Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 174r

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.

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. 175v); this page is its right half.

The machine reads it as

  1. Radicalibus, (E calia Occurrane) ita tamen ue quantitas y extra vin-
  2. culum generale non habeat Fixponences diversa Denominationis;
  3. ab exponencibus ejuldem, qui sunc sub rinculo: Exprestio sicre.
  4. ductae mulciplicotur per quancitatem y: Et apponantur omnes P0.
  5. teltates (quancitaris y) quae lub maxima producti porestate concinen-
  6. tur; tales autem, ue P’oceltares appolux habeant exponentes eju
  7. dem Nacurx ec Denominationis cum exponence maximae Potelta
  8. eis in producto: Afliciantur hi cermini coetsicientibus b, c, d, e,
  9. f. _c. quancitates incognicas Denorancibus; erune hi termini (qui-
  10. bulris sionis connexi) altera pars aequationis quaelitae, cujus altera
  11. est ax-CMg, vel lalcem quaesitam eminencer concinebic. ACque
  12. hoc Faciendum est, sire exponens maximae porestatis sE aFrmati.
  13. vus, seu neratirus, integer, seu Fractus: VESi ralor linex PMI
  14. (Teu MC.) in y mulciplicacus habenc v maximam Dignitorem
  15. quancitacis y extra vinculum, apponenda lunc, omnes Disnitates,
  16. quarum Exponentes continentur sub 6; erune icaque termini ap.
  17. Donendi g, y, g, 9, , 3, V (= 1): Vel Rreperiatur in PrO.
  18. ducto y extra rinculum, erunc termini apponendi, g-6
  19. 3
  20. 0
  21. C = F): Vel Ry Sic maxima Dignicas
  22. in producto extra vinculum, erun cermini apponendi y, 9
  23. 2
  24. 3γ3)
  25. 2
  26. r Y (= 1): Vel denique sic maximus produci ter-
  27. minus y 3, erunt pocestates apponenda y 3,
  28. 33
  29. 3
  30. 1
  31. y
  32. (=1). Fx aequatione hoc modo consticura inrestioe
  33. cur valor analscicus interceprxe PMI per L eibnicii Nechodum in Actis Pap: 167:
  34. Erudicorum explicatam; ex comparetur ejus ralor sic repercus cum An. 1684.
  35. valore ejus dato, secundum cognicas Comparaciotum L eges d Car-
  36. celio expolitas, unde nora aequationes relultabune, quae coefticien.
  37. ces b, c, d, e, _c. decerminabune: Et coelaciencium valores in
  38. aequatione substicuri aequationem quaelitam praecile constituents re-
  39. jectis iis terminis, quorum coefficientes nihilus rquales inveniuneur.
  40. rel ablurdum inrolrunt.
  41. Schol. Sicubi ordinatim applicata MIC, vel interCEPtA PMI ad
  42. simplicissimam Formam reducta habeac divertas pocestates quanci-
  43. tatis y extra rinculum universale, tum apponenda erune porecta-
  44. ces lub sinsulis concentx: Vel si plura habuorie rineula composi.
  45. ca, cum quod hic cum uno faciendum praeleribitur, cum reliquis
  46. paricer teri debet. Seguencia Fxempla hxec omnia illustrabun.
  47. Lxempum

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 174r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0349?run=74