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Leibniz-Handschriften zur Mathematik LH 35, 8, 10, fol. 8r

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. A
  2. AF. TE: dx. dus
  3. dx: dy:: y: P.
  4. Bp p. GC, c.
  5. Ergo de P aequ dusus
  6. Spax aequ yy. si p. datur
  7. ex data X. Quod si P datur ex y.
  8. fiet X aequ. sdyy
  9. TE aqu:: dx :dg. EC: AB:: de: dx
  10. fiet ECaego de X et TC aequ. TE + EC.
  11. dx
  12. fiit: seu TC aequ d AT du + dc X
  13. 2
  14. cx
  15. dx
  16. jam AT + TC aeqo XXaGy. sis ATaeqo D. es+
  17. s
  18. fiet (61 +72 aequ xx +vy sunde differentialiler7
  19. tiet:
  20. Odb + Z lZ aequ, xdx + y dy
  21. e
  22. AFA AT: AE:: dx: A de seu A qu t=X AE dx
  23. MA: _E MB. seu + -X : X :: AE: BC, y.
  24. at
  25. Ergo AEaequ. +y -xy. Ergo AIago ty -xy dx
  26. X de
  27. est autem + aequ. y du. Ergo AT seu Daequ. 3y x- y dx
  28. dy
  29. Xayde de
  30. jam data curvo quadratura datur (dc. et eadem data
  31. datur
  32. yy
  33. ydx Ergo data curvae quadratura datur
  34. Ax
  35. dy
  36. quam recationem in curva
  37. praesenti habesent AT. TC. AC. eam in
  38. aCB. Bp. PC
  39. trochoide ejus habent
  40. A T ductae in GC, seu e in dc sunt in trochoide
  41. ipsae y ductae in ax + dp. genemtricem
  42. Data curva invenire, ejus dividem, ef
  43. nochoide
  44. educitur ad hoc problema, data curra invenore
  45. elemento caroqdi
  46. dala Tirchorde curva dantur enus AP. ergo et
  47. differentiae ipsarum. sunt autem ipsae eadem
  48. rochoidis
  49. cum ipsis Gc forchuidis, seu cum schrvae gerratiiais
  50. genratio
  51. escil vala sed non contra
  52. Elementis. Eut contin
  53. ircubit exdata generati methodo inveniendi genera
  54. e
  55. dato
  56. hicem, non habetur
  57. mothodus videndum an habeatu
  58. 1. +
  59. +Ea

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 10, fol. 8r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068105:0015?run=73