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Leibniz-Handschriften zur Mathematik LH 35, 5, 27, fol. 14r

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: 0.75.

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

The machine reads it as

  1. st
  2. aequ V2ax -X
  3. 1+X ogo 1 + ex + C. C-t X + C. (- 1. C- 2
  4. 1.2
  5. 1. 2.3
  6. ete aequ Prax x
  7. 4
  8. sit e cqu 2. fiet 1+ V CE 2X + XX aequ Prax - XX. ergo 1+ 4X +6X + 4X+ X aeq. 24X- X
  9. 47 cqu.
  10. 2+2
  11. - 1 - 27 - 79 aequ F1 - 73
  12. l
  13. in scheda aliqua singulari plagulae in fol. jun. 84. ubi curvam quoesitam tansentim
  14. a
  15. proprietatem in erset seabentem, nivixinimque ape infiuitarum curvarum bquae in unico
  16. tantum puncto salis faciunt, prodiit pro o adratura sirculi talis aequatio logari
  17. xI
  18. famice resolvenda:
  19. +Z
  20. = 1
  21. prpilo radio si si sinu verso X. recto siXi
  22. aequ. S2 + 27 = 1- 27- 79 seu 1+Z aego 1 - 7Z et sit Z. sinus complementi sigu sino
  23. fiet 1+3
  24. C AV
  25. Hige qati hanc aequationem entemus resolvere in numeris speciilibus. iti exui potest transcendentaitate
  26. Lar 2
  27. sit: 1+Z aequ 1 + 7 Z + v. v - 74 + r. v- 1. v- 2 73 et. aequ N1 - ZZ. ponamus v aqu. 2. et videam,
  28. 21
  29. qualis fuluro sit Z. et quidem senes fit finita et ita stat: 1+ 2Z + Z
  30. 4
  31. fit Quadrando fit: 2+ 1+ 4Z +67 + 473+G aequ 1- 72. seu 4 4 +8Z+47+Z3 aeg. 0
  32. e
  33. itaque cum Z(ve X) possit sumi pro arbitrio sumendo talem, ut sit 4+ 72+4Z+ y. 0.
  34. eris a aequ 2. seu eaeque3 Unde haberi posset arcus aliquis circularis per commu-
  35. nem Geometriam. pro _Z reddendo X
  36. sit
  37. se
  38. fit; X aequ I = 1+ 2X - XX seu aq
  39. seu X X X rgo 2. Et poni potest X aequ. 1. sed eo casus X
  40. C
  41. ago 12X- x fit
  42. aequatio identica per se vera. Sed sciendum est hanc radicem plures daci radices.
  43. +X 2+
  44. L
  45. eu x
  46. pe
  47. aequ. 1 - XX. fit
  48. A + X = 2 f X + X + 2
  49. +VZ + v. y. 13 etc aequ SZ2
  50. 1.L
  51. Z
  52. X + X + aequ
  53. L1 -2
  54. et
  55. fiet X + L aego 1S - 7
  56. si posuissemus voego 1 fieret haequ. 4, et 2
  57. 1+ 262+77
  58. et 14 Z aequ - 77e. seu 142Z+73 coyl
  59. ergo
  60. 2
  61. aequ = . jam 14 7 aequ X
  62. Ergo Xaego 1- 2. seu x aeque
  63. contra hypolkesiri, utque enim ita est X
  64. mo 12x.X
  65. aequ 27 -79. seu ZZ aeg. = l. quod absundum
  66. 2
  67. sidetur se natura gerum opponere. Solutioni, quantum pote
  68. B. commisus hoc aliquist exer in istis calculis borrectus in s. Eeder 1. Aug. 1664

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 27, fol. 14r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068045:0027?run=73