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Leibniz-Handschriften zur Mathematik LH 35, 1, 11, fol. 30v

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: 0.88.

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. 31r); this page is its left half.

The machine reads it as

  1. Recta AB.
  2. Angulus rectilineus
  3. AB + BC AC et B AFACB C D3 E + BeA A BA et 3eA+ ACep 30 6C
  4. st A DB+ BCHBC AB +
  5. AB 1 BP AF
  6. quales
  7. Ingutes
  8. ABCp
  9. si BC (B + BP+
  10. Aa+ BC p
  11. AB + BD
  12. A3C + ed
  13. AD + 26a
  14. BC
  15. P
  16. Ar
  17. BC
  18. By
  19. His ppositis si Ae Aege
  20. si ABC potest congruore ABy C
  21. erina anguli tPt ABP re
  22. Anguli aequales:
  23. Duo quaelibet puncta A. B. sunt in un
  24. A. B. C
  25. Fria puncta Cesse in una recta sic
  26. significabimus: si AB+ BC AC vel
  27. ae
  28. vel ACFCBB AB
  29. vel sercA
  30. va BA + ACH BC
  31. Tria puncta A. B. C. non esse in una
  32. recta ita significabimus
  33. si AB + BC p AC
  34. et AC + CB p AB
  35. et BA + AC p BC
  36. nam hae tres conditiones simul ad hoc exqu
  37. exprimendum necessariae sunt nam si
  38. A B. A. C
  39. ordo punctorum rectae esset
  40. foret quidem AB + BC p AC itemque AC + CB p AB.
  41. et tamen puncta tria cadere possunt in
  42. unam rectam.
  43. Si tria puncta A.B. C. non sint in
  44. una rectae et tria puncta c. B. D
  45. sint in una recta tunc tria puncta
  46. AB D non sunt ir erunt in una recta
  47. Nimarum AB+ BCp AC. ACACBH AB. BA +AEpOC
  48. IVe CDtBCH ed rel verC BeBdrerd
  49. si jum ABa Bd AD. Nam si A
  50. in una recta et et A. B. D,
  51. si enim AB + B A 1, AD
  52. Num Si A orc
  53. in una recta erunt A. B. C. in una recta
  54. Haec des Haec propositio demonstrata est suo loco
  55. potst ex definitione rectae a nobis condita
  56. sad et nunc quidem pro axiomate sumi
  57. potest.
  58. pria quaelibet puncta sunt
  59. in eodem plana
  60. B. C
  61. A
  62. Hsob
  63. AC et B3d +3dCH BC et 3dC + cbd p 3 3d6d
  64. AB BD
  65. erit ang. Ve B Zd idem quod anus ABC
  66. explicandum qui
  67. alterius
  68. Iisdem positis sit _ CB+ BHH CH. B35 +3fH, BH
  69. 3fH + H6f Y ~ Gt3f6f
  70. sequitur expositis)
  71. et BH p Byd erit
  72. jam si sit ABH co congr. AByd
  73. erit erunt anguli ABH. ABC recti
  74. Hinc facile etiam explicari potest characteristici
  75. quis acutus aut obtusus.
  76. u
  77. oi
  78. C+C
  79. A AB+ BH p AH (quod
  80. Hinc apparet Quomodo
  81. ita exsor Schemata
  82. literis exacte repraesentari
  83. possint

Cite

Leibniz-Handschriften zur Mathematik LH 35, 1, 11, fol. 30v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067970:0060?run=39