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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 227r

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.

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The machine reads it as

  1. X67. 1676. Figmra quadramt comparatur cum alta alterius disse
  2. In opistola cuea ad Cloenbumum
  3. aexb
  4. furhatidano
  5. scupta 1676. est formila generalis differentiarum
  6. Erit
  7. gradus cubici, ubi si tolli possent tres puae
  8. lite primi termini erga
  9. 4Z. X2Z haberetur
  10. quadratura Hyperbolae modo restet XZ.
  11. videamus, fit, 3bc + 4ab (0. seu 3c + 4 ab 50
  12. tursus 6b ce + 4b d po. seu 3cC + 2b d. 10. et nabcipo
  13. seu 12 ab + e 10 fiet: e- 4ab, - Bab
  14. quod est impossibile ergo tollo non possunt su tex mini
  15. fieri potet
  16. i proposita nira invenire equadrabititatem anatysticam
  17. absolutam, idem est aequatisongro sita curvae aequatione invenire
  18. aequationem exprimentem differentiarum inter ejus ordinatiis
  19. et hanc data compara; sed quia id sae pepolixilum alia
  20. crcumspicienda ars.
  21. 3
  22. sit aequatio a a + bX + cy + dXy +Cx + y + gxythxG + b
  23. itis
  24. fiet alia et b bdx + duxdus t2exdx +2gXyCX +2t Xy S) e
  25. cay cdy ayex 12fydy te
  26. 2
  27. + 3lX2dX
  28. 3My dy
  29. agridu
  30. +
  31. hydx
  32. Alterutia jam ex his dx vel Sy pro constante altra
  33. 2.
  34. aro i variante sumi potest et pro varia substitui
  35. in
  36. Ox esse constantem et cyp.
  37. et data sit rtlto exprimurs relationem inter q
  38. et X posito Z esse ordinatum, X ubscissam
  39. curva cuci quadratura quaritur, quaeritur aut ila data
  40. asquation in duas inter Z et X, assumto pro arbitrio valore
  41. ipsius y per Z et X expresso, duae aequationes datis similes
  42. formari posint H ita procedat, fingatur aequatio relatiorem
  43. exprimens inter Z. x. y. et ea tollatur Z ope datae
  44. quod generalissime fiet. Sublata comparetur cum generacissime
  45. nata idi
  46. ex solis xs composita. An rectius erit non universatem
  47. assumere x X. y. Z. sed datam inter X. y. dividere induas
  48. t XX+ Z ita dividere, b X + fapX cu 0
  49. CH X
  50. d.
  51. agas es

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 227r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0449?run=74