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Leibniz-Handschriften zur Mathematik LH 35, 1, 14, fol. 28v

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: 0.93.

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

The machine reads it as

  1. si punctum d sit in eadem recta cum duobus A, B, recta
  2. tus duobus terminata vel eadet in rectam his
  3. duobus terminatam, vel in eam productam
  4. sun pa eBt
  5. in A
  6. (2) si rectat producatur; et ita ut terminus post
  7. productionem A, remotior sit ab_ aliquo rectae
  8. puacto in eadem recta puncto D, quam
  9. terminus ante productia em B, et continuetur
  10. poductio, adhuc magis removebitur, ter minus
  11. inis
  12. secundae productionis F. quam primo A
  13. 3) Si recta A BC producta ex E cadit in D
  14. B non cadit in D necessario producta ex L cadet
  15. (9) Si punctum D in aliqua recta positum non cadit
  16. in
  17. in aliquam ejus rectae partem, et BC, et nec p
  18. pars haec producta per unum extremum B in ipsum
  19. incidit producta per alterum C in eam incldet
  20. 1d flinc
  21. BC
  22. (4) Si pl iisdem positis, si pars pro ducta per
  23. patet ex a
  24. unum C in punctum extra eam in eadem
  25. recta positum d incidit, productum per altem
  26. extremum B in eam non incidet. Patet exheri
  27. si recta producatur BC producatur
  28. ex uno extremo C in D major erit distantia
  29. 5
  30. termini productionis a termino non producto
  31. lovi
  32. termini post productionem C a termino
  33. permanente B quam termini ante productio
  34. nem ( ab eodem permanente B. Hoc patet
  35. ex definitione productionis B nam producere BC
  36. per R in d est facere BC + Cd ∞ Bd. Hinc
  37. videtur Xt demonstrari 2. Nam sit CB+BA+ A)
  38. CB + BA~ CA et eN BA + AFD L F ∞ BF et sit ADpBD
  39. ostendendum est fore A FD NAD scil. si D non cadit in AB.
  40. 6nempe si AB non HD+ DB et ADABD erit AD AB+Bd
  41. Nam si Ad pBD erit AV+ VD∞ AD ut si AV- A VD = BD
  42. jam AB non AV+ VD. posito VD=Bd

Cite

Leibniz-Handschriften zur Mathematik LH 35, 1, 14, fol. 28v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067976:0056?run=39