Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 4, 17, fol. 5v

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

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. VCytIB yFg.
  2. Ergo generaliter
  3. V Oyt 5+3VT2 9t 713p 5916.
  4. Cr9) C8
  5. (+3) ()
  6. yra Ytat1y +2ay + a
  7. Ju V+ cayY a. est par. Ergo y +a 4 y4 a est par.
  8. + 1 +a
  9. +. +a
  10. yrada: est senarius. Ergoet termaius Ergo si y por est termarius. Euit a senarius
  11. +
  12. tas
  13. Producti A Numerorum aequidistantium; seu Arithmetico progressions
  14. G Theorema: Productus aequidistantium
  15. Numeri a edia
  16. s si nunori ordine dcontinua serie dspositi, deinceps ab unitate numerentur, secundus quisque
  17. erit binarius sive par, tertius quisque erit ternarus, quartus quisque erit quatemarius. idem est numer
  18. ordinis sive loci, quem quisque numerus tenet, numerus ubititum qui in eo continentur, sive numen
  19. propositus ipsemet; itaque tertius quisque est, tribus unitatibus aliquoties repertis conflatus est. et ita
  20. 2 Ex duobus numeris c unus necessario est par sive biratiusi ex tritus necessario unus est terualius; ex
  21. immediatis
  22. de caeteris.
  23. en quatecor numeris tinis unus est quaternarius et ita porro.
  24. rimed
  25. continuos
  26. Nam cum numeramus tertiums vel quartum quemque ex. nunquam tres vel quatuor Transsiliemus,
  27. adeoque semper in unum ex datis quibus liber tribus vel quataor continuis, et incidemus.
  28. 9. 1d. H. C. 13. 2. 15. 16, 17. 18, 19. 20. 21. 22. 23. 24. 25, 26. 27. 28. 29. 30.
  29. Figura notabilis,
  30. in qua nit
  31. phimorum et
  32. multiplorum
  33. arcuna e
  34. latent. Notabile
  35. puncta oblique
  36. cadere in lineas
  37. rectas. angulumue
  38. reclra ad horizon-
  39. tatem perpetuo
  40. variari arifnetica
  41. Sinuum progressione
  42. Restat tantum ut in
  43. perpendiculariblum
  44. linearum
  45. proprietates
  46. detegautur.
  47. 113
  48. in
  49. un y
  50. 3P. 1. M. . P., M. 1 P. 3M. 1. P. . M. 1P 3. . 1. 1M , P. 3 M. 1. P. 5M. 1P . M , P 5M 1 P. 3M + P M . D 3H. PZM +P +M 1D .M 1D 1M 1D 1M 1F FM 1 3M 1 D. M. 1t 5.
  51. Tres primi, unus multiplus; unus primus, unus multiplus. N
  52. 4 5 6 7 8 1. 1 13 14 17 18 19 20 23 2 29 30 31 32 37 58 4 42 43 44 47 28 51 5i 53 54 57 58 59 60 6)
  53. 10
  54. 18
  55. 2
  56. 6
  57. 34
  58. 20
  59. ZM .D 1M 1 P 1m 1P 5M 1P 3n 1D M .D 1M P ,B a in =D n
  60. 580 83 84 89 90 91 92 97 98
  61. 12
  62. Si
  63. 14
  64. 100
  65. 101 102 103 104 107 108 109 110 113 it
  66. 105
  67. u
  68. 3o
  69. 117
  70. 118

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 17, fol. 5v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068014:0010?run=73