Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 221v

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: 0.84.

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. 222r); this page is its left half.

The machine reads it as

  1. W. qu c
  2. a Hler p-2t
  3. e
  4. Resumto calculo.
  5. = hem. +a Im
  6. vode et regutu iuddemi fiet Cubica
  7. W + h2W m W - Im
  8. si poneremus m a, fieret si destmendo
  9. terminum penultinum, tantum videndum
  10. an ullimus possit fieri affirmativus
  11. 1 a l ater a 36
  12. suis an 220 l 4 l
  13. sive 27 ae l , 4h6 quod semper
  14. fieri posset, is error calculo subisset.
  15. quod est relire ad determinationem
  16. scipionis Ferrei.
  17. N. in conserendo sanda semper
  18. opera est, ud ea ante caeteras
  19. investigentur indeterminatae,
  20. quae per nullas alias multipli-
  21. aqy + a Aequatio cubica data
  22. + bY + ac b +d per cubicam arbitrariam
  23. atollitur ad quadato
  24. +bp. + baqu. + barY
  25. ac . +ac p. acaque. acarY
  26. 2ad. aedp. aedaqu.e adar
  27. + e) + afy +aegV rah q
  28. + 1 Jam
  29. quad quadratica arbitraria,
  30. per plul
  31. y + c eat taq ahy
  32. +C. + ld. olas alag + Cahy
  33. tam name namat tamag. tamah
  34. conferendo: P +b 5. e + l b erlap mh p dr. esivemf
  35. sivi de nh. Ex penullamis. rC + Mhq
  36. et erit cp Ihr + mgr -mhq
  37. pono ex lertis
  38. afY tamr aqr Ipr athir- amigr amhus
  39. af. aqu + epit lpr pritalhr tamgr amtiq. ler -cmr
  40. ear + laer-par + lhraque Emgraq mihgaqu mh Y
  41. eritque es ahr + lagr + aqram + lpram-pram +alhiam
  42. +amgram= amlgam-amram, -lar
  43. + par r2, = lhraque- ingraqu + nihqs aq mhapr
  44. superest aequatio unica ex terminis quartis:
  45. ar + eaque tlaq - paque, + Iir amgr - mhqus. + amh 7 ag +
  46. e, atiraq aqratir + agraqramagr peram t aquam gram- aqramngam aqu’amram
  47. H aragr- ar’ar ar pagr) araptnir ar’apinhq-artraem
  48. ra ra + rapntesae- qrtam + qui a - qranius + qu im +q nga e
  49. agre-pram + ger ma- erapmque + riam
  50. sive eri agr laqe + l pr. (p pr ul hor alangr lamhue-lamr- av C laq et paqu - aplir-apngrtaputus raeah
  51. conferendo ergo duos ipsius e valores novam habebimus aequationem, in qua quatuo supersunt in
  52. compendit causa fiat lro. fietx
  53. (+ agraer)qrqagringraque + aqrmhgaque q mhrapr
  54. quod si jam plactat et g facere pro fiet:
  55. aqu epr lpr- ht athranuanqu ler ant ane
  56. determinatae, g. h. l. m. ex quibus duae l. et m, conferendo ascendent ad cubumo
  57. reliquae duae g, et h. ne quidem ad quadratum,
  58. H ahr = laegr, + aquam + epram Alpram-pram taltiram
  59. +amgram- amligam -leram amram
  60. aqu-lpr + 1r
  61. agr +bpr + alher amgr- amhque af + lertamr
  62. est. P. Et ex hac aequatione fiet:
  63. ex terminis contexmultimisfiet:
  64. arpram +lram
  65. + Py + aq y rary

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 221v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0442?run=74