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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 271v

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: 0.85.

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. 270r); this page is its left half.

The machine reads it as

  1. e ()
  2. X
  3. a
  4. V
  5. 2
  6. a-5
  7. Ergo e x. Ax = a V. dy
  8. dividento aequ. 2 per aeq. 1. fit.
  9. seu e Saxix 4) ay:
  10. C. _ax : X = a. dy: y.. ryse
  11. Ergo e: a = (dy: y: (dx: X
  12. Si de sint progressionis arithmeticae, erunt
  13. dx: x progressionis Geonetricae Nam
  14. Si X sint progressionis Geometricae erunt dx: X
  15. progressionis Arithmeticae nacu si X est progressionis
  16. Geometricae, erit dx ejusdem propositionis Geometricae
  17. ergo dx: X est constans, ergo (dxix est
  18. progressionis Arithmeticae. Eodem modo ostentitur
  19. etiam X: ex dore, Arithmetriae progressionis si X
  20. est Geometricae. Aee e8 Eodem argumento si
  21. X sit progressionis Geoucetrie a dx: est reciprocae
  22. psius X, et dx: X est ut 1: XX et ita porro
  23. Si X+a sit. progressionis Geometricae, etiam sdx: xa
  24. erit Arthmeticae
  25. si _ X +a Et progressionis
  26. Gegmetrica, erit sex Lx: nera progressionis
  27. Arihunticae
  28. Oc .
  29. e
  30. . simuliter pollumus pocedere nnn tollendae serimum
  31. ad sed cun quaerendo aequalione exprimendi
  32. secundum X et a reliquis literis sub generalibus coefficientia, dissimulatis
  33. s
  34. (+ X
  35. inde assumemus aliam vl aquationem etiam continentem X
  36. et a et quidem talem s ejus pe loco aegr.2.
  37. differentiatem 3) ope 2 et 3 tollemque tom X quam ex
  38. ex aeq: 1 restabit sola a cum liters factitiis quarum
  39. opes torcenda; sed puto viam praecedentis pagrnae eesse
  40. imblitem faclius engu initit tolilu a, quam X
  41. N
  42. sed quando a er ifficalius tollitur licebit collere plius X
  43. habemus cuum electionem

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 271v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0538?run=74