Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 16r

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: 0.77.

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

The machine reads it as

  1. a = F - +3 + f5-
  2. e
  3. +
  4. ec
  5. ponatur a = 1. fet eqatio
  6. fiet aequotio -1 + + + = F X +t X t + + + ec =0 quaeritur F
  7. Assumatur -1 + bt + ct t + e +2+ 5 + 4 G (F+ hH 43 =0 eaque aequatio multi plice
  8. finitat
  9. 1t + nt nt +p +t 1Gt + Yt et C insinita 0.
  10. sia .-1 +bt + et2+ Ct pE+ t
  11. t btM
  12. Haec multiplicetur per infinitam
  13. fiet
  14. eH+Z. Assumaturr -1 + nt + 12F + 13 ++14t =0
  15. et
  16. qua sit aquatio finita quaesita
  17. rempe per 1+21f+22 +2+23t + 24 f4
  18. =1+ IFK2t + 13+3 12t 45t +16t = 17f418td, 19F R
  19. =21F 1rt 12. nt a 13. 2F41g2t 115. 2F, 1b. 4F +. 21F +1 2f ec
  20. =22 + 1._F1UFVFAI_sHt. ut eC
  21. a∞23+11. 23 n. 23 1323 4.23 15. 23 1623 en
  22. (6
  23. ∞)
  24. comparanda est aeq. 6 cum aeq. 1. Quod per gradus distinctos faciendum est et quidem si sit
  25. aequatia a tantum a et - 1+ 1F reliquis positis 0, abscindentur omnia usque ad primum
  26. lineam serici trans versae, et fiet 11 = 1+21 = 22:21 = = + 23,:21 = 24:23 Vemium
  27. quia hinc nihil. Comparatio ist etiam nunc instituenda est quasi per gradus, et fiet
  28. Et et quidem si assargere volumus solum usque ad t, fiet 22~0. Ergo et 12 =0 ob t e est
  29. autem I aliud a 0 ergus 21- 0 ergo et ( fieret 1 = + si non oscenderetur uetra t
  30. 50.
  31. Sei si asfurgatur ad 13 in vg. 6 (posito semper in aeq. 4 tantum ascento ad t) fiet: abesse debet 2
  32. ua quo si p aeg. 5. alsit usque ad 21 milus
  33. ssumestorbit H 1. Si adsit 2 siit
  34. fiet 21 21. 11 =0 RV. Ergo vel YbC 2) =0 quod absudum, et 21 vel 11 = f
  35. it usque ad 22. assurgetur ad +3. et fiet 3e= H224 L et 22- 12I et
  36. :t= H 1 et fr 22 = - 1: 3. 11 = 11. 21 sen 21 = 1: 3. 11. 11 = 11 firt : 11 = 1: 3. seu 11- V 1: 3
  37. =
  38. Si adsit 23 assurgetur ad +2 et fiet 25=0 22 = - 1: 3. 11 Xc ut aute.
  39. S ad sit 24 asscunctur ad (. et fiet (24 = 1: 5. 11 = 11. 23 seu 23 = 1: 5. 11. 11= 22. 11 + L.
  40. seu 1: 5. 11. 11, 1: 3.11.= 22 = 11. 21 fit 21 = 1: 5. 117 - 1. 3.112 = 11 -1. seu
  41. 5. 11
  42. + L2 = 1
  43. ut supra = =1. _ sedin unde colligitur contrunando fore: ascut = 2--
  44. quia langens F = Z. itam nihil duci pr ex istis
  45. B.1
  46. 3. 11.
  47. +1 erc
  48. qu
  49. 1t 3. 11
  50. 511)
  51. tan magis maysus
  52. ubito de Methodo Quariaturarum speciulium determinata
  53. adde schetam olo. uti finitiones seriem infinitarum.
  54. ibi serieiata infinita terminorum relatio replicata indenitur

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 16r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068073:0031?run=73