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Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 91r

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: 0.76.

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

The machine reads it as

  1. Siquons pagiua proba est
  2. vivendum an in dyadicis exdifferentiarum perodis possint inveniri
  3. periodi summam
  4. 1
  5. 11
  6. 4
  7. 0 12.- 00 01
  8. 10 1 .. 1 001
  9. 0 0. 10000
  10. 011. .. 11001
  11. 0. 100
  12. a+ m = Nam im
  13. 2am
  14. 00
  15. a+m -ram ad L _ - 2 al = m
  16. et
  17. a b, a b a b a b d b
  18. lre la m l in l ml m l
  19. l. n ( td est D, si l = m
  20. Viligab Y
  21. a Si a nume dyadico
  22. fiet prima nota l+ m-2lm
  23. et secunda sequentes notae
  24. subtrahendo m- lm = ()
  25. fiet prima nota provenientis Utm. um
  26. sequentes autem notae provenientis
  27. prodeunt si rursus a minuendi notis
  28. sequentibus velut novo minuendo
  29. oporteat subtrahere m -lm = (m
  30. et prima nota nova provenientis,
  31. secunda
  32. ser paima, notae
  33. Ergo +t
  34. IC e
  35. - M
  36. Si ex numero dyadico minuendo
  37. m
  38. (+m 1)
  39. 2((1,B ( . V)
  40. L)
  41. m est
  42. siet squ mes
  43. in cul 1
  44. qu
  45. =
  46. am
  47. -259u - 28tib
  48. si m sit d sin m
  49. terminus primus eutm T ego 1 + m - ulm
  50. t+ l ducantur invicem fit XX = X
  51. 1(5) AleL
  52. a
  53. =ulm
  54. EbI
  55. Jam si lest 0 et m est 1
  56. Elm
  57. morbet ab A tIli M tu 1
  58. id est op elt ab X tulli 1
  59. LM
  60. caeteris casibus oportet
  61. eru peralitr
  62. folli, e a tolli
  63. p-ln
  64. l est C et m est 1. uet ab
  65. ali A spodtr
  66. opsitet ab A tolli M - lm = 1
  67. Si lest 1 et a esc
  68. oportet ab A. tolli m- lm = 0
  69. si l’est 0 et m est
  70. oportet ab A tolli m- lm = 0
  71. si l’est l et m est c
  72. optet ab A tolli M - lm =
  73. Ix +-
  74. Ergo generaliter oporlet ab N tolli m - lm
  75. et A est
  76. (M)) = (M) - (1) (m)
  77. (M))) = (m = (() (m 7
  78. MM
  79. =(in -lm
  80. +M
  81. m
  82. -22m
  83. +2 lm X
  84. hebet tollit + M. - lu -mX + lm H
  85. et p ((A
  86. posito (M) = m- ln
  87. stem) Am) um
  88. illqu ata)
  89. M
  90. Nan 51
  91. seu ex sequentibus rinuendi
  92. oportet sub trahere
  93. te
  94. M
  95. squ
  96. l’velel, vel 3l, etc desal esse 0 non sit 0
  97. fit M = 2ab, b3;, 4 ab - 2a- 264
  98. = 2ab- 48, 4 ab - 2 2b
  99. fient subtrarendo
  100. eti
  101. d
  102. quo facto fiet
  103. etc (e) (A
  104. oportet subtrale M
  105. ex et. () A
  106. otis
  107. N
  108. A
  109. continuandum eril bonec teminus lovel el, vel
  110. a+b. 2bb =m 1+4 + + 2al
  111. =2ab = 2bm + aabm
  112. e () X
  113. d
  114. en
  115. rg abliqua et 1-l, Si M sit 1, m v generanter +
  116. 2bm = L
  117. e
  118. (1) (m -Im- im A+ lmd)
  119. universalis
  120. regula
  121. sustractionas
  122. Dyadica
  123. e m
  124. tit
  125. et Im X
  126. 2um
  127. +2() Im
  128. + 2(X) mX
  129. =2 lm 1)
  130. si m es
  131. aalm
  132. (se in cisnt esse
  133. nam ubi lest 1
  134. (m) Filausa 2) segrentta
  135. sem
  136. M
  137. d
  138. 2sgm
  139. tat
  140. 1
  141. +(2
  142. 2
  143. et oprihit ab (A
  144. seu m -Im - M) + lm
  145. 1 n - lm - 3 (m - lmi)
  146. toll
  147. fit
  148. i m sit 0, etrum (0n)
  149. et alia sequentio sunt
  150. est subtractio, ubi
  151. vell vel 1l) vel (1)
  152. et m est

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 91r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068255:0181?run=74