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Leibniz-Handschriften zur Mathematik LH 35, 1, 1, fol. [13]r

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: 0.89.

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The machine reads it as

  1. AXioma 13 Eucliclis (uti numerat
  2. clavius) demonstratum.
  3. A
  4. Asserit Euclides rectam quae alteri rectae cd
  5. propior fit, tandem productam productae
  6. occurrere in E
  7. C (F). M
  8. a dato pncto Apducatur recta
  9. intermitato in sit est dpucta
  10. atiun
  11. u terminenta At
  12. agate
  13. udus
  14. Acpss rectar.D inAL
  15. sit susnem ad puncto
  16. qunntum detre remntum
  17. in recta A sumatur AGaqualis AB, et recta
  18. ACH
  19. AG moveatur cirea 1B) donec intermsin s
  20. G incidat in punctum B et F sin 1
  21. Est auter A
  22. ata ve AH in definite
  23. magnus aneoque H ad easdem partes a quas
  24. est , alioqui
  25. a a puncto A remotiore in recta AB, ducatur
  26. AG AF ad punctum tans rectam interminatam CD situm
  27. F recta AF quantacu quantum satis est n longa
  28. quia et punctum F a puncto A quantum satis est
  29. remotum esse potest. in recta AF sumatur AF aequalis
  30. AG. _e centro A radius AGF moveatur, donec C incidat
  31. in B et F in H. pono autem H esse ad huc trans
  32. rectam (D. quod esfici posse sic ostendo Ponamus tum
  33. sec H non esse frans rectum CD sed citra (in (H) eag
  34. recta A(F) extremum (F) jam a antequam perveniret
  35. ad (H) secabit rectam CD in M fnam cum (F) prius
  36. esset insra Cd jamque sit supia necesse est ut
  37. nlicubi transiert per d, nempe in M). sed ne
  38. hoc non fecisset si recta AF sumta fuisset
  39. euno ilem
  40. longior quam A(F vel AM
  41. et n lonum assumi potestet ut in millo puncto
  42. cumque idem effici remedium ad haberipossit in quocunque
  43. puncto secare infelligatur anlequam G
  44. pervenit in B. sumendo scilicet Af obintio
  45. majorem, qualm est recta ab A de ilud punctum
  46. G.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 1, 1, fol. [13]r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067960:0025?run=39