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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 132v

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: 0.78.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 131r); this page is its left half.

The machine reads it as

  1. videndum an infiniti parabolae serviant surdae serviant ad circuli vel Hyperbolae
  2. sin taenis s
  3. ponatur ne
  4. Grultatrilis
  5. nn ergo pisto
  6. summae sutm
  7. . seu E1
  8. a- b
  9. sit Z1 A X Ergo Za - B7 a. et bp Za -a. Ergo bp, a - a
  10. sit a BCB -x. fet b pet d -x - c, d - x
  11. dtx dgx O Porro momentum
  12. 1
  13. rduro
  14. Va B erd. X ∞-c sdx
  15. et b ad X0 + 1 Y d- X +4d -x
  16. onstans eut B psile jus
  17. entus y
  18. Sd+x
  19. hat quadrari potest, pendet enim exirculi summa summarum, quia momentum
  20. V’exe est aequatio curvae factae exapplicatione arcuum ad tangentes
  21. 7 jum obetrianus ulc similia 4 G L ARG. unde AB in GLB GW in AC
  22. hujus ergo figuaae quadratura scendet ex quadatura Hyperbolae
  23. quae fiet arcubus ad langentes applicatis vel tanventibus arcui postea
  24. in rectum extenso insistentibus, a concidit quadraturae Hyperbolae, ergo
  25. ujus summa: sa B X-
  26. l
  27. ad Hy perbolico complenent
  28. antentm
  29. +yet ptet extips
  30. tiui B. ipsae. y y y3. ex soeletiam ipse 7
  31. caterium
  32. maximus ex ipsis e ent areuo ssi et ulta seu summu Y. psitaltinhati
  33. D, in F 8 distatatia, a vertice complent ete spatium
  34. nti
  35. complementale, rae autem s.c progressibiis Geometricae
  36. po et ipsa sumrum ipsarum (B.) e eae haberi potest
  37. idem in quolibet arcu
  38. spatius procurrer in nitim cum verla I. cene ommute atrori ca
  39. Summam:
  40. a - b
  41. e
  42. ejus pender ex circulo–
  43. dit sp
  44. 3 Jum. 19,76.
  45. . inde Z) a at a a + b + b 6 Quadratum Arilhmetica liculi et erp. nomnihit variata. ponemo 4 rego. u Bx b. ut pencamentum ani
  46. 1. 1.. aartalliua lum

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 132v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067993:0266?run=39