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Leibniz-Handschriften zur Mathematik LH 35, 11, 18B, fol. 107

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: 0.91.

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

The machine reads it as

  1. LMN
  2. autem vesocitabi-
  3. bus cres cunt actiones, quia cres-
  4. centibus velocitatibus es manente progressionis assumatur aliaseries progressionis,
  5. Longibu dine tempora decrescunt
  6. per prop Z. Cap de resocitate in
  7. motu aequidistributo e uniformi)
  8. decrescentibus temporibus ma-
  9. nente Longitudine cui impendun-
  10. tur crescunt actiones (peraxioma
  11. hic)
  12. Prop. b. Lemma
  13. Si duae sint progressiones Geome
  14. tricae simus crescentes; termini
  15. eadem aut
  16. unius erunt in muntiplicatatratio
  17. neberminorum respondentium
  18. alterius.
  19. geometricae progrossiones vel
  20. Pint Series A, B, C, D, C, F: 8 L, M,
  21. NBB, Aio esse A ad B in ratione-
  22. eadem vel
  23. mustipficata L. ad M vel contrat
  24. Nam interposando continue serien
  25. priorem omnes aliae quantitates
  26. homogenea vel abillis parroerrore differente se in eum cadent; itaque
  27. & in seriem priorem ABC cadet
  28. LMA
  29. series posterior , e quidem
  30. intervallis seu Logaribhmorum
  31. differentiis aequasibus quia ipsa.
  32. quoqu.
  33. Sed majoribus inbervalis;
  34. tum terminiposterioris sunt in musti
  35. plicata ratione derminorum prio
  36. ratio
  37. ris B quidem cinultipLicata est in
  38. ratione inbervassi maioris adminus
  39. seu intervalli seriei uniusad intervalum eriqu
  40. quod in una quaque serie est con-
  41. contru
  42. stans. termini prioris sunt in ratio,
  43. submuptiplicata terminorum posterioris.
  44. Dic si sint duae Leries simulen
  45. crescentes progressionis Geome-
  46. tricae 1. 4. 26. 64. 83 2. 16. 1218. 102
  47. tunc interpoLabapriore, ub ineam
  48. incidat posterior res ita stabit:
  49. di
  50. 64 128 256
  51. 513 1024.
  52. quoque progressionis Geome
  53. Fricce est. Jam si in serie geomedricae
  54. s
  55. 10.
  56. .10
  57. Peries comq.. +
  58. t
  59. Logarithm. . . . (0)
  60. Peries prioruum
  61. Logaritrm.... (0
  62. intervatha.
  63. Series
  64. posterior.
  65. Logarithm...
  66. interraata.
  67. aut subtanmpercata
  68. igeometolae
  69. eadem aut
  70. +Lad M in omultiplicata
  71. ratione A ad B (quocasu
  72. erit A ad B in submultiplicata
  73. Lad M
  74. indefinite

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18B, fol. 107. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068192:0107?run=74