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

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. Demonstratio quod columnae serierum
  2. exhibentium potestates ab Arithmeticis aut
  3. numeros ex his cenflatos, sint periodica
  4. Omnis series numeroriem rationalium
  5. qui sint arithmelicorum potestules
  6. ejuodem grudus, (exempli gratia series
  7. omnium Xe, posito de esse progressionis
  8. erithmeticae numeros) continuatis
  9. quantum opus differentiationibus dut
  10. differentiam condtuntem. Ultimu
  11. differentia naturalium est 1. quadrato
  12. tim ab ipsis, 2; cuborum, 6; quadra
  13. toquadratorum 24; surde colidorum
  14. 10 etc. id ect 1; 1.27 1. 2. 3, 1.2. 3. 4; 1. 2. 3. 4.5.
  15. simile aliquid fit, si Arithmetia non sint
  16. Naturates, sed alio quicunque, verbi gratia
  17. impares ordine positi, 1, 3, 5,7, eeo
  18. Idem est, si series exprimi possit per
  19. formulam analyticum integram ex po
  20. tectatibus conflatum, v. g. X3+6ZH, X+ 1
  21. dem est, etsi formula habeat nume
  22. ros in denominatore; modo termini sint
  23. Numeri integri. Nam multiplicata per
  24. n
  25. bc

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 20, fol. 7r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068017:0015?run=73