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Leibniz-Handschriften zur Mathematik LH 35, 4, 10, fol. 6v

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.

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. 7r); this page is its left half.

The machine reads it as

  1. Octava seu ultima vicestabit sic
  2. 90 + 91 X
  3. 10d pe. 8091 = 100. 91 + 101 . 90 seu 90.91 = 100.91 + 81 90. 9 = 92.90
  4. o. B1. 91 = 109,91 + 102. 90 _son 81. 95 = 101. 91 4 82. 90.
  5. nes 8+ 91 = 102.9
  6. Residuns
  7. valor ea
  8. septima seu penultima Vice:) 91. 101 = 81. 91 - 82.90
  9. Dividendus 70 + 71X +72 X +73X
  10. divisor
  11. 80 + 81 x +B2X
  12. 90+ 91X
  13. 70. B2- 9u.88 1 91. 8
  14. Aequa 70. 82= 90. 82 + 91. 81 +92. 80
  15. tio- 71. 82 = 91. 82 + 92. 81 + 93. 80
  16. nes 72. 81~ 92. 82 + 93. 81
  17. 73, 82
  18. investigatio valorum,
  19. ce
  20. 93 = 73. Ex 2e15 fit 92. 92 = 72. 92 - 73. 81
  21. Ex I5 fit 71. 82= 91. 82 + 12. 81. 82- 73. 812+ 73. 80. 82 sen 8E. 91 = 71. 85- 72. 81. 82+ G. 8.
  22. est
  23. Exaeq.1 tt
  24. 5t
  25. ve Et ex 4, p. s, 6, 8, fit 20. B2 = 9082 + 71. 81- 72. 81. 52 +73. 8]
  26. Hatum vatorum a
  27. 33. 50818
  28. +72. 80. 82 - 73. 50. 81. 82
  29. Hi valores praeter altimum
  30. realrs Valores
  31. B = 23
  32. ex praecedentibus, promotis literis
  33. transcribi possunt. Ponelio haoecest:
  34. inpruantur sinistre anguntur unitate; quia
  35. p
  36. 92. 92 = 72. 82 - 73.81
  37. 8591 = 71. 81- 72. 8182 +73. 81. 81
  38. - 73. 80. 82
  39. 8290 = 70. 82- 71. 81. 82+12. 81. 82 -73. 81
  40. - 72. 80. 82 +273. 80.51. 82
  41. sexta seu antepenultima vice
  42. dividendus 60 +6IX+ 62 X +63 X2+64X
  43. divisor
  44. 70+71X + 72X +I3X
  45. Residuus So+BIXEBIX e
  46. .60, 73 = 80. 73 + 81. 7 2+82. 71+ 83. 70
  47. 51. 73= 81. 73+ 82. 72 +83.71 + 84. 7
  48. 62. 93(282. 75+ 83. 72+84. 71
  49. 63. 736183. 75+ 84 22
  50. 64. 73 = 84. 75
  51. Ex aeg. 1. fit 84 = 64 ex aeq. 2 perbfit 63. B = 83. B + 64. 72 seu 473. 83 = 68. 63. 73. 67. 72
  52. investigatio valorum
  53. e ex Ex aeq. 4. 758) = 61. 73 - 62. 82. 73 +62, 72. 7 = 4. 43
  54. -63. 71. 13 +269. 71. X. 13
  55. Tandem ex 2p. 5 8050. 23 = 80. 72+61. 73. 72 ek + 62.75. 71 etc. + 63.73. 33270
  56. per valarem penulluu calculi
  57. praecedentis vel per 6, 3140
  58. per 9, f10. I. seu 73380 = 60. 73( -61. 72. 733 162. 72.75 63. 12.73 + 64. 72
  59. seu 13. 80 =60. 3 - 61 .12. 73+52. 12. 75 - 6318. 17 164. 72
  60. 84 = 64
  61. -62.71. 132 ., 1. 7275- 364 21.72. 73
  62. 63. 20.75 +64. 71.75
  63. Valones ergo
  64. Valores ergo
  65. 73. 83 = 63. 73 -64. 72
  66. 73. 82 = 62. 75 - 63. 72. 73 +64. 72. 72
  67. -64. 71. 73
  68. +63. 71.72. 13 2. 64. 71.71.13
  69. = 62.71. 157 +6371.72.73 -64. 71. 72. 13
  70. 73.91 = 61. 73 - 62. 72.75 +63. 72.73 - 64.72
  71. +64. 21. 73
  72. - 63. 71. 73 +2.69. )1. 72. 73
  73. - - 63. 70. 5
  74. jn eadem vatorum serie, cujus vis vuboris termiri
  75. multiplicati per eandem, hoc loco 13. insunt
  76. sequenti. sed sequens aliquid preterea habet.
  77. 79.80 =60.13- 61. 72. 75+62. 7775 - 63, 75.93 464. 75
  78. - 62. 71753 42. 63. 71. 72.73 3.64. 71. 72.73
  79. - 63, 70. 737 +64. 712. 731
  80. Valores hujus calculi sumuntur ex Tabula explicationum ipsarum notarum
  81. possitulio cambinalone 20; 21; 22; 28, etc per B. 21 - 11. 20;110. 2E - 12. 20; 10. 23 - 13, 20; 10. 24- 14. 20 ete.
  82. sed Motatis taatum ciphris sinstris, quae in Tabula ab initio versus magis composita semper manent
  83. eedem et nesemt nempe _1 et 2. Hic vero sunt modo 9 et 8, modo 8 et7, modo y et b, etc.
  84. q conferntur
  85. ita ut grespende at ipsi 1, et 8 ipsi 2. vel B ipsi 1, et 7 ipsi 2; et ita porro.
  86. quae adscutsimus ad Tabulam divisionum. Nam quotientes et Residuit sinatatis tantum dicto modo
  87. stendimus autem optersum autem est ibi, quomod
  88. imen sine Tabula, et calculo extemporanpa ratione possint
  89. esti . e buloe tas coincidgu
  90. ser ad rabulam, qvoluodo ex secitu. me
  91. Etus esihysa asdnitor seu BVu Dividetdus 30 + 8IX + B2 X
  92. Inghesiduns sevu Divisor
  93. 8ru Reliduus
  94. sic fit in datis
  95. Nempe exterie valorum praecedentium tantur
  96. alorssequentis demed uttimo si dextrae cidirae
  97. Nodu st omnes
  98. combinatione cone–
  99. incutes ex
  100. A6
  101. non adest 6l. 21.tB
  102. la
  103. baci io
  104. +calculo
  105. i
  106. alores implicit
  107. Seu calulo ntracto
  108. 95. 100 = 80. 91 - 81. 90,91 +82. 90
  109. Et cob 100 quaeruntur 100, et 102

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 10, fol. 6v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068007:0012?run=73