Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 695 · Oldenburg, fol. 33v

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: 0.92.

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. 34r); this page is its left half.

The machine reads it as

  1. sccundo, quaevic aequatio cubica considerari potest ut relativa ad Aig
  2. dratica, inde derivabilouo, cujus limites inveniunt proposita cubicaradicuum
  3. adminiculo: linites vero cujusves aequationis Biquadraticue inveniant à
  4. Bartholuio, in Tractata divristices, aequationis quadratirae beresicio; quioni
  5. dequs Ruddens aequatio Cubua evitat.
  6. Tertio Cum alius quidacu ver praecarus ex eo tempore afirmarit om
  7. neum aequationu Liite, (Jum basis tum verticis) qua termino 2do ca
  8. rent; inveniri posse per aequatioes, duobys mininine gradibus inferiores a
  9. quatione proposita; suspicioem id rus parit, ipsum, juxta methodum duc
  10. de Bheaure c. 14. de natura squationu, terminum perultimu in locum
  11. secundi trarsferre. Aty tunc sane neutata hujus aequatioes linites inver
  12. ri per aequativeur quadraticam possunt. At vero num acquisita suerint
  13. linutes Riquadraticae aequationis prinio propositae, utque hac ratione evitata
  14. methodus seuddeniana, considerandiur superest
  15. zuarto, du darius, curu invenisset, unam ex Cardani radicibus Ronvuialibus
  16. radicem esse un aequatione quadrutica, alteram quoq taleu esse cexput. At
  17. difficultatibus immplexu se cernens inprasentiarum suspensus hceret. At in Car
  18. dane aequatione Cabica triradicali reperit, sat multa Exeugla sormari
  19. posse, in quibus Cardani regula radicem aliqua recuperabent; quin imo ex
  20. omnes tres radices ex cydeu regulis recperabunt, sive invenientur; exequo
  21. duntaxat labore avedente, viz
  22. Exemiptu in hac aequatione X3 = 21X = 20
  23. Radices cubica Binomione
  24. sunt, + 22 + V- 4
  25. + 2+ = V
  26. Raiis + 5 = X.
  27. muta signa partis rationalis, ut et partis radicalis, mul
  28. sipli cans eau per 3, et inferioris ruudraticae rudices que
  29. sita santi, X = - 2 = + Y+ 24
  30. X -
  31. 22 - 1 , 27
  32. Adeo ut, si ia Cardani radices excolerent, (ex considerationibus in priori esta
  33. tola indicatis) similesque aptarentur quibusvis duabus potestatibus aliaru equo
  34. tionu, insigne id augniontuo soret Algebra, eo quod Tabula multum de labo
  35. te minuunt, quae ahic ideo commemorant, ut vestrates excitent
  36. brsta ad eandem reur ex simitibus vel etiam melioribus fundamentis expenden
  37. da; particulatum vero, ut vel sallacias harum probabilitatem detegant, vel
  38. tum desideratu attunu aut
  39. Quinto subuidicatu suit in literis praegressis, Tabula siruu et Targentiio
  40. utilem sutura circa sequationes; qua de re haec notio succurrit.
  41. Si Polygonu aliquod insoribatu Circulo, et a quibusvis duobus pluributr
  42. puncte in circumferentia, intra cujusvis lateris Polygoni extrema, linea
  43. dacant ad omnia Polygoni puncta angularia, liveae ista semper radices erunt
  44. ejusdocu aequationis, Resoevendo dantaxnt variaute; pront asserit el Wdullosy
  45. in Tractatu cuo de Scitionibus angularibus types destinato. Ny ita in aequatio
  46. ne pro trisectione Aagule, senus partis srcis, ad quvui pertinebat de,

Cite

LBr. 695 · Oldenburg, fol. 33v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-860722:0066?run=74