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

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: 0.81.

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

The machine reads it as

  1. se
  2. yy = ax
  3. sit Egnus = gax
  4. ab sint abscossae
  5. XX ay
  6. dy - axtax seu Cyyt 2ydyydy (ax, tady
  7. Assumatur hova abscissa novuque ordinata, sit
  8. ++ du = a yt dy seu (HH 2Xdo (+ dudod = (at adi
  9. s
  10. M
  11. ne
  12. ee
  13. ad adus
  14. Assumatur jam abscissa et ordinata nova sintque abscissarum
  15. fit 2gdu
  16. differentiae aequales, fiet x +2dx a y+ 2dy+ adque seu fret
  17. XX +4Xdx + 4dx dx = ay+ 2ady+ addu
  18. Hinc videtur inferri
  19. = addue rejiciendo XX = ay et qxax = radyue, sed
  20. falsa est haec aequatio 4axdx= aguus. quod sic ostendo. Habuimus
  21. dx dx
  22. A
  23. Ergo sit
  24. adque. Ergo fit 2 axdx addis
  25. 2Xdx
  26. quare sequitur su aeg. princ elidenda esse incomparabilia, quam
  27. i t
  28. aquividetur dicendum
  29. aequalia. sed si hoc verum esset etiam in aeq. V. prius oporteret
  30. 2Xdx et adque, quam xx =ay, unde non inveniretur aequatio
  31. Exde = adque dicendum ergo. ia esse elidenda quae sunt gradus
  32. elidi
  33. uterioris. Cumsqe aequ. non sit habita nisi per primam differentiationem
  34. elidendie tunt in ea doerentiationes secunde

Cite

Leibniz-Handschriften zur Mathematik LH 35, 1, 9, fol. - . Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067968:0136?run=39