Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 158v

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: 0.85.

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. 157r); this page is its left half.

The machine reads it as

  1. In delineade Bachovii, dato circulo primo, summa mini potest omnium circulorm,
  2. quia progressio horum est Geometrica continua.
  3. Item summa omnlam se circulorum per saltus, certis intemediis equaliteo ubiue relictas
  4. Iem summa omnium semicirautorum aut sectorum
  5. Item summa omnium differentiarum inter circulos
  6. differentiae in ter ciculos duos sese gilerse cantes sunt: lnulae tum Zonae comentrica
  7. Hum differentae intue duas Dnulss eecentricorum
  8. Item invenine possum summas, omnium lunutarum megorum differunt entim seitnenlus
  9. ciruli Hine et summae unulaum in infinitum, summari possunt aequantur
  10. a circulis miniribus parum
  11. enim summis corculorum, et si Lunulae non aequentur circulis.
  12. 6 8 d 6810
  13. 6 10
  14. Rachorii
  15. annntarum minorum in illo diaue rammate orum summae aequ haben
  16. 1
  17. a + b
  18. possunt dato radio, cum uMula illae aequentu tolis aequet tatis abcd
  19. aequeture Trangulo rectanculo cae.
  20. Nota si latera Trianguli rectanguli
  21. inaequalia oc proinde duae sumule
  22. quoque differentiae lumularum
  23. aequantur differentiis Tum
  24. cutorum Curmex aequalu
  25. Nata in Delineaia Bachoriana:
  26. Lunula major ut S 3 Bi S.
  27. dento Vlo 3B m= circulo. 4S
  28. atc b+c arc, a ab + cb
  29. bse ab +ca
  30. Ergu ex abteb
  31. b
  32. a + c
  33. a - b = b +c
  34. a = 2b +c
  35. a - c = 2b
  36. a +C
  37. a c 2Ct
  38. t
  39. atc
  40. seu 2
  41. +
  42. a + c
  43. b+C
  44. a-E +C

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 158v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0316?run=74