Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 3 A 32, fol. 6v

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: 0.90.

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. 5r); this page is its left half.

The machine reads it as

  1. Egoat. Ante omnia autem praedemonstro hoc lemma: bc = ad. Nam quia a- ergo mu-
  2. Aiplicando utrumque per d. erit ad = E Ergo multiplicando utrumque per b fiet ad - bc. Jam pergo
  3. + 3.X 2 = 1 erit ac a danteredes pibo. att
  4. si a +c
  5. en mo btd
  6. dba +bc - ba + bc = 1
  7. ab + ad
  8. ab + bc.
  9. X4 = 6a + bc Jam bc = ad per
  10. ab + ad.
  11. Intelligtur exultimo isto exemplo, propositionem hanc quintam inter Axiomata positam
  12. aciliori
  13. mondficiioris esse demonstrationis quam alias nonnullas, quae teorematis accensentur; exempli causa:
  14. theorema est, si duae rationes sint aequales, etiam earum inversas esse aequales, ia ita demon
  15. stratur facillime 4- E ajo b = D. Nam si ba X2 = 1. erit = 3. Anteredens
  16. probob = bc = bC = 1. Num per temmadictum da = bc.
  17. da
  18. arbitior in exemplum.
  19. Atque ista quadm sifficere

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 32, fol. 6v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068245:0012?run=74