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Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 36r

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

The machine reads it as

  1. od erembi. 167d
  2. In praecedenti divisimus per aequationem sim
  3. plicem seu infimigradus, et constans dividendi
  4. compendium reperimus, hunc et dividamus per
  5. X+ bX +CX + d +X
  6. X + pX +4)
  7. X = pX = gX
  8. = b X - bpX - bg
  9. bptx
  10. +piX +poX
  11. eotio retur
  12. n +ba
  13. progredi possumus udt .CX, (pX C9
  14. Y pro 4 etsi et si
  15. adjectus Y tunc adjctef e
  16. ddotu
  17. n
  18. bo
  19. X +pX +9
  20. + p
  21. uraq ita norvat e
  22. +b- p
  23. ApX +p X+p9
  24. X +pX aq
  25. X - pX -9
  26. sultima
  27. aquationem compossitar. secundi gradus:
  28. =X A - pX - 9
  29. X +
  30. penultiB bX
  31. Dividendi compendia
  32. X + bX + c + _1
  33. X + pX +q
  34. L
  35. L
  36. Divicendus: X + bX +C
  37. divisor:
  38. X +pX +q
  39. quotiens.
  40. 1.
  41. Residuus: + b X +C
  42. =1
  43. (2+ Dividendus X+bX + CX +d
  44. LC) avisor X +pX+q
  45. expressa scheda htia X = bX + CK+dX + e
  46. s
  47. quotiens pi X +b
  48. Residuus:
  49. +pV
  50. +d
  51. t∞R F +p4
  52. -b
  53. tit B. dinsas
  54. b.1.
  55. c.2
  56. P.Z
  57. utile pro
  58. literis non
  59. numeros
  60. adhibere
  61. Dividendus: Xebxtxt
  62. divisor: X +pxtq
  63. sustrens X+bX+C
  64. e
  65. c-g- bp +p
  66. sianus:p
  67. Sequitur. ita formatur primus +bp
  68. terminus residui. secundu
  69. terminus residu eodem moda
  70. fonmntet ex trominis quotientis
  71. mutritis scilicet signis, s
  72. quotientis in prino residni u
  73. cp
  74. +pa
  75. a
  76. + bpes
  77. ie
  78. diasn u bBX +BB B.9. r. eke. mulciplicati, in secmudia dresidui multu
  79. eantur per g.r. siliet naminum sejam per c
  80. e+
  81. Ermia
  82. et uts exhause
  83. Radditur sequem ior
  84. nitea disidene
  85. quotientis semper vatur CX, is autem g. diferentia
  86. exponentium summorum terminorum, dividentis et dividendi vato jam primo
  87. odditur sequenties per agnim inventam. Primu autem cognitu quantitas intelli
  88. a esse unitas. Termin in ResiduO fer formuntur ut termini quotientis
  89. um residuus est terminus cuius exnonens o-ia, o- 2. etc.) primus Residui terminus fere for
  90. niturnt sequens quotientis deberet formari si is qui in eo ultimus est, ultimque non esset
  91. Nm ulsimus quotientis forultipicatur per secundum divicorit ielum
  92. ita porror penultimms quorientis per terrium divisoris etita pono signa
  93. et
  94. sin
  95. poricedenti termine residm +4X a quX +42 hoc tantum disemmine quodtermini
  96. p
  97. auta qu
  98. entus
  99. uttimo depidendi, ultimo quotientis addituma
  100. semper ut dixi mutatis. His exhaustis aoditur ille terminus dividendi. quiterimi

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 36r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068241:0071?run=74