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Leibniz-Handschriften zur Mathematik LH 35, 8, 5, fol. 3r

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: 0.82.

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. 4v); this page is its right half.

The machine reads it as

  1. Nempe posito t et v esse numeros
  2. constantes, rationales, integros, dico fore:
  3. 1B.1
  4. V. P+1
  5. 2
  6. t.
  7. Co2 H
  8. t. t+
  9. 1.2
  10. (pt2 (2. 2
  11. V.Br. BF2
  12. L.
  13. a +3 hil3
  14. t. tr1. t12
  15. 122
  16. p13 1
  17. Hinc si verb. gr. L et v esset 1 seu l = l vel l,
  18. retineretur solum terminus et jo
  19. alits occurreret.
  20. + ete. usque ab
  21. sequentibus omiss uper
  22. in quibus lfoccurrit, omissis. Quodsi tres
  23. vel plures sotes radicum aequalium concurrerent,
  24. a species
  25. nihilo minus patete
  26. omnia ad simplices terminos, s unius tantum literae indeterminatae
  27. literae, quae hoc loco si sunt simplicissime reduci
  28. posse. Esto enim patet produci ex
  29. h
  30. 4
  31. k(4
  32. per L. jam ssa resolvatur in membra fractiones
  33. simplices modo praescripto. Harum quaelibet ducatur
  34. M
  35. fractione
  36. in L habebuntur totidem mimbra, quae non nisi
  37. aequaliu
  38. binas habebunt species radicum; quas resolvi in sinis
  39. has autem resoloi posse in simplicis jam esse a est ostensum.
  40. Reduncuntur ego binae species ad unam, ternae ad binas,
  41. 9bo
  42. quaterna ad ternas; et il
  43. non est necesse. Unde cuncta esse in potestate apparet,
  44. quanquam ea quoque canonibus seu Theorematis complecti
  45. conveniens foret.
  46. Commissi sunt non pauci Errores typothetici
  47. in pra specimine Maji praecedentib. HOc Eos facile
  48. corrigent, qui horum fundamenta i inspiciunt: praestat
  49. tamen ut emendentur a nobis ipsis. Nempe
  50. pag. pg. 210. lin. 14. leg. dy = yx yXcX:, axt yy
  51. topro - ponendo =
  52. pag. 211. lin. 3 pro ) XX, leg. Y Xx
  53. lin. 12 leg. XX - q X + ab pro = ponendo -.
  54. lin. 22. leg. + dX: , suppleta lineola
  55. lmn
  56. lin. 23. leg. a. H, suppleta iterum lineola.
  57. Imn
  58. i
  59. V
  60. p
  61. +ute us

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 5, fol. 3r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068100:0005?run=73