Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 7, 4, fol. 6r

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: 0.86.

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

The machine reads it as

  1. dx + du aequ dx. sit Ax aequ M X fiet
  2. Ex + du aequ n. seu 2dx 4dx +2 dy adue aeg. 0
  3. seu dx + du aego dx. seu dus aego dx - XdX
  4. seu dus aequ d Si -x
  5. Ax
  6. WL: TLC
  7. X
  8. B
  9. H
  10. X
  11. CB, X BL Si - X GWdx. CL, 1. TL. CE.
  12. Est aute 11 +ax peu Gpo Ergo HW aequ dus
  13. sit Guconstans erit FL ipsis HW proportionalis
  14. ergo quadratu tangentium axi applicatorum
  15. uit quaesita
  16. 2
  17. ax +dy aequ.
  18. 2
  19. 2
  20. DL2
  21. fiet: dus aequ dx, seu dyaego dx +Xt
  22. des
  23. Vdx + dus aequ cd. dx +du aequ co.
  24. 4 X
  25. du ago ca co- dx seu dus aequ sco dx
  26. Ieaque oblata formula q summanda quadretur
  27. smma
  28. 2
  29. quadratum fingatur differentia duorum quadratorum,
  30. quorum latera sint summabilia Et
  31. GCCs CC
  32. Videatur an saltem res semper quadratura
  33. rationalis ita tectari per curvam possit exhriberi
  34. sit ergo curva, cujus abscissa X. ordinata v. ejus
  35. exlensione in aectum habetur d co, sin
  36. uax +du Itaque summanda formula oblatam
  37. deberet esse talis, ut quadratum ejus possit.
  38. resolvi in duo quadratu laterum summabilium
  39. itaque sumantur duo latera summabilia generalia
  40. sen differentia generalis rationalis cujus quadratum addatur
  41. et alia adhinc, harum duarum quadrata in unum addantui
  42. et comparentur quadrato formulae datae. sed quia

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 4, fol. 6r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068076:0011?run=73