Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 38r

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: 0.81.

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. 37v); this page is its right half.

The machine reads it as

  1. imo ad huc brevius quia
  2. c. quadrant in CY
  3. arc. _1β
  4. an. quadrant.
  5. o
  6. arc. quadrant. in rabate als
  7. Ergo
  8. rad. in. arc. quadrant.
  9. Ca laequ.
  10. rad in rad.
  11. seu aequ. arc. 21(
  12. rad.
  13. 1
  14. adeoque brevissima constructio tangentis adq
  15. s
  16. rac
  17. erit ttalis. Ex Centro C educatur tuorimalis ad radiumes
  18. spiralem in puncto V dato secantem, qui sit ad parteru
  19. (. quaotantu ad
  20. eeeeeee v
  21. ipsi parti redri a centis ad cspirateui eductae proportion
  22. q
  23. es
  24. arc. 21β
  25. alem siorimedeam
  26. ad partes
  27. radii a centio usque ad punctum intersectionis ut arcus
  28. respondens ad radiugr
  29. posita tangente
  30. jam arcus est L-
  31. arcus aequ
  32. +
  33. t
  34. . 1- C + 1 - t
  35. at
  36. erit
  37. autum 1-E + +- f etc. aequ ut patet.
  38. 1+
  39. 12
  40. Ergo erit arcus aequ) at posito n semper Radio
  41. unitate
  42. +42
  43. suo tangentit idem arcus aequalis est hic
  44. a
  45. 1++
  46. C
  47. s
  48. 1
  49. nempe
  50. complemensi ex demonstitatis
  51. Hhabemus ergo,at aequ.
  52. e
  53. + seu per calculum
  54. nostrum differentialem habemus:t aequ d
  55. Esse autem
  56. est LL
  57. aequ. ai
  58. 1+ f2
  59. ++ d seu at d = aequ. + + at - +
  60. L. - L
  61. +
  62. e
  63. habemus ergo
  64. +2 + + dt
  65. 1 d aequ. - 4E
  66. +t2
  67. 2
  68. seu
  69. seu a destructis tandem quantitatibus exsaordinariis
  70. habemus
  71. e
  72. e 1+ t aequ 12
  73. en e + aequ 1
  74. trovis tubdo, oritur aequatio impossibilis.
  75. 52
  76. Cd est circulo dato in scribatur quadratum
  77. et huic alius circulus cujus radius assumatur pro tanges
  78. l
  79. arcus cujusdam circuli prioris ei respondens
  80. arcus erit aequalis rectae, nempe see tangenti com
  81. plement sui nempe scilicet s
  82. sid est
  83. arcus ille aequabitur radio circuli circumscript

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 38r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068073:0075?run=73