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Leibniz-Handschriften zur Mathematik LH 35, 1, 30, fol. 20r

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. 17v); this page is its right half.

The machine reads it as

  1. exprimo X3 F2XEy + 5x yt, ubi per x3 intelligo
  2. omnes cubos ex literis X, y, Z; per X2y omnes
  3. quadrato simplices exiisdem; et ita porro maliis
  4. Unde multa generalissima theoremata condinos
  5. sunt, quae locum habent quantus cunque sit nu,
  6. de
  7. merus sit literarum ex or: cubus ab XFG + 2 + Wdc
  8. sins
  9. sed cubo quadratus cum scilicet à majore incipio seu compendiose cubus X est X3 + 3X2y + 6XyZ.
  10. conge aliud mihi desionat, nempe formam pro unde in specie explicando in quatuor literis cubus
  11. ab X +y+ 2+ W0 est 43 +3X2 y46y Unde si plures essent literae, verb gr.
  12. essent literae o
  13. 23 3x2Z Exiu ex septem, decem eo immensa oriretur
  14. 13 3X y2 6XYW
  15. immensaorietur. W 3 3XZ2 byo moles membrorum quae tamen omnis
  16. C
  17. quae tamen omnis
  18. ype ex gebxy
  19. primitur
  20. inter literas
  21. 3X 10
  22. 3X 102
  23. 3y28
  24. 3yX2
  25. 3yW0
  26. 5G W2
  27. f22W0
  28. 32102
  29. F3Xyt bxi)
  30. sufficienter exprimitur
  31. is
  32. il
  33. benesiclo iustitiae inter literas
  34. observatae.
  35. Interdum lex justitiae propria observatur nr lite
  36. eas quasdam et rursus alia propria nir alias quas,
  37. A. S
  38. dam literas in caltulo occurentes ut sisit formula tae tazisrol
  39. alqas
  40. b
  41. 64
  42. y 4 ab xy, patet x et y servare justibiame
  43. inter se item a eb etiam servare justitiam inter
  44. se et si a et X (V. or) interse jurtit ian non servent.
  45. vero
  46. Equationes ut id obiter addam etsio sit plane
  47. sujus coci: duobus modis jurtitiam servant, uno
  48. si oibus quantitatibus ab una parte positis et
  49. nihio posito m altera, oritur formula observas

Cite

Leibniz-Handschriften zur Mathematik LH 35, 1, 30, fol. 20r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067992:0039?run=39