Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 35v

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: 0.83.

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. 36r); this page is its left half.

The machine reads it as

  1. Ergo habeemus dY, seu
  2. aqu
  3. -V2
  4. 1- NY1-v
  5. d.
  6. 6
  7. 11-0V
  8. id es supraL
  9. N1-2
  10. ac proinde mulando= in +
  11. quia tantum duetangells ad ca signum
  12. non magnitudinem exprimit, sed tantum ia quam
  13. pontem aliqua farigens ducenda sit determinat
  14. fiet:
  15. i
  16. aequ.
  17. Si - a
  18. N2
  19. 1- V Vi-ar
  20. sive l - N aequ v
  21. nam alioqui, si faceremus aequ.
  22. Sior iV, V,N
  23. fretet
  24. 1- V aequ. - V seu 1 aequ. 0. quod est impossibile
  25. iraque necesse est= mutari in +. Quod et in potestate
  26. est quia signa irrationalia quadratica semper
  27. sunt ambigua,
  28. aequ
  29. L et potest scribi
  30. - L
  31. + V1-N 1-V (4)1-V
  32. et ita faciendo + aequ. +
  33. et (+) aequ. - quod
  34. fieri potest quia fuere duae extractiones diversae
  35. a se invicem independentes licet ex eadem
  36. vir
  37. sion aequ.
  38. quantitate), patet fore.
  39. sseu
  40. vvur, vr
  41. iet ut ostendium 1-V aequ v seu V aequ
  42. Itaque. insi in calculo erravimus) erit
  43. inus complementi; sumatur sinus complementi
  44. vr si, aepadigdium scilicet latus quadrat
  45. circumsripti, sed hic videtur eror sabessum
  46. DC
  47. s
  48. is enim est major zadio id est Circuo daco
  49. 2
  50. Cacum inscribatur quadralum, huic in scribata seo alius
  51. circulus; erit quadrati labus radius hujus circuli imenti
  52. sumatur pro simi complementi arcus circuli dati.
  53. isa, et arcus cujus est iste sinus complemensi
  54. aequabitur, tangensi complementi seu brevius
  55. si radio existente 1. sinus sit v= erit tangens
  56. p
  57. aequalis ai complemento arcus. Tantum ergo
  58. superest, ut videamus an huus sinus ratio ad
  59. arcus ratio ad totum circulum detur

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 35v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068073:0070?run=73