
  36. supra autem
  37. 4)
  38. 2
  39. Nota si pa.
  40. erit lx
  41. lidetet esse tinatius.
  42. et m+ l2p22
  43. Ex his determinationibus numerus inveniri pae posse debet ae qualis
  44. ipsi 2.
  45. determinatio ucluditur in quarta.
  46. defermumus
  47. si pro 22 ex aequ. 5 subistituatur
  48. la mi determ. 3.
  49. fiet um (top ti (t 2)a a p (t E)C L+ (m)
  50. se
  51. et fiat 2t
  52. n+ l2
  53. 2 l. per et 4 et 5
  54. seu (4 in + (2) l2 p +2 ergo (9m +() pro quod patet.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 22, fol. 4v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068235:0008?run=74