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Leibniz-Handschriften zur Mathematik LH 35, 6, 26, fol. 12v

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: 0.86.

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One image of two folio pages side by side, registered by the library under both labels (also fol. 11r); this page is its left half.

The machine reads it as

  1. olta valoripsiu, 31 quatuor diversis modis ordinari potest, secunda 150 vel secundum 160, vel ) nadum vel secundum se
  2. Sed subordinatio sempor fieri potest per 1680, 17a, 180; vol B 151, 17.,18; vl per 151, 16., 18.; 1 per 150 160, 170
  3. e Ita in 3Evalore ipsius 30, Nume ratorem ordinando
  4. secundum 14. (seu secundum 58, 147, 140, 11, 142, 143)
  5. stat qualem scripsimus. Sed ordinando secundum 15. (seu secundum
  6. 150, 151, 152, 153) vel secundum 16. (seu secundum 161, 162, 16Gl 164) vel
  7. secundum 17. (seu secundum 172, 173, 194) vel secundum 18. (seu secundum
  8. 194
  9. probedetites
  10. TABVLA 1I
  11. LBR 14 4515IL 1BFA72IbI 143 152
  12. +184. 174. 164.143, 150 - 183. 174. 164.143. 151 -- 184.172. 164. 43. 152 - 184. 174. 161. 143. 153 -- 184. 174. 169. 147. 154
  13. 15.153. 12.
  14. +183. 173..... 1.. . +184, 174. 162 ... .. 41est. 174. 164. 140..
  15. =194, 172.163 .. ...
  16. +184. 172. 164. 141.
  17. F 184. 174. 161. 192..
  18. = 183. 174. 162....
  19. (18 LH . ( + 194. 174. 154. 421 61 - 193.174. 59.192162- 184172. 1541 12.1 63 - 184. 174. 154. 191 b7
  20. = 184. 174. 153. 193. - + 193. 174. 53. 143. 4183.173,159.52 4 183. 174. 154. 1401.
  21. 4184. 172. 153. 1431. +189. 172. 154. 141..
  22. = 183. 173.....-
  23. in omnibus istit e dinationtus valoris ipsius 3k (neupe de vel et 3
  24. = 183. 173..... . . .
  25. + 184. 174 58. 143..
  26. germintus novi ssit ex omnittru eriorum ejusdem valoris terminomm defficienius) - 183. 174 151. ....
  27. proribus, mutatis cerum
  28. signis et numerine
  29. omnibus communis notam dextram
  30. in termino retro primo, retro-
  31. sicundo, retro tertio, et C
  32. minuendo unitate, binario
  33. quod si praeceden
  34. ternario tes
  35. tes omnes non habeant Numerum
  36. =184172. 152.
  37. + 183. 173....
  38. +194 91 144. 172 - 183. 169.154, 91. 173 = 184. 164. 154. 145. 174
  39. L194163. 154142..- +193. 163.159.192.. = 183,169154.140..
  40. -194. 169. 152. 143... + 183.164. 152. 43.. + 184. 6,.154. 142.
  41. 4184. 163. 153..... - 183. 13, 153. 10.. - 183. 162.8......
  42. communem; consid devidentur in duas.
  43. agit in quaerendo
  44. in Termino ultimo ordinationis primum
  45. terminum simplicem, non habentis unimemboem
  46. dividantur in daas ta partes, quanum una habet
  47. communes numeros 154, 142, altera numeros 153143
  48. p in priore qu a in posteriore a 3
  49. a ipsius quarum una duopunum, altera aliimm
  50. bn habeat numerum communess et quidem
  51. notarum sinistrarm quantumtices depressarum
  52. itam ubi loce parsuna habet communas numpros
  53. 154H pars altera numeros 1C3.143)
  54. a siuistrae quae genster est
  55. ex tiqbi postrimariam es
  56. Cadiarens dest
  57. quisunt AK)a,
  58. ordinationem factam secundum 150, subordinando
  59. tqiihatinem soecundum
  60. qui sunt priors bini sunt etr Hec to
  61. Hae+ Wta IKa 2; posteriores binis
  62. +1p ba4 40183 - 174. 164. 154141 184
  63. =173, 164.154. 141. . + 172, 164. 154. 191. -1
  64. =179. 162, 154. 142.. 4174. 161. 154. 147..
  65. - 179. 164. 154. 143.. + 179. 164. 150.143..
  66. Part quae priortimimerum a qvis membro haet
  67. communem habet, manentiat cateris mutentur signa ..
  68. et ubi signum nota es et sinistra est et K, dema
  69. Temminomatentur (a + 1+K) deperae nota
  70. Dei adhaerens dextra imminuatur loge jam dicta
  71. ostantiae termini prioris, retrorsum sumtae
  72. retro. tertro etc. dicta nota dextra priminuatur 1
  73. espective unitate, binario, ternario
  74. ita fit coefficiens Termini ultimi. Unimembris autem est E
  75. nimus Terrinus ordinationis e secundum aeet utL, sed or
  76. tenum secuodum secundum e1C (D, sedordinationis secunda
  77. atiso l1sariso vel 1) a +3so etc is respective mimembrils
  78. vel bimembris, vel quadrimembris vel octimembrs, etc
  79. Porro primi autem Termini sum ordinatio sit secundum notu sinistram
  80. tarima notios intiror seu
  81. Loeficiens quomudo cormetur
  82. inceltimo termino docs . 144 dabit exemplum coefficientis
  83. suit 1) ebrirK)a-1, 1(a + K) X 1 (hoc loco prr B in Valore dera
  84. quorum prior 1a +IFK a (hoc loco 154)
  85. posterior 1)a + K (a-1 (hoc loco 143)
  86. un utia num Termino retro primo
  87. -184. 161. 153....
  88. =17Z. 164, 152.1..
  89. 4174. 162. 153.... 174. 161. 153...
  90. Iso. cipsus AF
  91. prioves bem sunt 154 q e et poteriores tim. 153. 143 ) parte muti
  92. plirata per priores binos
  93. 4184, 169. 150. 43.
  94. =183. 164. 151....
  95. +184. 162...
  96. =173. 163.... . . + 172. 163.1
  97. cundum t t primiam sundum 1Gr inultimo 143
  98. Ubi suberdinando
  99. isbodinanr
  100. oidinitione lucdo
  101. retiosecum
  102. H2. 1 ipiis 18
  103. 1435153 h1b2. 14 +
  104. 152. 5164. 173 +
  105. 151. 164. 194=
  106. 1183) 192)154 . 163. 173-
  107. (154. 162. 174 +
  108. 141. 154. 169. 173 +
  109. 140, 154. 164, 174
  110. ubi una medieta, semun
  111. habet ipsius 150 vel
  112. 162. 160 16. vol 17 en fra
  113. notaqdextram summam
  114. 17 17o hoc loco 4, reliqua medic
  115. d71. 170 tas se caeteras
  116. 173. 171. 170
  117. ae ta tu eitus v potiie ta
  118. nmtielta aralea

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 26, fol. 12v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068071:0024?run=73