Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 75

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: 0.85.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. ae
  2. M
  3. OIMM
  4. 1
  5. L LB E R T E R Y T U S.
  6. minorum ejus lint replera (ut ( locOxS X. K X K -- b ∞ O, Aquasioni
  7. desideretur AEquatio, in qua incognita quantiras (ex di- sini comple
  8. mentiones habeat, et in qua nullus terminus detic): 0-
  9. POTTeEPrimUM PEOKS X X X X - b ∞00, SCriberCKS X X F X
  10. bx∞0; deinde Facta p = a ∞ X, habeBIEUE
  11. 96 - 6 a y5 + 15447 4 = 204393 + 15a+ yy - 6a5y + 46
  12. = a b∞ O.
  13. Vbi liquet, quod, quancula etiam suppolica Fueric quan-
  14. citasa, omnia tamen Equacionis loca non delinant el
  15. Screpleta.
  16. 140
  17. Praecerea pollunt quoque radices alicujus Equatio- guomodo
  18. nis, etiamsi sint incognieae, mulciplicari aut dividi per mulciplicare
  19. quantitatem aliquam cognicam, quam libuerit.
  20. Duod tic, supponendo, quancitatem incoonitam, quarionis
  21. mulciplicatam, auc dirilam per quantitatem, quae muI radices, ipsio
  22. tiplicare aut diridere debet radices, esse aequalem ali-
  23. cui alteri. Deinde mulciplicando aut diridendo quan-
  24. citatem cognitam secundi termini per hanc iplam, qua
  25. mulciplicare aut diridere debet radices; e per iplius
  26. quadratum, quantitatem tertii; a per iplius cubum,
  27. quanticatem quarti, atque ita porro usque ad ultimum.
  28. Id quod inserrire porest, ut ad intcoros e rationales dua rario-
  29. numeros reducantur tracti, aut lape etiam lurdi, qui in nefracti
  30. SEGUALIOML TCrINIS FCPCLIUNEUE.
  31. VE BhabcatuE
  32. X3 = X X V 3 + 28 ∞ - -
  33. 2
  34. Y3 0O.
  35. dciplius loco alia delideretur, cujus omnes cermini per
  36. MUMCTOS FATIOHALES CXPPIIANEUE, OpOrceE uppOnCIO
  37. y∞ X V3, d mulciplicare per V 3 quantitatem COgni-
  38. cam secundi termini, quae quoque est Y 3; ec per IplIUIS
  39. Quaclratum, quod est 3, quanticarem certii, quae cst; d
  40. per iplius cubum, qui ett 3 V 3, quanticatem ulcimi, vi-
  41. delicet
  42. r3 id quod TaciF 93 - 399- f 259 - 8∞0.
  43. in
  44. 2
  45. Dein-
  46. Vel divide
  47. possent A.-
  48. incoenitis.
  49. lmeri oli-
  50. cujus A
  51. quationis
  52. reducantur
  53. ad integros

Cite

[Ps. 1], fol. 75. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0097?run=74