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Leibniz-Handschriften zur Mathematik LH 35, 11, 9, fol. 1r

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: 0.96.

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

The machine reads it as

  1. Secare Rectam n extrema et
  2. media ratione
  3. 1. Constructione lineari ex Analysi
  4. Algebraica fluente
  5. sit recta AC ita secanda in B
  6. ut sit AC ad CB ut CB ad BA
  7. producatur AC usque ad D et E, ita
  8. ut sit cD dimidia ipsius AC, et DE sit
  9. aequalis ipsi AC, praeterea ab AC
  10. detrahatur AF aequalis dimidiae ipsius CD.
  11. jam super EF describatur semircirculus
  12. cui ex D perpendiculariter educta eart
  13. DG occurrat in G. Inde ad partes A
  14. sumatur DB aequalis ipsi DG eo
  15. punctum B erit quaesitum
  16. 2. Expressione Analytica
  17. Data AC dicetur a
  18. erit BC aequal. - L a + = a15
  19. AB aequal. + 3 a = + a V5
  20. Appropinquatione Numerorum
  21. Si AC sit ut
  22. erit AB
  23. 481966 quae
  24. ut
  25. 1000000
  26. quantitas paulo quidem minor est justa
  27. exacta, sed error nondum est pars
  28. 1.
  29. 1000000 ma ipsius AC
  30. si tam accurate procedere nollmus,
  31. satis prope accedemus faciendo
  32. 482, quae quidem quantitas est
  33. AB
  34. pusto major, sed error nondum est
  35. 1000
  36. pars 100ooma ipsius AC
  37. m
  38. Patet hinc AB paulo minorem
  39. Bsse esse dimidia ipsius AC, quae
  40. i a dimidia ipsam AB nondum quin-
  41. quagesima ipoius sc parte ex redit
  42. equal.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 9, fol. 1r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068182:0001?run=74