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Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 8v

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: 0.84.

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

The machine reads it as

  1. ortiones Paraboloidum
  2. ab sectae fruncatae
  3. sit paraboloides quaecunque
  4. NDM. quaeritur portionis
  5. truncatae normaliter abscissa
  6. ao DPG MD area
  7. sit ND aequ. n. PD aequ. d.
  8. N G aequ. X erit eM X
  9. seu ZM aequ. Xd.
  10. a
  11. P)
  12. ni
  13. jam NZMD Nq M N aego EX LI et NDdHaeg
  14. Ergo jam DPZ M D aequ Nq MA = N PDN
  15. Ergo DPGMD aego L ZX = L PL
  16. c
  17. X, Xd aequ X
  18. 313
  19. n3
  20. Ergo DDGMD aequ XId - p
  21. u
  22. 3 1
  23. dx -n’argo X+ Xn+ XNF N X - n d
  24. seu jam
  25. a
  26. et d, X - n aequ. L PL.
  27. D PGM portio truncata
  28. aequ.
  29. Ergo fiet.
  30. XtXn+XN +n
  31. 3 1
  32. LC PL
  33. seu portio truncata, est ad tertiam rectanguli
  34. et
  35. in scripti, ut omnia Quatuor rectangula solida
  36. geometricae grgrossonis quorum nt quaturr
  37. solida geometricae progressionis quorum extrema
  38. sunt cubi altitudinum totius et abscissae sunt
  39. ad cubum abscissae
  40. aliter: DPQMD aequ X - B
  41. dn aegu. NPo
  42. seu ad portionem
  43. na
  44. Seu figura truncala
  45. est ad tertiam
  46. rectanguli
  47. figurae cucum scripti (seu ad Dn)ut
  48. altitu
  49. ferentia quadrato quaumtorum
  50. dinna totispet abscissae ad quadrato qua
  51. abscissam
  52. C
  53. ceq
  54. et
  55. statum ab ultrodine totius
  56. scisse

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 8v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068073:0016?run=73