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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 146r

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: 0.75.

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

The machine reads it as

  1. curva Hyurbitae per progressionem infinitam
  2. 4 Meii 677
  3. De curva Hyperbolae aequilaterae. Ejus ordinata ad asymploton sit.
  4. e
  5. abscissa X. efrolentia a. erit yp et du p a dx
  6. an
  7. aa 8 dy 1 at dx
  8. seu
  9. s
  10. 452
  11. dx + a
  12. Vat+ X
  13. dx
  14. a
  15. y2
  16. .. Elementi ecurvae quadratum, dx +d dy
  17. L
  18. evidentur pleroque series oblatae reduci posse ad
  19. finitas figuras si modo incognitae simul in aequationem
  20. ingrediantur Adhibenda hic series Neuloniana generalis pro
  21. omnibus radicibus, ibique explicandae lterae variis modis sed Xtvariae in se
  22. invicem ducendae quantitates, et deinde extrahendae vidices. Non opus
  23. Cogitandum quomodo commode tactari possint totae series reperta progressio
  24. nis ratione, ut aliu sit in qua eadem prodeat aequationis ratio, prorsu
  25. ut in locis curraturus.
  26. 1
  27. X
  28. 1
  29. A
  30. posito g. co. . x a. ba esse constantes et Z+1 esse quantitatem
  31. co
  32. areas
  33. ex series prodibit
  34. scinita
  35. integram affirmativam, erit curva geometrice quadrabilis, ut in novissima
  36. sua Epistota anno savit Nentonue. Quid si 7 et co essent quantitates
  37. indefinitae a in quibus scilicet involveretur X. et anon Z+
  38. fieres
  39. rco-co finita anbutas quantitas constans integra affirmativa, an B dinc curva
  40. S+Y
  41. 20
  42. a
  43. nAbX
  44. eris quadrabilis. ita est nam termini f posito Z
  45. fier contnuo inter extr series cujus termini erunt
  46. Y- 1
  47. s 1a
  48. A B
  49. Y- L
  50. s- 2
  51. e C
  52. Y - 3
  53. S.
  54. 17
  55. s-
  56. C
  57. .
  58. e
  59. cs
  60. de. ducta in 2a
  61. posito Q.
  62. sbi patet Uno exteminis evanescente, sequentes
  63. bX
  64. eas
  65. cot a + bx
  66. C
  67. P) Y.
  68. 8+
  69. omnes exprescere quia unus quisque ducitur in sequentes omnes, itaque ets
  70. ulcuno involverentur indeterminata tamen si modo r sit constans et extamim
  71. possit tepminabitur serres, unde mirabilis ratio quadrandi curvas ranscendentes
  72. vicissim quaerenda methodus oblinendi semperteries terminabiles ets
  73. termini ingredientes sint transcendente hoc enim ad larum rerum perfectionem
  74. restare videtror
  75. y.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 146r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0293?run=74