Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 44r

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. divisor X+ tx =mX+n
  2. X+ bX + CX + d F 1
  3. X x +mxtns
  4. ex Imx-n
  5. X+ b Cx + dx + et x N+ bX + Cxdx + ex+f E
  6. (X + x +mX +n
  7. X+bX C d CE EXFGE+
  8. =n -bn -1
  9. ba eln ta
  10. +Im rem +bn
  11. c due ln
  12. m eb
  13. +b1 m
  14. X + X +MX+M
  15. alx-dm-du
  16. +al +mn +.
  17. ebim +bni +bum
  18. almne flum
  19. +c12 +ctu
  20. em alu
  21. Cb13
  22. bum
  23. an
  24. +a +Bm ben
  25. e ex pmxn
  26. te
  27. +
  28. m n
  29. dividendi: X2+ bx + Cx + d
  30. Quotientes:
  31. Residui
  32. -
  33. Ab X + CX + d
  34. mx sux
  35. ib. 1
  36. + lx +mxinl
  37. blx bnbn
  38. u enx
  39. +cm
  40. -blII
  41. +d. n- bu1.
  42. ect am
  43. +bI2- 17S
  44. C-bn +mim
  45. in +bim-em
  46. faltultbem
  47. temdaerem
  48. 4b13 +14.
  49. + Ix Em X + n
  50. -IX-m- nx
  51. Xh + lxF+ mX +n)
  52. Divisor X+ lx + mx +n
  53. =blx - bmX - b X
  54. +ll +im sin
  55. +G. Ix
  56. tc
  57. am
  58. = bl
  59. (X LLX +mX +u+U
  60. LelxcmY-cut
  61. +m +m. +ia
  62. +b +blm bln
  63. 13. Cm. in
  64. X +bx3+ ex +dx+e. X+ bx + Cx+ dx t ex+ f, X+bX Cx derexfatu
  65. X +b
  66. +cX +dX +e
  67. mn
  68. -bn
  69. bi bu ila
  70. Fu um
  71. X + bx + c. m
  72. iblel
  73. td X +e X + f
  74. um
  75. +In
  76. +bl2
  77. +(3
  78. bn
  79. +in
  80. =en
  81. em +mn
  82. +
  83. +bin
  84. ibtlin
  85. m
  86. X+ GX +C- mGXtd - n. b
  87. +l4
  88. -birie almde
  89. ut progressio appareat, Residuue unus AX + BX + C, proxime sequens: - ALX - Am X -A
  90. Regula generalis qua residui proce
  91. Divisor X+l. Regula: Residuus unus A.
  92. xflxtm
  93. +B.. 4
  94. sequens - AC
  95. + v.
  96. ex regulis specialibus:
  97. Resinus praecedens AX + Bx + C. sequens
  98. sequens ). AI
  99. A
  100. c=
  101. +C.
  102. Riesiduus unus AX + BX +C
  103. proxinio sequens- AIX = Am X - An
  104. +
  105. + C. + y
  106. 1b(2- B
  107. etun
  108. er
  109. Ingbm, ben
  110. Ihu.Bn
  111. te-bnolu. X +F. cn X +g- dn
  112. emenebim. minebin. nabu
  113. emdenl. Tn, dn
  114. Ablmiem +mutbui;
  115. )+cl m- bB. Citcns lnin
  116. n
  117. habebitur
  118. XHXEmXIN
  119. finitas
  120. AX + bX tC
  121. Unde jam tale Fheoema generale:
  122. sit divisor quiunque X + CX = A etC. et sit residuu L+ M X + N,
  123. + P,
  124. X etc
  125. tunc mona se eadem divisore, et assumto dividendo, qui sit sit divisor finitus quicunque X +1
  126. 2+
  127. a t lx
  128. tantum gradu altior, cuit residuris
  129. sit divisor finitus quicunque ab
  130. e
  131. Et sit residuum divisionis. A. 1d a
  132. co
  133. X
  134. +C. ∞
  135. e
  136. et
  137. m.
  138. x2
  139. +n. X
  140. lX X Enx
  141. ere
  142. st divisor finitus quicunque X + l. X + m. X etc. + YXIS et residuus: A. X + B. X1o-1 + C. XC ete + F tuncmanente
  143. eodem divisore, et dividendo assumto qui sit uno gradu altior, Eit Residuus: Al X = Am. X An. XC etC Z AY. X = A)
  144. C.. + D
  145. C An
  146. =A
  147. ot
  148. + x
  149. =Am

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 44r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068241:0087?run=74