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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 51r

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: 0.71.

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

The machine reads it as

  1. sit Logarithmicar
  2. erm
  3. A occure
  4. 65
  5. c
  6. d
  7. a
  8. s
  9. Hyperbolae primariae linea
  10. sit vinla Cupsts smnit dui
  11. set te
  12. es
  13. intet se hormae
  14. BCV. ju Asym potae AB, AII. vertent
  15. tirum Ai.
  16. quad ratum prim potentia AHVI)
  17. dpnnillmea tangent l
  18. all
  19. oudens Hkc eses l
  20. as
  21. n
  22. polica VC
  23. vapithaic quadratrix rigurae Hyperbolis
  24. icentrun Ai
  25. et c
  26. A
  27. artens illins tantient, 1
  28. e
  29. et u thuie
  30. hui
  31. intraita Asymptota AN, tanguas ink let
  32. recta
  33. senst
  34. . logarithmicam tangens in K
  35. A sit AH, a; et AB, X et BC, y, et BK,
  36. u X, logarithmus issius X, talis, ut
  37. ex sit = Zona VB
  38. V
  39. loco unitatis _e eNa jam Zdna = fex
  40. ugxis
  41. 1.
  42. xax:x posito X incipere ab a. Ergo simili sersu
  43. =a (dxiX. Et dl rdx = a :X. Ergo debet
  44. es
  45. AY = a = AH: Ex 1) agatur parallela ipsi
  46. C AB occurrens Logarithmicae intas et compleatur
  47. rectangulum A1IFC erit . A numerus prima
  48. pius que voletur A hujus logunthinus a erit unitas seu AH
  49. Et quia ipsis AI pstentibus propessionis AH seu lexistem
  50. tons progressionis authmeficae ipse Tk seu X sunt
  51. glometricae eut X = B uni se l20 erit X= I.
  52. et si l= l erit X = h. Ex his patet descripta Loganithmica
  53. jas
  54. utcunque per puncta, quod fit continua interpositione
  55. s
  56. medimum proportionalium, ope esse ejus langente ut
  57. st
  58. periatur Hy
  59. eut I
  60. perbola cujus est quadratuix. Nam seperta
  61. ordinatim applicata ad tioqe te inter loga–
  62. micam et Asquemplotoq erit AH et Ae AHeunt
  63. ae t completoque rectangulo AHV
  64. cic Acentrum Hyperbolae V, verlex AH
  65. potenta
  66. AT Asymptoti. unde Hyperbota facile descubi poterit
  67. o inventa A5) habetur numerus primarius AF, ipsu
  68. tanquam logarithm respondens
  69. milturct
  70. ex
  71. e
  72. edianus a pometricas desii-
  73. sa
  74. ilram minitina
  75. plo K, (1)) asumatur in
  76. se
  77. i Reguiantiam recta
  78. A
  79. s
  80. a
  81. 27
  82. S+
  83. a
  84. I
  85. s
  86. 5
  87. a
  88. F
  89. a
  90. e
  91. a
  92. s
  93. len
  94. asquplote

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 51r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0101?run=74