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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 181r

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: 0.73.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. t.a
  2. e
  3. Productom ex forma in formam
  4. ala e
  5. s
  6. Numeri formae prodeuntes semper praevideri nossunt, et coefficientes inveniri ex
  7. combinationibus. Ex.
  8. d
  9. .
  10. 2
  11. 2
  12. a 12
  13. )4
  14. 4132 4
  15. ab in abc fit. abC +. abbcd tmabede t. a b c +. a bc t
  16. abcd + abcde +a
  17. a
  18. ea
  19. bide t.. abcd+. abcde
  20. 2
  21. M
  22. equea forme
  23. prodeunt a se multirlicanbus ab Literae non possunt esse nisi 5
  24. ua
  25. quia forma maxime vanata est abcde Tot ergo litelae quot termini
  26. in formus probucentibus simul. Alterntis forma deinde ducatur per omnes
  27. si
  28. dmae producti novam
  29. ad ipsam recatione habentes i itaque ab
  30. sed
  31. 2
  32. abb, duci pote
  33. ductum in abc, et in abd, facit idem
  34. in abc, abc, abc, acd, acd, bcd, bed, cde
  35. sed bd excluditur, quia idemfacit in ab
  36. 4
  37. 2
  38. 2
  39. a
  40. 4
  41. hinc formae
  42. asit
  43. e 14
  44. abc, abC, abc, abcd, abcd, abcd, aebed, abe de
  45. C12
  46. cope
  47. ubi notandum non omnes formas provementes divdi secundum ix ordinem prioritatis literarim
  48. a b2cd
  49. dividi posse per formam producentem secundum ordinemstiterarum enuntralam
  50. enrnbiatas
  51. a
  52. sic ab Cd, non poles dividi per ab et tamen haec forma prodit
  53. loefficiens formae producta indagari potest ex modis peruculandi, ex
  54. ubi duae literae amplures eodem modo se habent. Ex. gr.
  55. a
  56. in fomnis
  57. abcd prodit ex
  58. ab in ac d, et ex ac in abd. itaque caefficiens praefigendus est 2. e
  59. dre se eodem modo haberent in producto velut si e
  60. a
  61. p
  62. i tresliterae con
  63. produet ex a bc in acd
  64. 2)
  65. 2
  66. i
  67. abcde
  68. re
  69. a
  70. poterit praeterea poni abc in abde, et aed in abce
  71. 221
  72. e
  73. ita sunt copercatus pergutem cum
  74. et abd in acde quid scampo bc, subsituamus simul oft acdin abe. si tres
  75. 2
  76. essea prodventes possent perinutationes institur cobigulae Quod a plus semel lontinuat
  77. V a
  78. tant
  79. s
  80. a
  81. du
  82. 2e ab literarum aequiatrium; pures adhac prodeunt variitiones
  83. e
  84. 122
  85. a22 B.
  86. la
  87. epa
  88. eF. Hic permulando R et
  89. product ex abaeeut
  90. habemus aduc unum casum secundum, permutando c et d fertium permutando e et f, quad tum;
  91. ex gr.
  92. e
  93. ad
  94. B0
  95. ab
  96. permotando simul a et b, item C et d, quiatum permulando simur a et b item e et F, sextum, permu
  97. e a et b Cet d ext f
  98. laudo simul c et d, itam e etf. septimum; permulando simul b
  99. aL
  100. 41421V
  101. octavum. Et tut modis p prodit a bcd ef ex abC e in bdf, aut smllibus en abstrable
  102. ∞2
  103. ex a b.. C C in
  104. aabc
  105. isa
  106. 1b in bcd
  107. dat bCd
  108. ad lco
  109. ab in b2d

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 181r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0361?run=74