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Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 43v

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: 0.85.

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. 44r); this page is its left half.

The machine reads it as

  1. a. ab.
  2. a
  3. X’aqu. a + 2ab
  4. abc
  5. Xaequi aX + 2 al X
  6. aeb aequ. ab a -3abc. vel a b aequ. a b - a
  7. ab X
  8. ab (a b aequ. ab X = 3 abe vel ab aequ. a x = a
  9. quod et sic potuissemus invenire: aae, ax seu a a aequ a + ab. hive a b aequ ax- a
  10. habe
  11. ab aequ. ad tabr-
  12. abapintim) et ab X seu a ab, aequ. a b + 3adc. sive a b aequi ab X - 3 abc et a x. ad 7 alx. 3abe
  13. Pergamus eadem via: aex seu a a’ aequ. a + ab. seu ab aqu. a4 - a
  14. et abcX seu a bex a bc + a abcd. Ergo abc aequ. abc X - 4 ab cd. et x
  15. set (a bX, seu) ab X - 3 abcX d seu aX - a X, aequ aeb + a b+ a be
  16. 5)
  17. Ergo ab aeqo abX - 4abe X - a b + 4 abcd
  18. vel.. aequ aN - a X - abcX = a l + 4 ab cd
  19. Ellobimd abc equ abX - a X - 3abex + a- ab
  20. vel .. aequ a X - 2aX + + a- si su
  21. aX- a abcX - Labed
  22. aequ ax - a
  23. aequ abcx- 2abi d
  24. Denique supra habuimus aequationem: a X- a equ ab X - 3 abc
  25. fiet a X - ab X aequ a X = 3 abe X
  26. (10)
  27. a4 at - abc - deabed
  28. a Sgubitetnau
  29. Ergo a b aequ a x = ab X + 3 ab X - a
  30. (11)
  31. sl 3bc agu - a X + ab X 4 a X + 12 abcd
  32. ex aequ. 4. 6. 7. 10
  33. ita habemus, quatuor valores ipsius, a b. et totidem apsius abc. x aegu 5. 8. 9. 11
  34. atque ita tandelus rem altius ad quintum scilicet gradum stromovere
  35. licebit.
  36. ab aequ. a X - a
  37. 12 4,1 -a
  38. ab aequ. a X - ab X + 3a bcX- a
  39. 1 +4, 16 - 6, 16 13, 4, 4 - 4
  40. 14 296 +48
  41. ab aequ. a N - aX - abc X - 2a b + 4 abid
  42. 64 - 16 - 16 - 12 + 4
  43. 100
  44. iaqu
  45. al apo
  46. abaequ. X
  47. s

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 43v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068217:0088?run=74