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Leibniz-Handschriften zur Mathematik LH 35, 5, 23, fol. 2v

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: 0.86.

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. 1r); this page is its left half.

The machine reads it as

  1. idem aliquis numeus in diversis Cogarithm
  2. habeat non 0 sed alium numerum utrobique. pis
  3. Cogarithmo, detrahendo eum utrbiq a logarcha
  4. utrobique assumlis, erunt residua ipsis 3 Numeris
  5. primariis proportionalia
  6. porro quia d7 aequ dx + 2+)b: r
  7. et.
  8. fiet t X aequY )d7: +7 + b
  9. addendo a pro arbitio aut etiam si placet.
  10. subtrahendo, imo et ipsi xsia f
  11. signa variando prout res jubebit Nempet
  12. Si +7(+) b semper faciunt quantitatem
  13. .
  14. affirroalivam, ipsi X demper praefigendum.
  15. signum nec refert quale praefigatur sgno a.
  16. ipsius
  17. ex his quoque colligimus X, Logarittmum
  18. y. posito b esse . fore:
  19. dy (7
  20. posto ipsas y esse progressionis Geometrica seu
  21. yaeqoZue et b esse aqu. 0. ipsa autem a. nihil suntat
  22. sive sit a manet ertim progressio authmetia
  23. licet aliqua contans addatur vel adimatur
  24. Eadem colligi possunt variis modis, eam
  25. enim in omni progressione Geometrica, differentia
  26. sint teominis proportionales erit dy. ad constante
  27. ax (quae est differentia abscissarum nniformiter
  28. descentiumut V ad atistantem Y.
  29. tangentibus
  30. Aem ex quoaaluns paraboloeidum:
  31. se si sit 4 aequ _ p sintq l’ ordinatu, pab
  32. parabolocidis ut n et a siint exponentes in tota
  33. parmboleide constantes fiet: m la dl aeque
  34. M.
  35. est superbolicam
  36. m-
  37. qua
  38. d9 aequ. dp. estalitem
  39. aequ
  40. p. . ergo fiet: Mp dus aequ q ap
  41. 1
  42. seu mosdus: 9 aequ sdp: p.. seu fiet:
  43. M l exponens sive logarithmus spiu p secundum termi–
  44. nam serier 4 ad unitatem cogarichmum ipsius
  45. extit m ∞. 9u1 Z. se hnde
  46. a in 16c2g. ’aequ. loganthimo de P exempligntia + aeq.
  47. curvanoga
  48. ptimicaur
  49. cu ed
  50. ob
  51. Scled. Sequorti

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 23, fol. 2v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068041:0004?run=73