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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 22r

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. 21v); this page is its right half.

The machine reads it as

  1. X
  2. ex praefixa u du dujus
  3. VIII
  4. (3120 151) Cpo
  5. E119 (919,1B (9131Z O116 (713,5 (2 1, 12 13, 13
  6. (14 15 14,14
  7. B0,b dib 2
  8. uad 11, 19
  9. 1319 13 13, 17
  10. s
  11. a it,
  12. 1s6
  13. , 15
  14. 13+ V2 +11
  15. +13 12 +1
  16. 11, 13 4 1512, 11
  17. (2s3 +12,12 + 1912
  18. 414, 3 119 11311
  19. B 16+15 +14 + 13 ∞ 12 + 115
  20. + 16+ 15 + 14 + 13 + 12 + 1
  21. 91,6 (341 C V =(D1B3 13 11, 12
  22. 30,6 (14
  23. Vy (16 + 15 +14 +d
  24. VI
  25. V. IV
  26. i 36 Du5 Dusa
  27. DiE1 (3 1 (910, 5 (3)1314 (D12, 1.
  28. 12, 16
  29. 13 15
  30. 13,8
  31. Dup
  32. E, t
  33. binarius
  34. semai
  35. 3) ternari
  36. nam pro
  37. 12
  38. scribemus in
  39. sequenti column
  40. 11, 12. sive
  41. enim sit1, sive
  42. sem
  43. trausfer
  44. potest in sequente
  45. nam si esto
  46. nil nocet, si
  47. est
  48. tunc sidieri.
  49. ergo pertinet
  50. ad sequente
  51. charactere
  52. 11, 12 + 12 1 22.
  53. 11, 13, vel 11, 13 + 11, 12 + 12 p 23. quia si quidem
  54. si quidem 11, 12 + 12 aequ. (D tunc 11, 13 ⊓ 23.
  55. sed si u,ir +, 12 ( 0 vel 3 tunc 11, 13 + 11712 + 12 1. 23
  56. Habenus ergo duas aequationes:
  57. +11, 13-23 B0
  58. +11, 1 + 12 = 23 70
  59. quas duas aquationes in se invicem ducendo fier: + 11, 13, +12 = 23
  60. ergo fiet 23.
  61. + 11, 13 = 23
  62. 11,1 3,3 = 12 23 + 23
  63. YI 2 + 11, 13 +y, 12, 3 - 7, 13 3
  64. 11, 12 = 11, 13
  65. 911, 13 + 12 - D
  66. dabit B + 61
  67. seu 11, 13-(211, 13, 15+ 234,
  68. + 11, 12, 13 = 12, 231
  69. ubi si nominato sit 0. semper et numera
  70. tor erit 0.
  71. nihilo minores
  72. hic nihilis aequiparantur; imo
  73. verbi gratia aequ. 0. non potest hic prodire
  74. quantitates
  75. quantitas negativa
  76. Brevius potlamus hoc modo:
  77. et 2377
  78. 11, 13 + 11, 13, 22
  79. +(2) 1, 13 + 11, 13, 22 -(D
  80. 11, 13- 2310 vel 11, 13+ 22 - 2370.
  81. 11, 13 = 23 + 22
  82. 11, 13 = 23
  83. 11, 13 + 23. (3)u, 13, 23 = 11,.3 2 2 - 1, 13, 12, 23.
  84. et 25
  85. ec.
  86. Eodem modo inveniemus et valorem ae24.
  87. Vicissim ex datis 21. 22. 23. poterimus investigare H. 12. 13.
  88. id eAt dato numero radicem; et in ferie infinita, incipierum
  89. invertendi sunt valores, characteres , vel si placet ad huc semel
  90. sumendi gero repetendusque calculus anctis pluribus semper clara
  91. oteribus utendo, adhibito Theoremate de radicis ivestigatione semet
  92. anvento nisi malimus potius semel in uni versum calculane, e
  93. Quanqua et hoc hectema
  94. incipere ab initro extru rendo radicem
  95. quo inveniimus I. 12. 13, etc. ex 21. 2E. 23. erc. serviet
  96. nimorum ve quaeremus primum 16per 13. 12. 11. per 23. 22. 21. dende
  97. deinde 15. 14. 13 12. I1. per 25. 24. 23. 21.
  98. et ita porro et quicquid in hoc calculo commune est, provalore erit primi
  99. autem aliquid commune
  100. ponendo sequente,
  101. inquir indari funamentu
  102. 14, 13. 12. I1. per, 24. 23, 2l. 21. et
  103. termini. Necesse in infinitum procedente. Est
  104. in infinitum, quia semper ex sequenti fit antera sens
  105. aequales intulo qued estrarum proqressionis
  106. il 21
  107. 11- 21
  108. b + 12. bp 13- 23
  109. 6per
  110. E

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 22r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0043?run=74