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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 130r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 131v); this page is its right half.

The machine reads it as

  1. Quantur ( (du ((2 + ab7 Z + aC) M3 N. posito M et N
  2. esse formulas rationales integras utcunque p secundum Z. seu quaeritur talis
  3. Quadraturae reductio ad rationalem. Reperi hoc praestari rationem ex formula
  4. aggregatum duarum
  5. quantitatum radicalium, ubi radix non sit extrahenda expenore, qui assurgat ultra 23.
  6. mula
  7. VL
  8. Ponamus Z = O + D et sit O = L(10 a 2P + 1 aa) et D = (20 a + 21 aa)
  9. =(0 +60ODD+ 490505
  10. abzZ = ch ab(00 + 3D) + 22ab 09
  11. aec =l
  12. quos duos valores coincidentiando, fiet ob O8 fiet, ar = 2 (001313
  13. 12. 12
  14. et aarr = 21284 1. 2
  15. 12 12
  16. aarr = a -12. 1OOD + ab 00 + ac
  17. 4
  18. HHine et comanude venin posit ad extractionem feat
  19. ubi non licet faere 4: 12. 12 = 1 alioqui fieret 60D) aequalis constanti. Ut
  20. aarv = ( 12. 12OBDD + 2. 12 ar6)
  21. egol rttamu aequationem extrahibilem, faciadiu
  22. + 12. 12 -6 (() + ()C
  23. 3t + B2. 12
  24. 54
  25. DD
  26. +
  27. aarr
  28. Ordinata aequatione fiet
  29. ut ergo ad extractionem pervenire possit non explicatisoD et DD,
  30. 73. 12
  31. aabb - ac
  32. + ab
  33. 12. 12
  34. 1
  35. ponaturse
  36. + 12. 12 -6 =4)- 2 et fil 12. 12 = 6
  37. sed video hoc non licere, sic enim O et D plane in aequatione
  38. 12. 12
  39. seu 1h. 12
  40. aestruerentur, et fieret
  41. aabb- ac = 0 contra hypothesuu
  42. 13. 12
  43. 4 12(2 - 6
  44. 12. 12

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 130r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0259?run=74