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Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 55v

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: 0.79.

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. 54r); this page is its left half.

The machine reads it as

  1. 39
  2. posiso d, bCd et C
  3. esse aequales tesignifiare
  4. +1 unson = +q =
  5. artin 2binion
  6. 24 (149b
  7. 25. 5H 15. 5M.
  8. ternionp
  9. anion
  10. bonion
  11. 2bon 1b6u-amon
  12. 27. M 17. In +64. 7niba
  13. 2B. 8, 19. 82 - 12 snio
  14. 29. 9, 19. 11356) nivi.
  15. ik ia e
  16. alieo pe ada cel Ecomum
  17. C utrio
  18. in hac Tabula 172, 4, s, 1b etc sunt numeri notiseu
  19. numeri veri, sed 13, 13, 4 AC15 etC)
  20. Ilem 24, 25, 26, 27, 28, esc, item, 3839 ex
  21. sunt numeri ficti quorum significatho
  22. adhuc quaeritur. Et sic invenitur
  23. perum 1 untoc
  24. ut b D an FIb. hn.
  25. iun
  26. Rerum
  27. unius
  28. Unian. 1
  29. biniones
  30. 1 dn = Lbinisr
  31. 1 un = 2b n +43nio
  32. 1 un -2bm +43 - Ban..
  33. 3niones
  34. aniones
  35. Enione
  36. bniones
  37. iones 1
  38. denos
  39. utg
  40. -32. (1. +16, 3-8. 5 + 4.5. -2.3+
  41. 1+20+1 = 69
  42. 169 - 78 - -9
  43. 97
  44. 5b .32. 4 + 16. 8 -8. 10 +4. 3-2. 4
  45. 19= (16 + 16) - 10 + 4,1 =)
  46. 7= A9 7. 728
  47. -49. 8- 16. 8 +64. 8+1. 8
  48. 49 -16+64 +1
  49. 32 - 16. 9 + P. 36- 4. 54 (2. 12tf. 1. 126)
  50. 1b.3 4 8, 12 = 4. 2B + 1. 41
  51. 83+ 4. 12- 2 EY F 1. 21 = 11 (- 1D. 10 4sL
  52. aliona
  53. N. CN7 +2.9+ 365d, eirigb
  54. 42- 9, 24
  55. 72 + 4. 84 - 2. 36 + 1.9
  56. 54 = 18
  57. 8+1 =
  58. 14
  59. 1+1 = Cn - n. n 12 + y. p 1 n - 24 - n. p - 1. n. 28 et c = 0 31 n est par seul + est
  60. pro segunda et sequentibus columnis numeri adq
  61. fictitios, ver 6. pr. pro secunda 12, 13, 14, etc. pro 3tia 24, 27, 26) etc
  62. Ex his aequationibus, numeri se 12 13, 14 etq
  63. Cinveniri possunt, 12. 1=1. Ergo 12 =
  64. 15. F12. 3= 1 seu 13. 1+ 3 =1. Ergo 13 =1-3
  65. pro 1 et 0 sribamus a, b, fie
  66. 1343 a = a 13 = (1- 5) a
  67. 14 = b = ba - (1-1) 9a 15 - b - va - (1- 3) 10 a - 3b + (6.H
  68. seu 15= F 900.- (5)4 sit quia b = 0 fut
  69. 14 = - b.l 3)1. 15 = =10. 1 = 10 (1 -3)- 6. 1- 6.3))
  70. g
  71. aid. +13. 10 +1X16 = b
  72. + 16, 215.b 1145 + 13,20 + s=
  73. va Lib.r r15. 2 +435 +1235 + 12 -
  74. 10,81556+14. 7
  75. +19. 1 +19.9 1736 216.32 2igib. Y,4 b 13. 84
  76. generales sed more meo distinctivat Ce loc to a 1 109g 101I I
  77. W 1 40. 22+10 Z =6)
  78. 303320. 23 +10. 13
  79. qu.113034+ 29. 24
  80. enc eti
  81. 44 esc
  82. eribi 1i 22,
  83. 10. B + 20 et omnes sunt dut qraeter 10,2030C
  84. 10 = pa
  85. 20 =2b- 12430 = c a = 23b+12. 27a
  86. e videntur notae monnili paulo altem instituenda
  87. quaeratur plimm valves cum a, b, e, djete sunt 1, B, 1, 1, ea
  88. deinde cum sat 1, 0, 1, operc dem hiae cu sunt 1, 1,0, 0, 11, or
  89. 140.
  90. labim
  91. 8. 1
  92. +16.6 ∞ 8. 15
  93. +64.1 22. 7 Hb. 2
  94. a 20 -7. 1C
  95. =0
  96. 2. A 6(= C
  97. 81+64. 83228 416.5
  98. +256i1 p28. 9 +64. )6- 32. 84 H6. 126 -8. 1b +4. B 2. 36 4. 91=1
  99. 141 nna + etq
  100. N. N -1. p - 2
  101. 3.
  102. asi es par
  103. 1 etc) pront n par vel impar
  104. 124 n. H- 1. p-
  105. impar sensi q est 4
  106. sunt quaerendi, ideo adhibum
  107. fir. 1 = 1 Eurum
  108. demonstiatio:
  109. celas l ier eto
  110. e
  111. ubi
  112. += + 2. M. 1. p2
  113. est sintis
  114. 20 =3 = 355+ = 14 pro c + 1 potest et scribit
  115. 1. quod est 1 se n impar
  116. mconstratio: 1= In (1 +2) = () +C1 2 + n
  117. =+, (i = 4c et (1)
  118. deia ut +sit + y par et N et = sit =, si n est impur. fine 1
  119. advidondo utrinque subtrahendo utrinque X1, et rosiduum dividendo
  120. 12. 1= a seu 12 = R
  121. e
  122. 15 - (910. 1 + 18. 3 = 5.6. 1 + 5. 1. 4 - 5. 3. 4
  123. 12=_, 13 = 1 -3 14 = =6. 1- 4. 1 + 3.4
  124. 10 H = d
  125. etc
  126. quo melius in haec inquiratur; pro 1,3, 6, 10; 1, 4, 10720, etc. Ponamus motas etm
  127. eeet ita porto

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 55v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068255:0110?run=74