Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, 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: 0.81.

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. 42r); this page is its left half.

The machine reads it as

  1. Ergo a - 2 ab + 4 abe - d abed, etc. idem est
  2. est 1+) vel 11, aid est 1 vel 0, prout n, seu numeruis unitatum
  3. est impar vel par. Quod e patet ex eo, quod
  4. dque prodire debuit, quia addendo continue unitates + 1+
  5. et faciendo ), 11 seu 2 1+1+1 seu 3, 1+1+ 1 + 1 seu 4, et ita
  6. porrom ultimae motae sunt alternis 1 et 0. sed
  7. 100 4 sed quia a = 2 ab + 4 abc - gabed et est 1 vel 0, posito
  8. eu et a a, b, c, et. esse omnes esse unitates, erit etiam verum
  9. si aliqua ex ipsis sit o, tanc enim idem erit ac si totidem
  10. tanto assumt fucerint pauciores, quae omnes sient unitates.
  11. videamus quid sit
  12. si n = 1 siel = 4, 1- C1) =
  13. 3n)
  14. E n - 0 fiet
  15. 1- 1 -0
  16. quaerenda formula talis, ubi si n sit 0 et 1, fiat ejus valor 0,
  17. si n. = 2 fet 51 - 1
  18. sin n. sit 2 et 3 fiat ejus valor 1, et l; si 4 et 5, fiit valor 0,et 0
  19. 1= (.) . H
  20. Si n sit 0
  21. fret 11
  22. e
  23. Si n sit 2 di n sit 4
  24. b in
  25. -
  26. e
  27. 101

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 43v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068255:0086?run=74