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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 177v

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: 0.84.

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The machine reads it as

  1. optium ratio tollendi literas
  2. sit 1m + 21 = 5
  3. +1. 12m ff2. 12n= (. 12
  4. =2. H1B 2. 121) = - 2. 15
  5. 1m + 2n + 3 = 5
  6. Um + 1Zn + 13p = 15
  7. 2 m + 22n +23p = 25
  8. + 2. 2, H1. 21
  9. + 1. 1. 1X. 22
  10. = 1. 2. 12. 21
  11. - 1. 2 11. 22
  12. iI m 4 12 = 15. Protollenda.
  13. M = 45. 12,1.12
  14. =215 -2.11
  15. +2. EIn =
  16. = 1. 2. 15. 21
  17. = 1. 5. 1. 22
  18. 4 1. 1. 15. 22
  19. C1
  20. 1m + 2n + 3p =, 5
  21. 1 in + 127 + 13 p = 15
  22. 21 im + 22p + 23 p = 23
  23. +ia m + 2an + zapsa.
  24. + 1b m + 1bn + 1364 5b
  25. =21C m F22cn, +23Cp (25C
  26. 1 a + 1b 421C =0
  27. una
  28. CB 2n 5. 11
  29. 1. 121
  30. -1. 22n
  31. 4 ∞z. 5. 11. 21
  32. en
  33. =1815
  34. +5. 21
  35. - 1. 25
  36. protollendis
  37. literis dua
  38. bus, datis aequatioibus
  39. tribus. Tres aequatione
  40. propositae 1. 2. 7. multi
  41. plicantur per abbitrarias
  42. a, b, c. brientur tres
  43. aequationes nova 4,b
  44. 1 ex illis composita in qua
  45. ut tollacau quos termines, m et
  46. (b2a+126422C =0 orientur duae aequationes sine m et n’ou
  47. a21(C, fit Hii2 12a + 2. 12G = 2. 12. 21C r o
  48. ollenda est una litera
  49. sit +1. 12 a = 2C, 12. 21 c nempe agg. 5 et 6.
  50. = 2. 11 a
  51. Ergo a =
  52. n La
  53. = 11. 22
  54. + 12. 21
  55. quarum ope tollendo unum
  56. literam a habetur valor
  57. = alterius b (adeoque et ipsius
  58. =+C. 22 C manente c arbitraria. ita subtatio
  59. duarum literarum reducta est ad theorema
  60. =2. 11 aptea inventum pro sublatione uniqus, et
  61. +1. 12
  62. ita porro
  63. Im + 2n =5
  64. Y1 m + 12n = 15
  65. + 1m + 2n + 3p = 5
  66. +DM + 1ZN + 13p = 15
  67. = 2 1 m + 22n + 23 p = 25
  68. sit 2.11 b = +2. 21c
  69. = 1. 22
  70. ita sublatio duarum m n, reducitur
  71. 1. 12.
  72. fit (12. 11 n + 5. 11
  73. ad sublationem duius a
  74. si ergo C= 1. 12 = 2. 11
  75. = 1. 12
  76. 1a FHOD 2IC()
  77. el
  78. c. 15
  79. 2. 11 = 1.
  80. 12. 21= 1122C
  81. abq
  82. 1. 12 = 2. 11
  83. 42. 11.2)
  84. fiet a = 12. 21 - 11. 22
  85. Ergo P = 5, 1221 -, 11. 22 + F 1. 15. 22-2. 15. 215=1. 2.2F
  86. b = 1. 22 = 2, 2]
  87. 3, 12, 21- 3. 11. 224 1. 13. 22 =2.19. 21 42. 11. 2511225
  88. 12
  89. pro5 scribamus 49; pro 15, - 14 pro 25 sculmu 244
  90. P: 9= 4. 12. 21 4 4. (11. 22 ol. 14. 22102147150, 1147
  91. 03. 12. 21-0311. 39101. (3. L1 -02. 15, 21+02, 13 - 01. 12. 23
  92. ms
  93. nominatire O, 1,2
  94. fiet
  95. 0 posteriores semper in nneralore 1. 2. A compo
  96. 1+ a nant in numpralore vel
  97. utcunque transpositi, quia in nominatores 1. 2. 3 ulcunque
  98. in et n remoti
  99. est pro p, quiade nominator mulliplicat p
  100. ccanspositi, quia 1,2 sunt met
  101. 40 proq quia minerator mulliplicat a
  102. osit
  103. Hint methodus generalis pro ntollendis
  104. habent
  105. ampertigua i i in quibus Jum
  106. lit
  107. rodisferi
  108. out 4. .2 et
  109. ndifferum
  110. sct a 4ve
  111. 1
  112. 4 est pu
  113. 2a +12b422C
  114. atet
  115. c

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 177v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0354?run=74