Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 86v

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: 0.79.

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. 87r); this page is its left half.

The machine reads it as

  1. ex. gr. si 30 sit constans etit
  2. une (16t
  3. ut sit 30y9_ idem quod 320yy, erit 314)
  4. = 3I1Xy + 310aV et 32aa = 3~ 302XX + 30IaX 4 300aa
  5. 4320477
  6. Sin 30 yy sit = 321X9y (erit 3Iay = 312XXy + 31IaXy + 310aay
  7. ita
  8. et 32 aa = 303X + 302aX + 301 a X + 900a
  9. ubi 300, 3dd, 2301, etc suntconstantes
  10. Itaque Eos valores pro 21pt22, vel 31730 es 22:30 substituendo
  11. et 12 repertis
  12. in valoribus Ho
  13. EmbabuO
  14. valores a et 12 ad communem
  15. s
  16. es reducendo
  17. 0
  18. denomnalorem qui potest fieri = 10. habebimus
  19. et jam H. et 12 et quidem alteratque aliter prout
  20. 3oyecassurgit ad ryu vel ad xju vel ad Xyy
  21. en
  22. de
  23. et ita porro. Et pro quolibet ita gradu habebitur sanon
  24. 320yy
  25. quadratorius sic si β309y sit _effiet 30 conslans
  26. eisen
  27. d21 = 318: 320 et
  28. e
  29. i et 31,31= 311X + 310a, 320
  30. a 22 sert 32 : 30 -= 302XX + 30l aX + 300aa,: 320da et
  31. 22 = 2, 302X + 1. 301a, : 320aa
  32. et fiit 1=
  33. 10
  34. 113 X + 310. 3Ia -
  35. 3207a
  36. E
  37. e.
  38. 2. 2
  39. X311’aX + 310. 311aa - 2
  40. 329 aa
  41. +6D + 3I13aX + 310.31aa
  42. ==.(302. 3IIa X
  43. 302. 311 aX +2. 1. 301311aa
  44. 02∞ + 2. 1. 301 a
  45. =2. 329.301. 311aa
  46. + 3dD. 3I1’ a X + 320. 310311aa
  47. A32o3OraX - 2. 326.301 aa
  48. 329aa
  49. 820a
  50. jam pro valore ipsius 12 erit, 421. 22 a = 4302. 311X3 + 301. 31IaXX
  51. +306. 3IIaaX + 3∞2. 300axx + 301. 310aa x + 310. 3104,: 320. a
  52. et L1 = 3W X + 3. 311= 3IOAXX + 3. 311. 310a aX + 310a,: 320’a
  53. et 10. enb
  54. a
  55. C pive
  56. 1o
  57. ducto in dalor (ipsius 421. 22a - 21.
  58. et II. erit numerator ipsius 11 ductus in valorem 421. 22a-2)
  59. 12 pagina
  60. O
  61. oblata
  62. et 12 erit numerator qui in valore ipsius
  63. superiore posito sed explicato, orietur
  64. ergo aequalio data ad Y et X 4 figurae quadrandae
  65. exaltabitur multiplicaudo per albitrariam formulam sits.X O
  66. donec Canonicae frat simplis, et ita constantium deoefficien
  67. tium valoresquaerantur. Hinc etiam apparet

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 86v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0174?run=74