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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 36r

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: 0.82.

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The machine reads it as

  1. Merhodus ed pro investigandis divisoribus aequationu
  2. e
  3. dgregia, ut idem problema quaeramus diversa via. sen obtinea
  4. musque pro eadem incognita diversas aequationes. aertim quarum
  5. haet est
  6. leinde divisor communis dabit desideratum.
  7. s
  8. si aequatio divisibilis est per aliam rationalem utique sed terminus ultimus
  9. amu
  10. ratio nalis.
  11. aa
  12. dioisibilis
  13. 4
  14. ret A +2X + 1x - 18XX
  15. X + 2XX + 1X = 1B = 0 nulti plicetur per XX + 2X + 3
  16. + 2X + 4X + 2XX - 36X
  17. +3X +6XX + 3X
  18. X+4X + 8 X = I0XX = 33X =54
  19. a
  20. i aequatio sit divisibitis per X
  21. Pro es substituatur V + 1
  22. ponamus aequationem secundum X
  23. potuisse dividi per X+b, erit
  24. aequatio secundum y divisibilis per ytbr
  25. is
  26. ergo comparando duos divisores inter se, aequationis nem ultimi scilices
  27. x et in aeg. seludum, ii demum valebunt, posito
  28. n
  29. termini in aequ. sec
  30. dividi posse per simplicem aquationem, qui differunt unitate
  31. nis
  32. nonamus aequationem drodi posseper. Xx + bx + c et fiat X = y + 1
  33. aequatio dividens
  34. erit ausor
  35. s
  36. y +29+1 Ergo eliu sunt cro otorjores
  37. + by + D
  38. si divisoo procedit
  39. er adeoque divisor novus secundi termini erit b+et
  40. ergo fiat ad huc Y = 7- 1, et prodibit 3t - 27 +1 pro nova aequatione dividente, ergo divisor
  41. praecedens
  42. divisor ultrmi termini erat c + b +C ergo
  43. e
  44. et 4+ bg b
  45. C
  46. iatum termini est 1 - b + c, et paror erat est
  47. 2 +2c quorum dimidium cddermo
  48. eligendus divisor primi ullimis terminis, C Qui a Rmidia divisorum summa a duobus reliquis summa
  49. summa duorum divisorum ultimi, termini est
  50. CX
  51. distert unitate, ad invenientum uttum aequatio proposita sit divisboris per 49. 2d gradus
  52. porro invento e, habetur et b, cum decur 1b+C=

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 36r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0071?run=74