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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 260v

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: 0.84.

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. 259r); this page is its left half.

The machine reads it as

  1. Videndur am summae inini possunt per appro pinquationem. b l + -
  2. st fq 104
  3. har lia +ba bit, b
  4. + 2 4 223+81 +24, 4 219
  5. Esto D = circulo. et se circumferentia fiet: aN = 0. Eg 24N = O. Ego 2ad = 4
  6. ax - =
  7. deo cum posita danetro = 1. 2. iventum sit ese Eirculum 3, + 4 3 99+ 1g5 et = C
  8. O erit =
  9. 4a
  10. ao Cago equ Cuculo ipo Ergo
  11. 5+ 3
  12. ete
  13. vit =
  14. 3 + = + = etc = 8. et 8 +
  15. SF RA THO DLAME TRI AD CIRCUMFERENTIAM
  16. NUNC eRImum GMETAEE EXFHESSA, ad roaS PER SERIEM
  17. MAGNLTUDO CIRCULI
  18. et
  19. 2a
  20. EXACTE ACCUAAIEINVEYTA
  21. NIMERORUM RA TIONALIuM. INFIxiTam
  22. QVADRATURA, CIRCULi ARITH MZ EICA
  23. numerorum rationalum
  24. 3500
  25. 238
  26. per infinitam se
  27. id est non Mechanica quidem, quia exacta est, neque
  28. u serte infinita numentum
  29. 3762 geometrica tamen, quo
  30. 3867 extivaatium explimo potestcirmili aut ergcum pontrae
  31. magnitudo, lineus arca aut circumfconitia datio
  32. 30936 ad drametrum, etsi summa ta totius seriet
  33. 1039
  34. Id est non Mechanica quidem, quia exadta est neque
  35. GGeometrica tamen, quia non dum recta cirumfert
  36. arcur aequalis ex hibita est. Inventa est tamen
  37. vera circuli magnitudo, et Ratio diametri
  38. ad circumferentiam accgrate expressa est
  39. infiuita serie portionumd
  40. t sc
  41. uarum progrestoms harm oniae serierum
  42. ANumeror imparii sine fiie continuati duplicentotumqus
  43. omnums
  44. Numer ungares ininfinitum deinceps ab unitate contrnnati
  45. duplicentur, a duplicatorum quadratis unitas auferatur
  46. Y Residua sunta ominatores Fractionum, quarum Nomarator
  47. unitas; ap erit haum fractionum jum
  48. qua
  49. mensura semel sumla aequivaleat diametro; e altunc portionum
  50. ejusdem monsurae, secundam has fractiones in infinitum assumtarum
  51. simma quabitur octanti peripheriae
  52. Circum ferenna
  53. arme
  54. ect cujusdam progessipe
  55. aterum rectae egjodam dato
  56. si
  57. .
  58. 4, Z + 4- 4 3 1 esc. in cisinitum.
  59. ca
  60. =
  61. 118
  62. +
  63. =radio
  64. Egd Ergo
  65. ita
  66. ago
  67. 3
  68. eam, s2
  69. Erit
  70. Diameter sit=

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 260v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 44). https://leibnizlegible.com/page/00067993:0522?run=44