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Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 57r

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: 0.81.

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

The machine reads it as

  1. s
  2. ax nat
  3. 9
  4. An ex natura differentiarum constantium in Arithmeticis
  5. replicatis et seuen Columnarum dyadicarum inveniri possitt
  6. Columnarum
  7. 12 3 4 5 6 78 9, 10 ete Hic lex nota est, et simplicissima
  8. videndum.
  9. sit alia serres progressiones iae uprimae differentiae constantes
  10. ete
  11. h+a n+ 2a h+3a hiqu htsa ec. Fiet ergo ex Termino seriei N
  12. en
  13. fiet terminus respondens seriei Nte si fiat gna + h = n
  14. jam summe Naturalium quaerantur et seu trrangulares, et smiliter
  15. 6C 3 6 10 15, 21 28 36 45 55. pyramidales, et videatur quonam
  16. a +1 - b = 0
  17. vela -120
  18. unde a+a =abua- 1+ b
  19. seu a + b = ab =0
  20. de+ Offeantis
  21. ld duc
  22. vil2
  23. 3 4
  24. 8
  25. sit lex columnarum. Undel
  26. e
  27. Note
  28. einde omne
  29. o
  30. alrae progress
  31. 0110011 010d 1. 1b ∞) od V oa summes colmmnes
  32. 10 10101010
  33. 0 1 11 1000101 1 1 1000 datmr hic
  34. progressus
  35. 10 1 111111 10000000
  36. dc b ad c b a d c b
  37. 21.D
  38. o
  39. vel 2 a
  40. ob b- a = 1 est a=0 b =1 c=1
  41. e
  42. 408710 ex
  43. a+b ab = aseu a et b ob bua + fit a + b ab =0 sed absemper 0
  44. si b - a = 1 vel 2 - a = q e B erunt b et a inaequales et fit b a = 1
  45. sed si C- b =0 erit c= b a =d b = 1- a C = A - a d = a
  46. Alibi nifallor
  47. sitione dipertitom
  48. Rursus ex lege dupbisectionis columnae est, C= a- 1, ut jam, sed _ d ab. 1. Ergo b- 1 = a
  49. seu b- a+1 seu supra b = a 1 sed C = 1 - a quod jam habemus, et d = 1 - b,
  50. ergo 1- b = a. Ut supra. Notendum quod bisectio nil dat nov
  51. Caeterum a invenimus facile ex primo termino.
  52. esset
  53. ,m, n, p, 4, 75, t
  54. essetque
  55. 11001100110011001100
  56. 401000100105 00lD1 00
  57. i 1 1 1000l0r1 11000
  58. 11 11 10000000
  59. 1111 11 11 1 10 00000001000 00d
  60. 10 01+f.1 100
  61. 000011 I O1141000
  62. s si
  63. enti
  64. demonstratio
  65. cla de oppo
  66. puncta significant
  67. ex secunda zla quadde
  68. maecedentis trans
  69. Fraustata in puimum
  70. idam estiam et hurus
  71. Et suppleas punctis
  72. d11t1111000000011

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 57r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068255:0113?run=74