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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 28r

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: 0.94.

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. 27v); this page is its right half.

The machine reads it as

  1. (11) Hinc inveniri potest quid sit rationale in ae, et
  2. a + b + C+d, et in a+ b + Cx ab + C + ad + bc + bd + Cd
  3. et in abc + abd + acd + bcd, et in abcd. Nam scitur
  4. quid sit rationale in Exempli causa scitur quid sit rationale in a per artic. 9
  5. enqu quid in aa + 2ab Ejus sed scitur et quid sit rationale in aa
  6. Scil. tantum quadratum rationalitatis in Ba. sed scitur etiam per artic. 9.
  7. qud sit rationale in aa + 2 ab Ergo habemus quid sit rationale in ab
  8. Hinc quia jam scimus quid sit rationale in at et in ab, et in a + 3 ab +6abc
  9. invenemus et ex rationali in scrinus inqud sit rationale in
  10. et ab scimus quid sit rationale in a, et in a per ab
  11. facile habebimus quid sit rationale in abc. Et ita porro.
  12. Hoc etiambrevm, quia habemus quid sit satiodle in a,
  13. tl Ergo et quod in a, et quod a
  14. Hinc etiam inveniri potest quid valor ipsarm
  15. iat quantitatum cam positarum seu formarum simplicium
  16. (12
  17. seu combinationum a et, ab et abc et abed.
  18. Nam vatur quid in lis rationale per i1. sed tota sunt rationalia
  19. quia a, b, c, d sunt radices aequationis rationalis
  20. art per artic. 8. Ergo habestur ipsorum valores.
  21. Habetur ergo a, vel b, vel c, vel d er
  22. seu h; vel lvel m vel n per aequationem
  23. 13
  24. quarti gradus; per artic. 12.
  25. (14) Ergo per mudam extrtio habetur valori
  26. ipsius X purus. Nam habetur ecl a per
  27. vel b vel c, vel d per aeq. quarti gradus. Habetur
  28. Ergo pure quia pono aequationem quarti gradus jam
  29. esse resolutam. Ex hoc valore si extrahas radicem
  30. kit.
  31. puram Sti gradus habetur h, vel l, vel m, vel n
  32. adeoque X. quid
  33. e
  34. quod desiderabatur
  35. Hypothesis autem articulorum
  36. e
  37. est in potestate quia regularis ex
  38. eo ipso quod exitum praebet

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 28r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0055?run=74