Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 32r

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: 0.82.

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. 33v); this page is its right half.

The machine reads it as

  1. pars NV
  2. Nimirum fier ordinamdo: (umltiplicenda y + 2e BY
  3. P L2
  4. +
  5. f..
  6. + c y
  7. edV reβd)
  8. aβC.
  9. fβC.
  10. gac.
  11. +
  12. + fB
  13. 4
  14. ga de
  15. da
  16. ep d
  17. tem
  18. tormula
  19. per formulam per
  20. f
  21. a
  22. 9a
  23. Hoc productum
  24. agulae
  25. sui finem raginae
  26. praecedentem praecedentis
  27. itaque dubitandum nn
  28. est
  29. de calculi veritate
  30. concordat cum superiore
  31. Eodem imido fiet ordinando formula multiplicum
  32. a
  33. a V +f.
  34. performulam:
  35. Hoc productum rursus convenit
  36. cum superiore quod est
  37. sub finem plagnrae praecedens
  38. tem praecedentis
  39. possumque iterum de hac asd
  40. quoque calculi parte
  41. securi esse.
  42. b Ps.
  43. Cf i
  44. ad
  45. bse
  46. Be.
  47. dae..
  48. ex
  49. Absolutis ergo destructionibus, restabit Numerator totalis,
  50. in quo literae a. βB. cognitae: HY)
  51. literae autem e er 9 pendent a f.
  52. ac proinde explicandae, si fquaerimus.
  53. denique, b. c. d. sunt indeter-
  54. minatae a se invicem indepen-
  55. dentes: quas tentemus determinare,
  56. +EBC V + rest V +ed
  57. = bBf.. + eβc. +Ada nempe
  58. + 2bBg.. + bβ9
  59. b5f.. + cBga
  60. confeundo cum superiore numeratore seu formula... - - . C V + LaV + lae
  61. et l quoque p 1
  62. Exprima cullatione fiet b r = eat eBC. Exsecunda: +2eβd as+ eB cf + 2eagfre(C9+ reas qu (e
  63. et fiet C haf =2eβdaf. réag réaps L
  64. eB +sBda + C a β 9 = e3 c9 + cBga la. Quoniam vero
  65. quaerimus d, et in C latet d, ideoque Cper brachylogiam ita expripbmus: CH mat = 2edaf, adeoque
  66. +eB ana 3f + fBdana Bf + e’a βg na3+ eB Mags res eβ dat9 + maBgaps dat gapf, lana f
  67. Posito ergo. f. esse quam libet cognitam
  68. a cornita eruti
  69. m. n. cornitae erunt, eb i
  70. eritque d la naβf- Caβgna = ∞3 matus + ma ga β.
  71. ed
  72. L
  73. (C9a.)
  74. bf..
  75. Let.)
  76. F
  77. ge
  78. Et quoniam daec
  79. duo producta
  80. contranis
  81. Signis
  82. afficiuntur
  83. destruantur
  84. quae conve
  85. niunt

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 32r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068022:0063?run=73