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Leibniz-Handschriften zur Mathematik LH 35, 1, 11, fol. 32r

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: 0.87.

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. 33v); this page is its right half.

The machine reads it as

  1. Aug. 1679. Scheda 4.
  2. Punctum, A. b
  3. Linda est via puncti 3b5b9b
  4. Rera est. a ob Ab Cyb linea solis duobus
  5. in ea si opus producta datis punctis determinata
  6. dueresta latem
  7. s
  8. seus 3b A6b C 9b 3 3d A6d C 9d. 5i.
  9. ambae sunt Ractae
  10. 1
  11. Ergo ponendo 3 ∞ A∞, 4 ∞ Cayd 3d.
  12. erit A6bC ∞ ABdC∞ sive unica erit
  13. Ergo recta AC unica est recta AC. inter
  14. duo ex trema A. C.
  15. Recta inter duo extrema simplicissima est
  16. quia solis extremis determinatur, quo nihu
  17. simplicius interduo ad lineam inter duo extrema
  18. determinandam assumi potest.
  19. Hinc pars rectae poti similis est, seu seu
  20. sit A6bC ∞ AC erit ACB s sim
  21. seu A6B sim. A6bC
  22. Recta nullus habet plagas diversas,
  23. Recta nulla habet latera diversa (concavum
  24. a convexo) seu si sit A. B. C
  25. seu si sit A. B. C congr. A. D. C
  26. erit A. B B. AC. congr. D. AC
  27. d
  28. Adhibeo similitudinem, proque ea utor signo: simer tt
  29. aequalitatem
  30. majoritatem
  31. minoritatem
  32. congruitatem
  33. coiucidentiam.
  34. Angulus angulo aequalis
  35. NC od Ad B se
  36. 3d6dB dese B
  37. contr
  38. e
  39. ABC
  40. Anglus Angulus dBe si 6d3dB et beZe B
  41. sit
  42. Anguli pars dBe pars fBe si Cf Bp ysB
  43. 1 B p ZdB eoque posito sit d s ofxe
  44. id esst Si sumta a B3d utcunque parva n
  45. seu Bid p B2d positaque id ~H. 6C∞ L
  46. ductaque recta Hbu L sit 3f ∞Eg.
  47. s Video in exprimendis punctis
  48. maxima opus esse cura
  49. Quandocunque puncta in aliqua linea sunt
  50. data, quibus ipsa linea determinatur
  51. ea voca exprimemus majusculis A. B. C. ex
  52. Caefera omnia lineae puncta exprimemus
  53. una minuscula, ,ut d. ita tamen ut ipsa
  54. puncta discrimnentur numeris adjectis, 3d ad
  55. 3d. 6d. 9d.
  56. equod si jam assumamus
  57. 3d, (exempli causa) id significat, punctum quodlibet.
  58. n u a u a siesin
  59. l1n
  60. se
  61. .dest B3d p daaassignata B7

Cite

Leibniz-Handschriften zur Mathematik LH 35, 1, 11, fol. 32r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067970:0063?run=39