Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 1, 11, fol. 43r

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: 0.91.

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. 44v); this page is its right half.

The machine reads it as

  1. 1Recta est via per duo
  2. puncta data ex ipsis datis determinata
  3. AB.
  4. AB9Y. 3YAB. 3Y AB9Y.. fig. 1
  5. Loco AB scribi etialm potest A6Y B. et loco 3Y6Y9Y scubere sol
  6. (2)s A∞ C. B∞ D. Ergo AB ∞ CD. fig. 2
  7. id est inter duo, puncta non nisi unica est recta
  8. alioqui enim via haec non est exdatis determinata
  9. Hiqee
  10. B
  11. re
  12. a
  13. deess
  14. AXBCa
  15. eoque duas AyB.
  16. AB V CD. figu. Qeu recta rectae similis est
  17. Nam in modo cum eodem modo ambae determinantur
  18. ex duobus scilicet punctis, ubi discrimen notari
  19. non potest, nisi collatione
  20. (4) si ABp CD. erit ABG CD. fig. 5
  21. Nam AB V CD. (per praeced) jam et veste.
  22. (5) AB _ BA. fiu Nam eodem modo ub
  23. Nam duo puncta A. B. eodem modo se habent
  24. in determinando, nec discrimen rectam inter ipsa
  25. Itaque puncto cuicunque e quod refertur ad A. respondet
  26. punctum quod eodem modo refertur ad B. quae
  27. puncta omnia inter se permutari possunt
  28. id est recta inverti potest
  29. (65) Duae rectae non possunt habere
  30. duo puncta communia, nisi productae
  31. quantum s produci possint donec
  32. coincidant.
  33. frg. 1.
  34. fig. 2
  35. fig. 3
  36. ig. 4
  37. g. 5

Cite

Leibniz-Handschriften zur Mathematik LH 35, 1, 11, fol. 43r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067970:0085?run=39