Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 143

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: 0.77.

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

The machine reads it as

  1. L180
  2. vestabueii
  3. 1
  4. 2n+
  5. dqua
  6. 2O.
  7. X3.
  8. pE ∞ LX3-
  9. IM H
  10. De
  11. lequentet
  12. duarum
  13. 00.
  14. DXF+
  15. I (1 pcOp
  16. is vel mos
  17. fueric a
  18. et, e
  19. quam
  20. MarIOI
  21. aUII IIII.
  22. et X MB)
  23. CC LeTIM
  24. 13jore qu
  25. WX7
  26. A, O U A Y L O H U H.
  27. 243
  28. L B3 X aequale aut majus quam l x3 L m m ∞ X - L n3 X, dC per
  29. conlequens majus quam pa; ideoque x major quam
  30. imm. L m3 F n3. EInde si tuerie m rel aequalis vel major quainn,
  31. eriex necessario major quam minor horum duorum terminorum
  32. A
  33. m _ Imm. L m . f. 25; d S n tuerit major quam m, consimili ra-
  34. rione demonstrabitur x etiam necellario majorem esse minore
  35. horum duorum terminorum n et Inn. Lmmn. f , 3. Turenius
  36. ergo unamquam que duorum radicum aequationis propolitae ina-
  37. jorem esse minore horum terminorum M
  38. Emm. L. m3- f 13. .
  39. n vel aequalis rel major fuerie quami n; aut majorem minore
  40. inn Lmmn. f n3. Cin major sic quomm; at vero sem-
  41. per minorem quam l. f M + n.
  42. Prop. 4.. X + l. X3 -MMX X. L n3X L p4 ∞ O.
  43. Per cranspolitionem est lX 3 - m M X N ∞ X + - f 113X- ] p+
  44. Ideoque LX 3 LM M X x MajuS quam X +, _ lX- L m m 11I aj1S.
  45. quam xx. Jem situerit propolita aequatiorealis, erit e x realis,
  46. de vel aequalis rel major rel minor quam m. Ouod si fueriex-
  47. qualis vel major, erit lxmx majus quam x X, e l. f. m M2-
  48. jor quam u; ee multo magis, sifuerie x minor quamm. ErgO x.
  49. necellario minor erit quam l- L m. Unde li fuerit a major quam.
  50. m, eric inter holce cerminosl L m ee m. Ouod lia fuerie vel
  51. aequalis vel minor quam m, quandoquideim d l X3 -p m M X X
  52. majus est quam pt; erie lmx x - fm mx x majus quam pr; ideo-
  53. que xx majus quar
  54. Ouare quaelibet duarum radicum aequationis propolicx majon
  55. erit quam minor duorum terminorum m & V Im. F mmd aEMi-
  56. nor quain l. J.. M.
  57. By

Cite

Ps. 2, fol. 143. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0167?run=74