Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 133v

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: 0.79.

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. 132r); this page is its left half.

The machine reads it as

  1. quibus positis videamus au liceat a sumere pro artituo, seu Y - p g +
  2. eit 2al L Hgr + gp + Xpr = fP, quod utique fieri potest, cum p et alius
  3. praeterea ex his dubbus Y, et g. pro arbitrio sumi possit. Sumto ergo p pro artituo
  4. oquia a datur ponamus determinari , ,. jamque r, et p deter minatis
  5. in aequatione. = + 3gY + 29β_0, de finietur g.
  6. Quo genere calculi, nescu
  7. an aliquid fingi queat subtilius. Exequatuur tameu, sumtis ergo a, et, , fiet
  8. Y ab + 2gp + pV g al - pr + p2
  9. 2gP
  10. sulstituto fiet - 3
  11. non
  12. = 2g- 2p
  13. quo valore in altera aequatione
  14. + 3alr 3pr +3pr. + alp - p r + p3 0., reductaque aequatione
  15. 2Y= 2p.
  16. patet g minime ascendere ad arlitium quadratum, ideoque assumtis, a. Y. p
  17. pro arbitrio, determinari g. neque quicquam solutionit prorsus indefinitae obstare
  18. Si calculus recte processit patet p. +r3 + pr + 3alX-Xpr 17 pY + alp- pr +p
  19. fiet: r al +29p +p quod multo minus procedit.
  20. =29 + p
  21. An sic, aequalio umelliplicetur per 2, dividatur per - Y, fiei Y 6g - 2 gp al O
  22. aequatio D dividatur per +Y, fiet - 2g - 29P + p = p, juectisque aequationibus
  23. Y - 4gr al g pr + pr or, quae d’addatur ipsi D fiet
  24. r=ral - 6gr - rgso r
  25. an non extractione quadam compendium, haberi possit, esto Y, quadratus
  26. et -29 + P e f, etiam quadntus E g
  27. assumtis ergo g numeo quadrato eh
  28. 1I Or A 4p
  29. fiet ergo 2al p - 2 h3 Sonltapl- 2sp + p. hs or tp - p id est
  30. Y. a, h. P assignatis pu arbitiio, et posito 6rleplbrlt9
  31. et 6rl + qu
  32. 5 4 + 295 + s fiet 6rl 295 +q, et Serl-qu
  33. et radix S6rl+ 2pL, ert g + Erl - qu
  34. 2al F- 2h 6rlaqu
  35. qa 2h p= + ph 6rl - qu-
  36. ponendes
  37. q
  38. atque ita al assumi potest pro arbitrio cum ipso assimta supersit alius
  39. determinandus
  40. Y.
  41. gu
  42. Hl a
  43. in qua de aequatione ut aliam praeter a, radicem simplicem obtineamus difficile
  44. factu est. Ergo videamus quid fiat, si pro r, substituamus ejus valorem,
  45. a
  46. Ne dostima desistamus tamen videamusque
  47. e
  48. 2
  49. eritque
  50. e
  51. una idat indu et
  52. 1
  53. .
  54. so

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 133v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0268?run=74