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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 79r

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: 0.82.

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

The machine reads it as

  1. Ratio cg)
  2. cuc smso numerorum combinatoriorum sit progressionis Geometricae duplea, difficiles
  3. 3 Satis reddere ratianem, sed in eam rem
  4. a ata A B 2a
  5. ANX ca B1 X- 1a.
  6. re
  7. a en 4 a, x- 2a
  8. Cr, X - 1a, x-2a. B X- 1a, X - 2a, x 3 a
  9. EH X - 1a, 2- 2a, X 3a, X- 4 a 112
  10. 1,2, 2
  11. Connexio progressionum, Latet sub hoc transicu a progressione Arichum alica ad Geometriam mysterium
  12. i esonisponis Ggonet
  13. i potesatitm, qui sed
  14. s
  15. a bisectione. Si orirentura trisectione, an tri plae L videamus. XA ab m+ n +v. Ergo X n tmnt
  16. et Xh _ 3mnm Omnv (127. Et jam demonstrationem video manifestissimum e
  17. Aequationes umvm
  18. radicum aequaliu znn B
  19. per arithmeliam
  20. facullimam, quia perinde est ac si partes essent unitates
  21. rntenni m ablile foret hdc ex analytico volore derivare, seu 112+1
  22. No Huddemus observavit aequationes duarum radicum aequalium multiplicari
  23. posse per numeros progressionis Arithmeirae.
  24. multipl. aequationem trium radicum aequalum mulliplicari posse per numer
  25. pro qualuor rudicum aequalim per numeros progrestionis pyramidatis et ita porro
  26. Ego observaroi
  27. Quod facile demon
  28. rabitur, si cum Huodenii exemplo, si modo haec sit ostensa numerorum proprietas, quod multipercando
  29. 1. 2. 3. 4.
  30. vel pe
  31. vel per
  32. rC 1. - 2:
  33. Haaec quosperiore anno
  34. de modo
  35. a 0 fiet - 21210 70
  36. 0 +t 12
  37. 1. 8. +1 10
  38. per
  39. alia in soheda a me observata leges.
  40. dmn 6n +mmom
  41. ve moni
  42. u
  43. .1 3
  44. -1 0 n-649 -3-070
  45. ,bin. sund
  46. + 1 - 3+3 +0 - 1. non procedit
  47. non ditrrre
  48. recis quia
  49. +1+3+677 0-3 +9-6p0 tlansitus ab atsi
  50. et
  51. 10( 1 -9418- 1op ahlucti ut in
  52. 10 -6-G -1 1 10 +9 4itic
  53. E 115.-30+ 18-310

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 79r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0157?run=74