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Leibniz-Handschriften zur Mathematik LH 35, 4, 16, fol. 4v

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. 5r); this page is its left half.

The machine reads it as

  1. 10X + =0 20X + 21X 12 = 0. Ex mulliplicando per 20X. fit 10, 20X L 11. 20X=
  2. et 1 2 muslipilicando per 10 fit 10020X + 1021X +10. 22. Ex Tot 4 fit HO. LIX +.0. 2
  3. Ex het 4 fit +10. 2IX + 10. 22 =0
  4. ~ 11. 20.
  5. 1820. 1 U
  6. 2ox 10 X + HX + 1220 et 20X + 2X +2220. Quaerabur
  7. communis divisor
  8. 20 X + 21X + 22)C
  9. - 10. p = 10. 22
  10. =10. 20, 21
  11. = 10. 21.21 =10,21. 22
  12. (+11. 20 XX + 12. 20
  13. = 10.4 ct - 10. 22
  14. =12. 20. 2DX
  15. 1821.
  16. + X + ZIX +227
  17. uveta
  18. -10. 21 X = 10. 22
  19. epoit
  20. cn
  21. Rem., 11. 20 A + 12. 20
  22. divisio 1
  23. 10X + 11X +
  24. 20 X + 21X + 22
  25. 10, 21N - 102
  26. divisio2
  27. 20 sub quotins 1. p AeSId. 1.
  28. + 20X +4L+ L
  29. +11. 20. 21 X + 11. 202
  30. =10, 21, 21
  31. (+ 1. 20 FR F 12,20]
  32. 10.io
  33. - 12. 20.20
  34. + 10, 20. 2
  35. + 10. 21. 22
  36. fl. 201X
  37. + 12. 2C
  38. = 10. 2
  39. b90oti
  40. 410. 412
  41. +1I. L0X
  42. -10.2.
  43. 10. 25
  44. subquoti2. Resid 2.
  45. + 11. 20.21
  46. -10. 21. 21
  47. -12, 20. 20
  48. + 10, 20. 22
  49. +11. 20
  50. 10. 21
  51. =120.
  52. +10. 20.
  53. 71. 20
  54. =10, 21
  55. L0X +2IX + 22
  56. sub quot. () subR etid. 1
  57. 2190X
  58. Resid. seu subsesud
  59. +2213030
  60. 2l. 30. 31
  61. Resid.
  62. +20. 31. 3) absolutum
  63. Itaque ab hoc video esse incipiendum ut habeamus catulogos seriem quohentum
  64. et Residuoum simplus simplicum ivrsionum
  65. subquoti subresid. Y
  66. 10 X + 11 10 ensit 21. 20
  67. 20X + 21 20
  68. -10. 21
  69. subquot.t ( sub Besa. 1
  70. Zootiens Resict.
  71. AII. 20
  72. R-10. 21
  73. 20 Y. 242
  74. ubgu2 subhresi d. 2
  75. 10X + 11 X + 127 10X (I. 2OX + 12. 1 Vl. 20 +12, 20. 20
  76. 20X + 2)
  77. to. 2.
  78. ~ 10.2) - 11. 20, 21
  79. (20X + 211
  80. b90.)
  81. =H. 20. 21
  82. L+10. 21.41
  83. 20 +10, 21, 21
  84. subresit.
  85. 1. 20X = 1, 20 H,1. 20
  86. 10. 21.
  87. 20 X + 20 n( 20
  88. (quotiens (Resid.
  89. J 11262521
  90. 410464121
  91. (+ 11. 20 (12 20. 20
  92. 3-10.21 - 11. 20, 21
  93. 08 410 21. 2)
  94. 20X + 20.41
  95. subqu. sibre sid. 2
  96. Sabq) tubr.
  97. IOXHIX + IX +13) 1X+1 2O X +n. WOX + 13. 20) + 11. 20 X 11. 20. 20 X + 1. 20. 20) 1ibo 11 3. 202d20
  98. 2X+ 21
  99. 20X + 21
  100. = 11. 20. 2X
  101. 2410. 211.
  102. ~H. 20. 21
  103. 20 +1021, 21
  104. 11. 2d21 iZ. 2C. 20. 21
  105. 20 erit quohiens 10X +11. 20X + 122020
  106. Ita habemus progressum
  107. nam quivis quotiens componitu seraetentermi
  108. (410. H. 1 + 11. 28. 21. 21
  109. (20 X + 21 20 - 10. 21. 11. 4
  110. 10,2 = 11. 20. 21
  111. 20 +10. 21. 21
  112. ( 12. 20, 28. 25
  113. oiri
  114. Riesiduu
  115. C 205 et 113. 20. 2020
  116. 212. 20. 20. 21 l: 20X + 20. 21
  117. + 11. 20. 21.
  118. 21. 21. 21
  119. habet cvefficenties terminorum primo inferiorum, eosdem cum residuis omnibus praecedentibus
  120. Residuus autem sit pro X ponendo 2
  121. 10x +uX + 1X F 1F Ex B. B 120 X = M. 20X411 10 f e X. Ars d. 1 10 20
  122. 10x + 2 21)
  123. se ternitit
  124. 2130 X F n. 307
  125. copendio
  126. dok is
  127. 30x+ 31)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 16, fol. 4v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068013:0008?run=73