Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 29

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: 0.78.

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

The machine reads it as

  1. niIS, I22.
  2. l. 210 2
  3. 2t +b
  4. postine
  5. 2 ab + bb
  6. etumb
  7. abb. 1
  8. ulciplico
  9. EC
  10. 1 X)
  11. CX, Gut
  12. budet
  13. 1258
  14. bHicuco1
  15. in nume
  16. aa- bb.
  17. C eAt
  18. eF A F 1,
  19. ud aliiet,
  20. Oret
  21. 5.
  22. ex Mm
  23. 1n Oua
  24. ali
  25. NIA THE SEOS CIH ZY ERS A L1S.
  26. dix quadrata ex a abb est ab, ee radix quadrata ex cc estc, Pcribo
  27. proradice quae lca
  28. Fodem modo, si exrrathatur radlix quadratL ex 2t = 2 a abb f b4
  29. Aet =a- bb
  30. aa + 4 ab + 4bb3
  31. + 2b. Pari ratione ad extrahendum radicem quadratam ex
  32. 64. de X = 160 ∞
  33. 64 X X = 16OX
  34. ee radix quadratA Cx 2OO-- 16O X
  35. L64 Xx est TO = 8X, de radix quadratA ex 25 est 5; erie radix
  36. Non secus radix cubica ex
  37. 27Xb --5425- f -17144 - 188.3- f 28542 - 150X F 125 F
  38. 23. OXX + 27∞- 27
  39. 3X _ - 2∞ f- 5
  40. X-
  41. Ouod si quaesica radix praedicto modo ex numeratore atque
  42. denominatore extratu nequie, praepontur data tractioni lignum
  43. radicale V. Ut ad extrahendam radicem quadratan ex ccxn
  44. Fcribo V cc
  45. +bb
  46. FaCIECCXX = 4 abbB
  47. 4bB
  48. 4b6
  49. 46.
  50. ac in formam tractionis
  51. de ex denominatore + bb extrahi porest ra-
  52. dix, guae est 2 b: ideo quaelita radix sic quoque scribi poterie
  53. V CCXX = 40bbC
  54. Similiter radix quadrata ex
  55. aabb
  56. aa L. b63 eriE Y aa F 6b
  57. Idem de reliquis radicibus est intelligendum.
  58. DE LOCISTLCA OYANTITAEVM SVRDARVM.
  59. Clemadmodum tractiones oriuntur. ex diritione impertecta
  60. Lquanticatum, quarum una per alteram sine reliquo dividi
  61. nequIE: Ita ex excractione radicis quantitatum radicem non ha-
  62. bencium exlursunt quanticates surdae, quarum operationem se-
  63. quentibus exemplis exponere visum fuit.
  64. De Reductione quanticatum surdarum.
  65. Clencu agues guou eul aoperaltonca lacce t
  66. versa denominationis oporter prius iplas ad eundem denomi-
  67. BaL.

Cite

Ps. 2, fol. 29. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0053?run=74