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Leibniz-Handschriften zur Mathematik LH 35, 3 A 37, fol. 1v

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.

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The machine reads it as

  1. Veriamus ad exemplum.
  2. 10 + H1 X + 12 XX = mult plicetur per 30 + 31X
  3. 20 + HIX + 22 XX = 0 multiplicetur per 40 + 41 X
  4. compositum ex duobus productis erit.
  5. 10. 30 + 11. 30X + 12. 30 X X
  6. 10. 31. 11. 31 .. + (2. 31X C=O
  7. 20. 40+ 21. 40.. 27. 40..
  8. ubi 12,22, 31 poni pissunt = 1
  9. et 41 = - 1
  10. ubi ut destrnatur X, fient
  11. aquationes tres
  12. 10. 30+ 20.40 -0 11. 38+10.31 1-0 12. 30 + 11. 31
  13. 21. 40+ 20. 41)
  14. 22. 40 +2. 415=
  15. 20. 41.. 21. 41.. +. 22 4I.. 1 nam quarta 11. 31 + 22. 91 =0 per s. patet
  16. posito 12, 3122 =1, et 4= - 1
  17. Harum trium aequationum ope tolli possunt incognitae assumtitiae, 30 et 40
  18. coefficientes ipsins 30 sunt 10, ut,
  19. 40 sunt 20, 21, 22
  20. Nextrins nempe ipsius 1
  21. coesticientes sum
  22. 0 10-20, ((- 21
  23. seu compendio 0, E1, S+
  24. Habemus combinationes cum suis
  25. incognitis assumtitiis pariter ac litera,
  26. 4 10. 21. = 10. 22.54
  27. Unde fiet
  28. = 11. 20.54
  29. +10. 11 (2)
  30. L10. 21pI
  31. (0. 11-20
  32. + 12. 20. 51
  33. (10 Mes. 2
  34. 10. 24. X
  35. 410. 12. 2
  36. O
  37. signis debitis (ae quationem
  38. carentem
  39. ubi 12 et 22 = 1
  40. et 51 = 10-20
  41. et 52 = 11 - 21
  42. + 10, 19. 21 = 10. 10. 22
  43. = 10. 21. 21
  44. et ex i1s
  45. + 10, 20. 22
  46. = I1. 11. 20 + 10. 12. 20
  47. posito si placet
  48. Li. 2020
  49. +1I. 20. 21 = 12. 20. 20
  50. 10 +11 +12XX + (3X + 14X multiplcetur per 30 +31X + 32XX 133X.
  51. f10. 21.E
  52. 90+ 41X + 42XX + 43X
  53. ubi 14, 24, 33 =1 et 43= -1. componendo producta in unam aequatione
  54. et 20+ 2X +22XX +23X + 24X ....
  55. fiet 10.30 + 11. 30X. + 12, 30XX + 13 P30 X + 14. 30X
  56. 19. 31
  57. 20.40 +21.40
  58. 3
  59. 2041
  60. 10. 32
  61. 22.40
  62. 21. 41
  63. 12. 31
  64. 20. 42
  65. 10. 32
  66. 10. 33
  67. 23140
  68. 22. 41
  69. 21. q2
  70. 20. 43
  71. 13. 31 + 14. 31 XO
  72. 12. 32
  73. 11. 33
  74. 24. 40
  75. 23. 41
  76. 22. 42
  77. 21. 43
  78. 13- 32
  79. 12 33
  80. _+24 A
  81. 22142
  82. 22143
  83. +14, 32X.
  84. 13.33
  85. sut septem aequationes, quibis tollendae sex lilerae 30, 31, 32, 40, 41, 42; nam
  86. et 43= = l unde, quia et 14 = 24 = 1 fil 14. 334 29. 43 20 per se
  87. unitas habet coefficientes 0 0 d 10-20 1- 21 12-22
  88. Seu q1, =4l1
  89. seu compendro, 0 0
  90. d
  91. 0
  92. 20. habet oefficientes 10 11 12 1 13
  93. 31
  94. a
  95. 10
  96. +1
  97. --
  98. 0 10
  99. O c
  100. 11
  101. habet Coefficientes 28 21 22
  102. = a a 12 2 0 20 21
  103. 12
  104. 52
  105. 22
  106. 0 20 21
  107. 24
  108. 13-28
  109. 3.3, coefficetiulbo
  110. demila linga t. pteo
  111. 4222 0
  112. linea prima et columna ultima, cam 52 omnes sentone ex coefficientibu demta linea l et est penult. ex
  113. abilitat dervo habit tres notas sinistias, isst tres motus sinistras 2 sutama adtatrum deptrarum est 9
  114. t22
  115. 3
  116. d
  117. 14, 33X
  118. 24435
  119. 5
  120. e+
  121. 8C
  122. 24. 47
  123. 23.43
  124. f.L. 73.23
  125. vcluditur
  126. 1423

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 37, fol. 1v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068250:0002?run=74