Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 45

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: 0.80.

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

The machine reads it as

  1. a, de t
  2. lepucde
  3. 10 uuque
  4. aio prO.
  5. Ali
  6. per CM.
  7. NACOLLM
  8. dmInatO.
  9. 15ad Can-
  10. omncendo
  11. Deu.
  12. Opetut.
  13. mnacu
  14. educi pot.
  15. inacotm
  16. AC pFOIU
  17. AAZ
  18. DUmCCa
  19. ote
  20. irest
  21. 22-
  22. licandop
  23. sit
  24. MIA TH ESE OS IINLVERSALIS.
  25. 22 f a2 ] a =, unde multiplicando per crucem, invenieryr
  26. XquatiO 2 ∞ bZ Z - abZ = a a b.
  27. Ad lXC SI PEOPONatuE V Z ae quari 5: quoniam x qualium a qua-
  28. lia quoque lunt quadrata, cubi, ecc; hinc liutraque pars in le mul-
  29. ciplicetur quadrate, habebitur Z ∞ 25. Sic ee Ci Tuerit V Z ∞ V 5:
  30. dueca utraque parte in se quadrate, fet 2 ∞ 5. Pari ratione (I V Z
  31. XqueTUEY a ab =b, erit Z ∞ a a b - b. FIaud secuS (I FuCrIEV C. 2
  32. ∞V C. aa bb - b, tiet, utramque partem in se multiplicando cu-
  33. bice, Z ∞ a abb - b. FFhC de aliis.
  34. De Reductione per Divisionem.
  35. D OAtea Sidetur ZZ ∞ 4 Z: quoniam, aequalibus per requalia vet
  36. L idem dirisis, proveniune aequalia, Fc uE, Si utraque pars diri-
  37. datur per Z, Oriatur Z ∞ 4. Sic ee Cihabeatur 2+ ∞ 4 Z3 - f - bbZ 2, di-
  38. videndoutrinque per Z Z, tiec Z 2 ∞ aZ F b b. Similicer tc, li propo.
  39. RaTUF 3Z ∞ 12: etenim Ci uerobique diridatur per 3, proreniet
  40. 2∞ 4. Fodem modo lituerit a Z ∞ ab, diridendo utramque par-
  41. tem pera, Hec Z ∞ b. Nec alicer Ci habeatur a x -- b x ∞ bb, orie-
  42. tuE, dirisA vErAquE PartC PCTA =b, X ∞ =-7. FTaud SeCUS SI pFO- PaB. 143,
  43. PONATUTAZZ F - bZ Z ∞ ab 2 - f bbZ = a bb - b3: quoniam u- 1B. 27.
  44. traque pars diridi potest per a Lb, Orietur ZZ ∞ b Z = bb. Sic 8
  45. SI FICrIEAZZ = bZ Z ∞ a a Z -- bbZ L abc, diridendo utrinque
  46. Per a - b, ACEZZ DaZ F bZ +
  47. abc
  48. abc
  49. = (eu 22∞ + B~ F a b
  50. Fluc reterendum quoque est, cum bina ae quationis parres, juxta
  51. modum p. 34. octenlum, re duci pollunt ad simpliciores terminos.
  52. CE ( Tuerit aquatiO InEEF aZ +- abZ 3 L abbZZ _ = ab2 3. - 2abbZZ
  53. 2ab32 F ab: diridendo utram que partem per maximum com
  54. munem dirisorem aZZ- abZ L abb, OriCtUE ZZ ∞ bZ ] bb.
  55. De Reductione per Fxtractionem Radicis.
  56. Enique ad reducendum Z2 ∞ 25: quoniam aequalium qua-
  57. dratorum ac cuborum ec. aequalia quoque lune latera seu
  58. aliteCs, uC, h ex veraque parre excrahatur radix quadrata, Pro-
  59. venide

Cite

Ps. 2, fol. 45. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0069?run=74