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Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 77r

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: 0.80.

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The machine reads it as

  1. mo.
  2. S
  3. L
  4. 3=
  5. et
  6. res
  7. ve
  8. as
  9. 3.
  10. bas
  11. per
  12. MM.
  13. ata
  14. Ho
  15. fi-
  16. dn
  17. A.
  18. M.
  19. 2.
  20. formali
  21. Sect. II. Cap. 1. De Actione Motus et effectu
  22. Jam si n serio geometricae progressionis assumatur alia
  23. sones progretsionis Geometricae; sed majoribus intervallis, tunc
  24. termini posterioris sunt in multiplicata ratione terminorum
  25. Mioris, et quidem ratio multiplicata ett in ratione intervalli
  26. A
  27. majoris ad minus, seu intervalli seriet unius ad intervallum
  28. alterius, quod n una quaque serue est constans; contra termi-
  29. . Sab
  30. et
  31. mprioris sunt in rationemultiplicata terminorum postem-
  32. oris.
  33. su si snt duae serres simul erescentes progretsiones glo-
  34. metricae: 1. 4. 16. 64; et. 2. 16, 128. 1024 tunc inter-
  35. polata priore, ut in eam mcdat posterior res ita stabit.
  36. Series communis:. I
  37. Logarithm.... (0) (1) (2).
  38. Serres prior.. 1
  39. Logarit hms. t6)
  40. intervalla....
  41. Series posteriori.
  42. Logaritum...
  43. intervalla:
  44. a
  45. + (21
  46. (2) s (2)
  47. 2
  48. +
  49. M
  50. 4) (4)
  51. A
  52. - (3)
  53. 6+ 126
  54. 16 512 to21
  55. (6) (7) (8) (9) (10)
  56. i(3).
  57. (3) +
  58. Et cum differentia logarithmorum seriei ABCD unt,
  59. ad differentias logarithmorum serici LMXP, ut 2 ad 3,
  60. Erunt termini seriei posterioris in ratione multiplicata ter-
  61. minorum prioris secundum Pationem 3 ad Z, sive numerum
  62. indium
  63. 83.
  64. a.
  65. 6
  66. (+)
  67. 2
  68. (6)
  69. 24

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 77r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068193:0155?run=74