Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

LBr. 943 · Tschirnhaus, fol. 16r

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: 0.86.

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. antele
  2. mimum Tisi debeo, quod tantum laborem mea causa sumsisti
  3. et fuas circa Radices aequationum pulchras sane meditationes tam
  4. exacte descripsisti. Statim eas intellexi, et deprehendi superesse difficul
  5. tatem maximam quae et me olim remorata est; imo quam ea cui
  6. Institisti via insuperabilem arbitror; quod TBi quamprimum
  7. scribere volui, ne forte inutiliter labores. Tota res r huc redit
  8. posito Radicem aequationis quaesitam habere partes aliquot, exempli
  9. causa X+y. vel X +y + Z. etc. observaveram jam olim
  10. et fortasse primus radices irrationales altiores exemplo Cardanicarum invenir
  11. posse. Ex. causa
  12. sit aequatio
  13. fit R aequ. 5 4 + 9 + p +
  14. s
  15. X +5 pR + 5P R aequ. 9
  16. 4- 4+p e aliin
  17. si posito R aequ. X+y. invenietur enim esse
  18. X aequ. V 4 + Y4 + p6 et y aequ. Yg -Yqu ps. Et haum aequa
  19. tionum hoc modo progressionem in scheda quadam descriptam olim cum
  20. 2 StlubEsium
  21. Parisios venires Tibi ostendi. Sed radice in tres quatuor aut ptures
  22. partes secta, quod pro solutionibus aequationum plus quam lubicarum generalibus
  23. necesse est, major est difficultas. Ita autem me jam olim Parisiis pro-
  24. cessisse in schedis illic scriptis, in quarum nonnullis et manus tua est, reperi.
  25. sit R. aegu. X + y +Z. et aequatio data R aegu. PR + 9R + s.
  26. comparanda huic: R aequ. X + 4 X3Y + 6X
  27. 4
  28. 324
  29. Hanc posteriorem autem
  30. 2
  31. + 12 X y
  32. 2 comparationis gratia
  33. varie exprimi posse constabat, nunc per potestates, nunc per rectangula
  34. nure ea invicem miscendo. Reperi autem rectangula universalissime et commo-
  35. dissime propter rationem mox dicendam adhiberi adeoque
  36. etionem
  37. posteriorem sic resolvi: R aequ. X 4xyR - 8xyZ R+
  38. quoniam inde comparatione recte instituta
  39. ye
  40. has aequationes comparabitias xy aequ. P. X
  41. X
  42. e
  43. rest
  44. ago
  45. ota
  46. et Xt + E aqu. s+. Comparatio autem recte instituenda est, est
  47. c

Cite

LBr. 943 · Tschirnhaus, fol. 16r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 79). https://leibnizlegible.com/page/DE-611-HS-867509:0031?run=79