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Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 105r

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: 0.78.

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

The machine reads it as

  1. ablega
  2. A 01d0(10+
  3. b
  4. O0ro11O1
  5. 911010
  6. in polumnu naturalium est 16 notarum
  7. em differentia arithmelicorum est, 5. Et periodus metumtiam
  8. aaadaaa ab bbbbbbba aaat bbb lbbbbaaaa a a a a bbbb bbbb
  9. 0
  10. 1
  11. 0 0
  12. C
  13. 0
  14. C
  15. NC
  16. C
  17. C
  18. 0
  19. natuma
  20. columna peria
  21. series B incipit a loco seriei A, ubi ho incidit in notam similem ei unde natura et ordine
  22. 0
  23. D
  24. etiam
  25. 1 0
  26. ejusdem seriei
  27. 0 0 1 1
  28. similem ei a qua incepit B. sic B incipita prima periodi, sed A incidit in primam periodi
  29. rieiC
  30. 0 0
  31. dar primum dividi potest per 31
  32. 16C = 2 primum dividi potest per 3, id est cum C = 2 sit enim 32-2d, : 3 = 10
  33. 8
  34. eu ge dividi primum potest per 3, id est num C = 3
  35. itaque nota post 10mam incipi in per odemincipit notam periodu B
  36. series C incipit a serie loco seriei A, 16C 1 dividitur per 3, ergo e = 1 et fit 16 - 1, : 3 = 5
  37. eost qua
  38. itaque nita poss quiatam in periodo A incipit periodum Cs vel prima notam in B (vel C,
  39. subtrahitur 2 quia it B, quia prima note t, est ida post primam
  40. A
  41. aagaaaaa bbbbbbbbata aaague gblbh Gbbb agaaaggatt Ht bbbb quaag qaa bbtbbult anagaaaa b. brbb
  42. prena
  43. prici. A
  44. vel 1)
  45. po B, 16C 4 :5, minda pro B, 16C -4, : 5 = 12, fit enim e = 4. Ergo a nota 18. pomadA, incipit deries B
  46. pro C, fit 16C 3, :5, minim. = 9, nam fit e - 3. Ergo a nota 10 seriei A, incipit series C
  47. mas
  48. pro D fit 162 -2,:5, minim. = 6 nam fit e =- 2. Ergo a notaata seriei A incipit series D
  49. da
  50. pro E fit 168 -1, :5 minim = 3 nam fit C=1 Ergo a notaata seriei A incipit series e
  51. qia semiperiodus ipsius B, semper est semiperiodus ipsius A inversa; et B praeferenda est
  52. cum sit bin ternariorum, quinarioram septenariorum etc. Hinc proctat regulam
  53. applicare ad B sed numeros sumendo inversos columnam inversam. o
  54. set quia percodus ipsius B semper est inversae ipsius A contraria; h et alioqui B praeferenda
  55. lem
  56. est ipsi A, quia _ B est binamoum ternariam iquirariora etc. Hinc regula eadem valebit
  57. ne aliis ut alias series derivenus ex ipsa B, si mmium eadem nota Ordine sumdur quae ante
  58. ad incipiendam novam periodum; sed nohe ita sumtae omnes in oppositas vertantur, quod si
  59. peota fiustra sumentur hic note plures quam seu in quinanis frustra addetur plus quam
  60. arlimus in oppositas vertere, babit haec memodus periorum inversam
  61. si
  62. mesm non est obus tota serde inventa uti
  63. ejus notas quot periodus postint
  64. postulat
  65. suffinunt het
  66. 16 notur
  67. B Ternarii

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 105r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068255:0209?run=74