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Leibniz-Handschriften zur Mathematik LH 35, 8, 7, fol. 24r

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: 0.83.

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. 29v); this page is its right half.

The machine reads it as

  1. si quaeratur linea CC talis ut tangentes ejus CF
  2. lineae datae EFF occurrentes sint magnitudine
  3. datae verbigratia ex datis AB, vel aliis ex
  4. pe puncto fixo determineta ratione assumtis
  5. potent linea C7 CC describi, ducendo folum
  6. per F lineam EF, filum FC cn affixuu pondus
  7. plano incumbens C ita, ut inter ducendum filur
  8. debito modo, pro magnitudinis latione, decrescat
  9. data relatione ater AB et Henivenire
  10. lineam C(C) hhoc per axtificium fili ducenti cum
  11. pondere nunexo ic effici potest, si conus
  12. vel aliud quod libet solidum poretur rotatu gemtum
  13. seu cujus sectiones basi parallele sunt circuli axi
  14. suo per A trauseunte sit percendiculare ad hujus
  15. pagina planum, et ita descendat Axis per a
  16. a ut diametri arculorum in paginam inciden
  17. tium et contractio
  18. data relati Ergo datque relatione inter AT et TC
  19. vel inter AD et DC describi potest inlinea
  20. C
  21. AB sit X BC, y AT sit T, et
  22. et paret esse 1+X: C:
  23. ame 4 2tX + X 4 G
  24. Bu
  25. vade
  26. TC sit C
  27. xdy.
  28. t+X: y: dx: dys
  29. Ergo ydx +dy+xdy. seu Fydx xdy.
  30. ji
  31. et cc 1 +2tX + X + y. sit jam relatio inter y. X. et d
  32. a
  33. si jam tollendo duo ex his tubus per et C. sollatur
  34. simul tertium, erit res resata ad relatiotem inter e
  35. et c
  36. sed possumu obtinere ad huc novam aequatione
  37. s.
  38. loco per differentialem ipsius aeq. 4, et fet cdc- Tdt+ tux xdx
  39. +xdx +ydyue. et ita poterimus ex orqu 5 tollere
  40. . ∞. ayiax per +. C. ae idc. si modo producta aequatu
  41. fiat tractabilior
  42. seu reducibilis ad relationem inter
  43. uum
  44. sit BP- ex AB seu X fet y: p:. dx: dy
  45. et C
  46. sit jam relatio inter X. y. xdy: dx. si non ponatur
  47. aquatio servare leges homogeneorum, secundum y et du
  48. s
  49. verbi gatir a+ V+ dety Y est qdu L0 patet simul tolli
  50. polle et daxidiet restare solum p et X. Eistque hocq
  51. a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 7, fol. 24r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068102:0003?run=73