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Leibniz-Handschriften zur Mathematik LH 35, 1, 12, fol. 7r

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: 0.88.

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

The machine reads it as

  1. propositio demonstranda
  2. est
  3. s Ex his tribus propositionibus ABC unic. et ALm unic.
  4. et BCLM est mic. positis duabus tertia admittenda est
  5. ABC esse unic. significat Si sit ABC ~ (A) BC erit A ∞ (A
  6. purro ABC ∞ (A) BC significat 3) AB ~ (A) B et ) AC~ (D) C. Eodem
  7. modo si si ALM esse unic. significat () si () sit (5) ALM ~ (A) L
  8. erit) A ∞(A). Hinc per 2 et 6 erit ) A) ∞ (A)) itaque per 5 et 7
  9. erit (8) ALM C
  10. e
  11. (1) LM, id est (9) AL ~ (A) L, et AM ~ (A) 1
  12. habeo praeterea axioma si congrua sint deter
  13. minantia, etiam congrua esse determinata et
  14. viceversa sit ABC unic et LMN unic
  15. sed non viceversa
  16. AB. unic et CHI.
  17. u
  18. recta
  19. Y recta
  20. congruantus AB et LM
  21. congruent etiam X et Y, sed non vicissim. Sed screndo
  22. estetiam
  23. 7
  24. determinata, alvoqui
  25. et Y non esse
  26. tiam congralient
  27. minent eodem modo
  28. d
  29. endm e
  30. 1
  31. ut deten

Cite

Leibniz-Handschriften zur Mathematik LH 35, 1, 12, fol. 7r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067971:0013?run=39