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Leibniz-Handschriften zur Mathematik LH 35, 6, 26, fol. 13r

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: 0.86.

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. 10v); this page is its right half.

The machine reads it as

  1. sequentes
  2. Hinc jam prodeunt valores arbitrariarum
  3. asumterum, 30, 31, 32, et C
  4. e
  5. SdC
  6. 4
  7. 39
  8. B
  9. 284
  10. 3
  11. 35 = f1: 94
  12. 34 = -83:94.84
  13. B
  14. 33 = - 82. 72 + 83. 73, : 94. 84. 34
  15. 32 = -84, (461 183. 74. 62 + 84. 1263): 94. 8+. 74. 64
  16. 31 = - 84. 7467. 50
  17. =B. 73
  18. Hinc jam proveunt va iolesesbitrariarum
  19. sequentes qQuantitatum
  20. Hinc jum prodeunt valores Carbitrariarum
  21. assumtarum Tabula sequenti 7
  22. 35 = + 1. 194
  23. 34= - 83: 194 184.
  24. Tabula
  25. 33 = - 184172483 173. 194. 84. 174
  26. 32 = 184174161 + 8317 4, 82 + 84. 1)2163192181174.64
  27. 1e3. 1)3
  28. 31 = - 18417464. 58. +83 174 16 4. 51 + 1 +. 12 16452 +184174161 153].19418417464. 154
  29. 183.173. -183.14. 162..
  30. 1343)2. 163..
  31. 4183173 ...
  32. 30 = -84141(4154. 41. +183,74169154 190 +184. 12. 164 15 4 141 H84 1, 4 1b2Squ C +89174 b4150.13
  33. hic terminus eva-
  34. nescit, quia nota
  35. dextra quae sit
  36. seu -1 non
  37. datur
  38. -183]73 ..... . . . -183174.162...
  39. ao
  40. Ubi in specto processu calculi ipsisque valoribus prodit
  41. Regula talis valores continuandi quantuscunque sit
  42. Numerus quhujusmodi quaesitarum. Denominatores
  43. quidem manifesti sunt, velut 94, 84, 74 etc. quorum nota
  44. ex 194, 194184, 194184 174, et c. ubi numerorum.
  45. dato nota dextra est eadem nempe X (hoc loco 4)
  46. notae vero sinistrae sunt V+C, 1a - 1, V+ a -2, etc
  47. (hoc loco 5+ 4, 5+4-1, 5+4 - 2, ete) Quoad
  48. Numeratores omnium Valorum, iumprimo valore, nempe
  49. 2 ipsius 3V (veu 135 hoc loco) is Numerator est unitas
  50. de caetero ex praecedentis valoris Numeratore si eruitur
  51. genta regul via brevi et generati umerator valoris,
  52. Sequentis. Sit prior 3H, (veluti 32) ines quovis membro
  53. numerus cujus nota sinistra finistra est inter caeteras minima
  54. quae vocetur A (et est semper a + K) minuatur unitate
  55. et tantundem minuatur ipsi adhaereas nota dextra (ita
  56. in valore ipsias 3L ex 61, 62, 63, 4 valore ipsias 3t fiet pro valore ipsius 31 valore fiet
  57. 50, 51, 52.) Et quod provenit multiplicetur per numerum
  58. cujus nota sinistra sit a, dextra vero a, (hoc loco per 64) de inde
  59. et a producto pro auferatur aliud productum ex
  60. eodem valoris ipsius 3)E numeratore toto qualis est
  61. qualiserat, multiplicata per Numerum cujus nota
  62. sinistra sit h- 1, nota vero dextra 1 (hoc loco per
  63. ita prodit Numerator novus pro valore ipsius numeri 3K
  64. Choc hoc loco 31). Quodsi contingat notam dextram debere
  65. ascendere infra 0, ad -, seu nembrum quod prodire alias deberet,
  66. evanescere ascripsi tamen in valore ipsius 32 30, harmoniae sequandae
  67. caule, nam mi reguta ex tsqa hembrtus printur o toris psis 3
  68. assumtarum
  69. 23. 17416915) in
  70. 184. 172.164152
  71. 183. 173......
  72. -84. 141b1163..
  73. +18. 174 162....
  74. +18F.2163...
  75. (83 173...
  76. .194. 8717464154. 44
  77. +83. 173. Ar
  78. Comisso c initialibus semper
  79. occurrentibus)
  80. Sprio Nunierus 3K (velut 32)
  81. ulor ipsius numeri a et in quovis
  82. membro numeratorem quem habet
  83. lor ipsius ingrediente

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 26, fol. 13r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068071:0025?run=73