Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 205r

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: 0.83.

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. 206v); this page is its right half.

The machine reads it as

  1. 1
  2. 2
  3. 20 43
  4. 27 108
  5. 26 194
  6. 12 48 192
  7. 4 16 64 256
  8. differentiae primitivae progressionis Geometriae sunt
  9. termini progressionis Geometricae unitate minoris
  10. Et ideo differentiae progissionis duplae sunt radicesles
  11. progressionis triplae sunt quadralae, progressionis quadru–
  12. plae sunt cuibicae, quintuplae sunt padrato quadralae .
  13. d quid si propessionis rao sit factio, ut 3
  14. eodem modo diffia primitior
  15. erunt terminis progressionis ejus
  16. Tadis quae est data demta unitate.
  17. Et ideo io casu sunt termini decresce
  18. tes. Et ita iterm sunt eorum
  19. primitivae diffrax primitivarum terminis
  20. 9 Z7
  21. En
  22. 27
  23. Hinc mirabile in progressionibus fractionumdecrescentibus
  24. fractio et a progressio fractionis datae, et defferentiae ejus
  25. ab nitale sunt sibi mutuo generatrices
  26. im = 4- G-
  27. in vi grali in numeros, inqui sitioe
  28. M. numdius vis yn siderandus ut rao
  29. E = ax - ib .. , -
  30. = im - IX B =
  31. um
  32. 6 = 2 4 f 4 4 - 1o- non -
  33. atie ib
  34. buq
  35. bkq
  36. 0
  37. ete.
  38. = = Ergo alip - ibp = bk4
  39. imp - IXP = L Ego 4 imp - 4 lup = Km 4
  40. Xmq
  41. lox - nomp = L Ergo, glop - gump. = moq. NunA. 1. 4. p. = x a 2. 3
  42. mog
  43. .4. 9.
  44. olex onm- no q. hgo otema-
  45. differentea gpon
  46. a
  47. progressionis unitate minoix, t
  48. Seu fractu
  49. potest cuiu
  50. esse, et intege
  51. quoque fractio e
  52. t
  53. substriper
  54. Mesh

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 205r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 44). https://leibnizlegible.com/page/00067993:0411?run=44