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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 243v

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: 0.80.

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

The machine reads it as

  1. ce differentiae ergo:
  2. =TI. = X. Herum ergo
  3. +a = X
  4. t
  5. a
  6. a
  7. siumma circulo sgntomos.
  8. Jam: 2 + 2 + L + L et
  9. et 1 + 2 + 3 + 4 etC,
  10. summae semper X. Habemus
  11. ergo curvam parabolicam simubus
  12. circuli sgutomem ab eadetm
  13. etiam Hyperbolae syntornos
  14. hinc rusus nova videtur method
  15. oriri circa circuli et Hyperbolae
  16. Comparadem
  17. Ergo sutuma est
  18. resa
  19. AX F X jam 4
  20. la
  21. vel2aX - X= 2ya, fiet 2ax X- a
  22. Xa = Srya a, seu Z= ina
  23. vertes
  24. posse varias figuras syntomos,
  25. ut modo haraloolicam curvas
  26. modo Hyperbolidam Hyperbotae
  27. se syntomon gro Circulo
  28. C
  29. 2AX - X - =LL
  30. e
  31. ut habeamus curvam cujus Elementa
  32. crescant ut sinus circuli frimum
  33. ipea curvae Elementu descent
  34. sic:
  35. 2ax -+
  36. qu
  37. e
  38. ad
  39. quadrato 2aX- X subtrahatur quaa
  40. a fiet residui radir:
  41. tum unitatis:
  42. 2aX - X
  43. 2
  44. a
  45. est series differentiarum
  46. V
  47. figurae quae circulosentomu
  48. .aa
  49. inveniendi
  50. fo
  51. I
  52. Sax+X (-
  53. a
  54. ax +X-
  55. a
  56. 2
  57. hnc habetur modu
  58. pro curvam quae eadem cum Hypertota
  59. = X
  60. a
  61. +
  62. a
  63. fiet Xax+x
  64. 2
  65. 2
  66. Jem sygmae tujus
  67. pax +X a, summa simin potest, ergo summarum istarum series dabt figura
  68. abtraratur ab ea H
  69. cuius curva Hyperbo laegutomos. fatumodi
  70. ata; ax nge
  71. posto
  72. atra suo
  73. O
  74. vaetati curvam Circu circuli simubus sinta
  75. fiat autem aX+ X = a = V. Ergo y = a
  76. c
  77. vel 2a a + a +y = ax tx +ae. Ergolia Fy = a+X
  78. s
  79. qc
  80. hoc modo sibi syntomo
  81. sa + y = X. Ecce ipsam Hyperbole
  82. it unc prole nolandis hic per ex ignas muta trmenlas fierro
  83. quadretur, fiet
  84. reserquatur fret

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 243v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0488?run=74