Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Ps. 1], fol. 177

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: 0.81.

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

The machine reads it as

  1. AB, I
  2. illelogras
  3. n Apollo
  4. AE
  5. cacibus in
  6. a ti
  7. l. C
  8. II
  9. en
  10. a
  11. et
  12. te
  13. On
  14. eun
  15. 1a
  16. COM M L R. T AREE IA LABRUM TI.
  17. 17n7
  18. tem in curra sIE C. Ec in
  19. AB quidem puncto A exi
  20. Sente dato, ec in iplam à
  21. puncto C demissa perpen-
  22. diculari C B, ad reteren-
  23. dum punctum C 2d ali-
  24. quod punctum iplius AB:
  25. voco AB, X; EBC, p.
  26. Deinde, quoniam, propter
  27. politione datas AB, DF,
  28. datum est punctum inter-
  29. sectionis D, data quoque
  30. erit recta D A, HCC nOn
  31. AF, quae ipsi AB est perpendicularis, Secans D FI in F. Denigue,
  32. demissa ex puncto C super D EI perpendiculari C 6, producatur
  33. CB, donec occurrat rectx D F in puncto II. Quibus politis, ut
  34. inveniantur rectae DC, C C, ostendentes relationem, quam ha - potig quaerenda EG. (9
  35. bec punctum C ad punctum C; POnatUFD A ∞ a, A F ∞ b. Flinc,
  36. cum AB siIF ∞X, erit D B ∞ a- L x. Jam vero quia propier simi-
  37. licudinem triangulorum D A F, DBFI, D A est ad A F, hoc CAt,
  38. a adb, licut D B, hoc eAt a = X, ad BII, erit B FI ∞ ab + b ~. Cui
  39. si addatur C B ∞ y, het tota C IIDy L b. F-. Porro quoniam
  40. rectanoulum esttriangulum D AF, erit quadratUm Cx DF X-
  41. quale quadratis ex D A et AF; ideoque D I ∞ V a a F b b. IIinc
  42. Cum D A siE ad D F, hoc est, a ad V a a L bb, SicuFD B, hoc CAt,
  43. a = X, dd DHI; eric ipla ∞ a +
  44. V aa = bb. Similiter, ob similicudinem triangulorum F AD,
  45. FIOC, cum SEuED F ad F A, hoc CA, V a a = bb, 2d b, ica C LI,
  46. hoc ett,7. Fb. + = ad HIC; eric HIC ∞ abr + abb + bb x
  47. aV aa + bB. Jux
  48. Si Suberatatur ex D H D V a a F bb . F = V a a F bb, relinque-
  49. tHE DC X
  50. + a a X - aBy
  51. aV a 4 L bb
  52. AA + a X - by
  53. Y aa tbB
  54. Denique quoniam
  55. DF es ad D A, hoc est, V a a F bb ad a, sIcuE C FI, hoc es,
  56. V
  57. DB, (4)a 1H 1

Cite

[Ps. 1], fol. 177. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0199?run=74