Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 4, 20, fol. 7v

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: 0.95.

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

The machine reads it as

  1. Denominatorem communem dabit
  2. seriem arithmeticorum. Ergo et non
  3. multiplicata, id enim aequalitatem
  4. differentiae non mutat. Exempli grutia
  5. Numeri XXIXx sunt semper integri, itaque
  6. horum series aliquam differentiam (hoc
  7. loco secundam) habet constantem, primae
  8. us
  9. vero diferentiae sunt progressionis anth–
  10. meticae.
  11. Hino etiam omnes series figura,
  12. torum continuatis differentiationibus
  13. dabunt seriem Arithmeticorum.
  14. Et generaliter omnis series toumen
  15. nem integrorum qua analytice expressu
  16. per formulam, incognita non cadit nec
  17. in denominatorem (ut fit in progressio
  18. ne harmonica) nec in Exponentem, (ut
  19. quantum
  20. in Geometrica) continuatis feopur disse
  21. rentiationibus, dat seriem oithmetico-
  22. rum, vel quod idem est nit vice versa
  23. omnis hujusmodi sepies,
  24. sif

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 20, fol. 7v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068017:0016?run=73