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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 48v

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: 0.80.

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. 47r); this page is its left half.

The machine reads it as

  1. sisi hoc sufficeret, posset etiam alius sector exhiberi
  2. cujus ex cessus super jectorem quadrantatem sit minor
  3. vovis dato et excessus vuloris ejus super
  4. == +en. sit etiam minor quovis dato.
  5. I Nimirum quando y est majer unitate, tunc
  6. 2
  7. yy
  8. non ad hibenda est series Y pro non adhibenda
  9. 1+7y
  10. est series yy - y +y = y et1. Sed alia
  11. talis - - a L
  12. 17
  13. Cujus summa est ga
  14. 1 -
  15. 1
  16. y
  17. subtrarendo ab
  18. +
  19. restabit. 2-
  20. 3y
  21. u
  22. + etc, quasi scriplum fuisset 1+
  23. s
  24. y3=
  25. yd
  26. 5
  27. 17
  28. 15 4 ete
  29. seu ab y - L +-
  30. +
  31. et
  32. y
  33. 5y5
  34. quod
  35. 77
  36. = - + - ete
  37. 13
  38. + etc. pro area segmenti arcus
  39. y
  40. ad
  41. quadrante majorisca addatur BC seu ad: Z seu
  42. prodibt
  43. seu ad
  44. jis
  45. etyy
  46. eu ad 1-y+4 ele dib
  47. seu ad:- - 3 + = etc. prodibit pro area sectoris
  48. Lc
  49. - - - etc. posito tangente semiarus, y.
  50. yi
  51. et cum radio existente 1. idem sit valor sectoris et semiari
  52. y
  53. y
  54. y
  55. ergo posita tangente is, et radio 1 radiaq
  56. exstente arcuqe quadmutam semiquadrantem excedent
  57. cam scilicet e major unitate
  58. valor erit - L + L - -, eta at arcus
  59. s
  60. y
  61. Sis
  62. seniquadrante minoris valor ex supra dictis
  63. erit y - L 4 y
  64. = y
  65. cum scilicet y minor unitate, quia
  66. kC. alioqui series non decrescit, inter
  67. abrumque casum cadit simplicissimus, cam y aequ. 1
  68. unde facile demonstratur
  69. nec majorem, nec mporem
  70. esse quam + - =e
  71. arcum semiquadrantis vel qualorem sectoris quadcantalis

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 48v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0096?run=74