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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 77r

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: 0.85.

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. 76v); this page is its right half.

The machine reads it as

  1. Repetitio Tabulae
  2. Ad Unum Nomen O = d =a
  3. Ad duo Nomina 20 = -2a tac. (0) = - 2 (a b) per 7
  4. D- 26D = (CD) Ad IV. -26- 46ab
  5. 20D = ) Fac. (D) = - 2abc
  6. OD- 20DS. () Nomina tac. (C) - - 8a 2) -103 = - 2ab2
  7. Ergo () = +2(abcd)
  8. Ad V. = 20 = + 16 abco
  9. 5-280 - (80) Komina. Ergo (0) = + i abe de)
  10. 50 - 20D5 = (7) Ad V. -20 = -Dr abede
  11. -20D = -2 abc
  12. (07) = - 4 abi it,
  13. 20D- +Babed -20D - 8 abea
  14. 2002 ) tacil 3+ (ab) per 1
  15. 205 = ) Fac. () L abc
  16. d 2005
  17. Odibabete (0D) = oabide) (67 qabide)
  18. Nomina Ergo (1) - - 32 abedef) 208 - - 2oabede. -207 -- 20abi de
  19. (D) =gabedet) (05)- -20labedes)
  20. 53. 2038 -60D) Ad VII. - 20 - 169 abedef. 0- 3rabedet
  21. OD - +10 abede
  22. (07 - + opbutes)
  23. D- - qabcdet 0D. 2oabedef o = + oabcdef o =bidet 8D- abcdet
  24. Nomina Ergo (1) = + 6gabi defg 20D - + quabclet 20D - 1quabiies - 20D 20 -200 - +irabudes - 2006 -0
  25. D) = a(bedefg) (0D) = +3babcdesque (0- 20 abidefgs) (90) = 2e sabide fus (5) - - 9 adidefg) (C) D 9) fabrdles
  26. O0D- 20988-8) Denique patet Literas punctatas ubique saltem pro Numero Nominum apponi verbi gratia: Ad I Nonuta
  27. emlhen
  28. ubique ponitur abedefque 13) vero jam sine calculo presupponere porsumque
  29. 8-205 - (80)
  30. Ad VII. Nomina 0 = + 64 D = +8. OD = + 36 8 =20 8O = 22 D= - 6. OD6 = 1. Ut modo invetu
  31. 20 = - 128 0- 64
  32. Ad VI Nomina Ergol C) - - 128. - 20D -- 7 209. .72 20D0=-2 -260. - 4 - 2095- 2 -2035--
  33. 0D - 36 8 = -20 86 - 22 8V - - b
  34. omnibus lic apponatur abcllesql D = - 8 (1 -64. (0) = 34 (09) - = 64. (55) = 20 (0D8) --
  35. Ad IX (0) = +256. 0 - -128 3 = -8 0D - - 64 8 - 34 80 = - 64 5D = 20
  36. 20D- +128 -208, 128- 201 - +16 -250 -128 -2030=16 2016 =16 -2030f-0 280 -0
  37. (02) = 120. (5) = 48 (50) = 162 (021) - =. 48 (0)5) -36 (8 = -
  38. Ita ergo demum ad summam calculi facilitatem penetravimus atque e
  39. nata inde tabula est seorsim aliquando communicanda.
  40. Jam autem inde simplicium Planetarum Systema exscribo tale
  41. ad sedeum Nomina
  42. Ausem pus tria sit loeet
  43. secunda post ia sit locet
  44. +48 abc. hike H6 abus
  45. 4330 ab. tlm - 164 abedunlm +32 abu tbu
  46. 792 abc, plum 560 abcnulma
  47. =17 ab u Xlan - 135 Z abc ulmno - bg abu.
  48. 134Z abc ulmnq. 1 2704 abca inop H2S ab nnos
  49. abidun opqs +6434 ab 1004 ( - 4b16 abc +. not .- 128 ab, opis
  50. =32766204
  51. Posumus autem haec omnia quoque deduere a posteriori
  52. sumendo casum maximuti ubi omnia Nomina addenda sunt=
  53. postquam certi sumus systema hoc modo factum si modo huic casum
  54. maximo congruat etiam congruere omnibus reliquis Casibus
  55. Systema tale.
  56. Sit ergo pro 2 Nominibus
  57. Qvaeritur Systema ad tria Nomina
  58. Incasu maximo erit hoc systema = 1 1
  59. Pono Systema inventum
  60. Praesupponitur cognosci pose
  61. Valores punctatos ad Casum maximum
  62. ubi omnes Valores sunt Unitates
  63. scilicet ad Unum Nomen
  64. Ad duo Nomina a = Z.
  65. Ad tria Nomina a = 3. ab = 3. abc = a.
  66. Ad A Nomina a = 4 ab. = abc = 4 abcd - 1
  67. a sic porro quod plenius continuabitur
  68. in Tabula Valorum punctatorum
  69. ad Casum Maximum.
  70. seutribus cunin
  71. Ergo a -2ab + X = 1.
  72. Facit 3-L = a
  73. Ergo Z= 2
  74. Facit -Zabc
  75. 3 - 2, 3. + X = 1.
  76. seu 3-6 + X = 1.
  77. seu -3 + X = +
  78. Ergo X = A abc H = L
  79. quia Komina omnia
  80. sunt unitate
  81. Facit X= +4abc
  82. Fit Systema pro tribus Neminibus
  83. u
  84. PRoaIs et sabula Reformata.
  85. Aa III. - 20- + 4a
  86. Nomina Fac. (0) = + q(ubc) per 7.
  87. 280 - =rabede -20D5
  88. (90). oebides) (D) alede
  89. 1 4 - 512 abc hit
  90. -8192 abc umne
  91. +16384 ab nu mnop

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 77r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0153?run=74