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Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 90v

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: 0.90.

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The machine reads it as

  1. Exemplum quadraturae specialis ubi
  2. et de differentiali cycloidis, et de alia
  3. eaqu algelinicais culva cujus fignia aequalis figmae cycloidis
  4. Me ud
  5. schiruhrusius ut suam demonstrationem
  6. impossibilitalis quadraturae circuli et
  7. Hyperbolae tueretur contra objectio.
  8. nem meam asserit se posse demonstrare
  9. 1
  10. quod non detur quadratura specialis
  11. alicujus figurae linea algabraica terminata
  12. nisi detur et generalis per quadratricem
  13. algebraicam. Sed hoc praevideo falsum esse
  14. Nam exempli causa
  15. Ratio quia si series sit a. b. K. eit H Sutama
  16. aabc et summse semmarum
  17. a. a +b. 3a+2b+G unde y duet debet in hax
  18. at
  19. exemrplum afferam.
  20. sit cycloeides linea AB
  21. cujus ordinata EFB secans
  22. seni circulum gereratorem
  23. AFC in F et diametrum
  24. seuaxem cycloidis AG in E
  25. GHCi
  26. constat ductae AL, parullati
  27. iEB, et BL Eylvidis tangente
  28. et BH ad eam perpendicu-
  29. cari sore aequales
  30. et parallelas GF et HB
  31. item AF et BL, AG et LH
  32. ac denique AL et FB, quae aequalisarcin AF.
  33. cumque eu ipsam EB secet in M. erit MB equ. EF
  34. fachia jam producatur LB dum ipsi GC productae
  35. occurratn T. erit HY: EF: AG: AE seu
  36. producta AF usque ad GC cui occurrat in 5, erit G5aq.
  37. ipsi HT (est autem Gd secans dinidir
  38. as ata
  39. dimidia ipsia EF secans dicidii arcus GF dimidrati
  40. ent engo cuc loides aotem erit sigura quadratrx omnum
  41. sigearuadsente
  42. G5, sr tk, seu figura ejus differentialis, erit AE KA posito
  43. AFK aequari ipsi G5 vel HF. nam dx: aB :d LH: HY.
  44. porro si sit cuiulibe Trilinei gethogonii quadcandi altitudo X ut AE
  45. ord nata u ut EK runctorainata figurae agebrnica cujus spatium triliaeo
  46. quadratricis respondenti aequale est, (nempe AEPA aeq. AEBA)
  47. ordinata E8 erit aqu. y. n_ poscto h essi constantem AC
  48. in tota curva Ay manestemed cursatuaternurum pronno trilinee AEDA
  49. servit jam si AE sit eAG datur AEH. Ergo et AE _A. cumque
  50. sit inen ADebyaira datur obi quadratum particularis
  51. positoe
  52. essevet
  53. AE. seX

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 90v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0180?run=73