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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 273r

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: 0.77.

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. 274v); this page is its right half.

The machine reads it as

  1. pro reductione quadra
  2. s
  3. furarum ratifualum (eptembr. 1690
  4. pusgeneraliter invenim
  5. X. a+ ax
  6. huc enim postremo revuci possunt omnes
  7. ratinales quadrature. Habetur autem
  8. A
  9. e
  10. vel t: X ux
  11. Xla (X: Xta d
  12. quaretur
  13. fia porro
  14. d: +adx Ntam sit
  15. I: X dx et (X: Cea X+I dx
  16. sit jam C Proposita (XX: 1+ X ex.
  17. pat X+ 1 = y. et hab ebimus X = ya et fiet
  18. S fi dx = dy et XX = yy a 2y +1
  19. ergo. PXx dx = sydy - 25dy + sdy
  20. +x
  21. seu (XX ax = 2yy - 2y+. Sdy
  22. 1+X
  23. similis Methodus, procedit pro
  24. modo e, sit numerus rationalis
  25. 1
  26. uam
  27. de
  28. +7
  29. ex
  30. sed qui
  31. e sit fractus, veg verb. g1. moe e c.n
  32. faciamque m: ni faciamus XIin.
  33. Fiet X = Y et f
  34. Eogo
  35. Ergo to et
  36. habernus
  37. m
  38. M. n
  39. a
  40. u
  41. m
  42. y
  43. et
  44. dy. Qualium jam datur
  45. reductio. ex hypothesi
  46. Hinc jam artiticium nuper x me
  47. vipioredite
  48. pora enim

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 273r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0541?run=74