Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 146r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 147v); this page is its right half.

The machine reads it as

  1. sro formulis quadrato vel alteri potentiae aequandis
  2. in indefinitis ad usum quadraturaam
  3. a a + bXX + CX = a aa + XXVY = a + LAAXXW + x Y
  4. fit b + CxX = 2aa v+ ∞t xX fit XX = b - 2a a:, VD =C
  5. =bc + raa v + bvv - 2aav = B () B bc + vZ = E Ges. vZ + vrZy
  6. le seu 2aa + bv - 2aa vv 2 f- bc Z + v2Z sed nihil inde lucri
  7. sit X = _ m + ny substituatur in a + bx + cx fiet sigraga
  8. a +mnys tbungu tacmuus t Beny = _5 + 2fg_ + 25L NY + 2gh t
  9. bin amnus +6mi yy 4 4
  10. CMA
  11. 4
  12. +997Y
  13. X) so + 11Y + 12H + 13V rutis
  14. seu Abenn +2cnin = 2tat + 2bEm +cm Cf- to h - va g = n: 2 10 = 1. 2614
  15. Ergo 11Y14 = 13So E N 14 + 1. = 12
  16. An seua tbm tem + Bbnins + 4b Cntus + e ce m H = b p 46 cmmfu
  17. e
  18. a + bmm L cm+
  19. ita ex aeq. D datur m, et ex a9. 0 datur n
  20. 4
  21. um +mny Hunyu
  22. Cm + 4mn y +6cmfnnuy + 4, m n’y + n y
  23. sia
  24. 1 y + 12yy + 13 2 + 141
  25. 2gy F Est y
  26. 99yy + 2ghy t hhs
  27. s = si0 h = Yi4
  28. = 11: 210 = 13:2 514,
  29. 11. H14 = 13H10 seu 11. 11. 14 L.13. 13
  30. 2Y10. 14 + 11. 11: 4.10 = 12
  31. . 4. 10. 4 = 12 - B. 11.11. 12 + 11
  32. 2.10 16.10
  33. seu (64)18.142 .91210 - (8) 10 tienit
  34. In aequ. 2. Pro 14 substituatur valor ex aeg. 1. fret
  35. e
  36. 5
  37. (4) 103. 10. 13. 13 = (16) 122. 10. 11. 1 (8) 10. 11 4 12 + 16
  38. = H0 h = si4 g = 11: 25 = 11: 2Y10 = 13: 3h = 13, 2 1 4 Ergo 11S14 = 13H10
  39. rurjus 2Fh + gg = 12 Ergo 2Yi0. 14 + g9 = 12
  40. 99 = 11. 13: 4 f10.14. Et fiet
  41. 2s10. 14 + 11.13: 410. 14 = 12 seu (8) 10. 14 + 11. B3 = g2 sionq. seu set
  42. 64. t 1 14.ubis pionsi posias
  43. Ergo (8) 10. 13. 14 4 11. 13. 134
  44. netior hee
  45. ec
  46. nittus
  47. e4 )1P (2. 14
  48. auton
  49. =13. 10:11
  50. nimia exaltatio
  51. 13. 14 = 4 CCmn 13. 13 =1bcc mm p
  52. 8aCCmF Bmm+CCMF gCm qm) + 2bmibcemm + 4 Cr i6cemm A 54
  53. Exaeq. Dhit
  54. quae dividi possunt per m
  55. =8. bb M+ 64 bcmh +9b essr
  56. sed ita video calm plane evanescere, et calculo isto nihil agi
  57. nam fit at = bb: 4c id est praesupponitur a + bXX + x essett a ibmenis
  58. 12 br6CM
  59. Ergo gradu promtto, faciamus: X = in +ny + pyy,:, q+YyY
  60. q ergo quadratm excilandum a 20 +3y + 229 4239 +t a ist.
  61. 2. 1 +(2, 20. 217 +(7. 20. 22yy + (2720. 2393, (2. 2024 ist
  62. + 2121 +2) F21. 2E +(2) 21. 23 +(2) 21. 24 1)
  63. 2bbm bemi
  64. 2232. +(2. 22. 23 +2. 27. 241)
  65. + 23. 23 +2. 23. 291 + 24. 24y
  66. +14 y + 15 y + 1b9 + 19 1 +181)
  67. a et fit 1. 11. 18. 118. + (4)16. 18. 10110 = p7. 19. 10 H0 + (4) 18. 12. 18 Y9 Et 1(410. 1217(8)10M 18 = 12.11 17 +(8) 10. 15 5018
  68. 10 + 1 y = 12 yy + 13 y
  69. ete
  70. (4118. 16. 114(8)18. 1710 = 1717. H +)18. 13 11018
  71. o eaand ntas ia tum intua r alende duo priestiam aotunde
  72. (4)10. 12. 17 4(8) 10. 1.6 tioc pedsistunt hontvatles, et mnbibantum hontuot Arormate, et pants ante duo series eotu motanda

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 146r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0291?run=74