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Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 123r

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: 0.83.

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

The machine reads it as

  1. quoq quoyqe
  2. imitiles ne douvent pas estre moins
  3. estimées par cequ’elles sont des aaccest des exeples de l’ait d’inventerj donnent quelque
  4. les inventions
  5. belle et ingeniense,
  6. heplematu
  7. Ouadraturae peooreminai tetragonstita
  8. nonnelle veule pour pousser plus’avant cet art. a
  9. gocto
  10. er
  11. teneratia ex tatigentibus
  12. A centrum Hyperbolae AC. abscissae ex Asymploto CBordinata
  13. BD langens occunens alteri Asyriptolo in D. AD sit BCE recta
  14. ita ut CE HAD. idque ubixis factum intelligatur. Curva FGH
  15. transire intelligetur, per illa puncta quae etro, cui etio
  16. DA et AC protuctor Asimmplosiciunt) Sputium e respondens
  17. Eit exempli gratia spatium mixhilineum ECLGE, aequale
  18. trilined AABH BAHB. ut exatibi Creoremate meo generali
  19. gstat. Jam quaeramus calculo AD vel CE. ducta DBM, erio AC M
  20. aa
  21. AD,2CB. sit ACGX. erit CB+ = et EC
  22. X
  23. Hinc demonstratuur illud sant pulcherrimum quod sector Hyperbolicus ABH, equetur duplicatus
  24. aequetur ipsi ECLGE, id est duplo BAHB, id est quod sector Hyperbolicus aequetur portioni respon
  25. denti adi ymptoloque. Ducatur Axis APg. vertex g. axis transversus ARS. sit DR.
  26. adem nonnalis, ob angulum RAD semirectom erit AB
  27. AR HRB
  28. A.
  29. 1 S7
  30. qurbolae
  31. 2a
  32. X
  33. PL
  34. 4a
  35. 2
  36. AM 2X
  37. AR + ROV
  38. et RD AR, et AR +412 Eode modo ST, plrgendicularis
  39. AD + DT. ergo SY (2a + DT. jam 5+
  40. ∞ ad a. ergo 5+
  41. et
  42. quadrilinem
  43. dupla AC F sive AC CM. ex natura Hyperbolia aquilaterae
  44. ergo
  45. 2
  46. et Asp n
  47. a
  48. ad A
  49. )
  50. se 24X+2 quae etiam pendet.
  51. AI.
  52. 24)
  53. X2 - qu
  54. X -AX
  55. ideo ex quadratum
  56. quod tamen et atunde demonstrai potest, quia si addatur, Hyperbola commensurabilis,
  57. st 2atira, fier 2ax 12 + 2a Si
  58. no video erorem merm, non X seu
  59. Y
  60. ADH 2a H = seu in duplicata ratione
  61. a
  62. DTH 2a + DT. Ergo _ X3DT - a XDT (, 2at. et DTp
  63. 2atX.
  64. +ais
  65. 2
  66. quae
  67. et dicidendo per Xta, fier; 2ac, ad Hyperbolam
  68. sede AC. sed Ay. sumenda est
  69. X a
  70. o a. pu pd11)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 123r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0247?run=73