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Leibniz-Handschriften zur Mathematik LH 35, 6, 26, fol. 11r

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: 0.89.

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. 12v); this page is its right half.

The machine reads it as

  1. labula c
  2. +18. 3. 11 3. 16, 3.1593
  3. 18, 3. 17 3. 16, 4. 152
  4. 8, 3. 17,+. 16,2. 13a3
  5. +18, 3. 17, 4. 164. 14
  6. 18, 4 17, 2 16, 3dr3
  7. +18,7. 172. 64Y. 1832
  8. +18, 4 12 + 16, 1. 144 3
  9. = 184.4. 6 +.
  10. Notati utam dignum est
  11. Postremo eadem lethodus
  12. adhiberi porerit, s pro X, X, X X)
  13. ubique adhiberentur X X X etc. vel
  14. Meinter Nne A qua seu XX, X
  15. Nam si quaeresetur orXt RRXEXaX
  16. summationem desideraret, Poterit perib inde fieri
  17. assumi erunt ermini coincidentiandi
  18. Nam si verbigratia a SD summationem
  19. desideraret posito
  20. Nam si verbi gratia dx VD: X summationem desideraret
  21. inventis jam valoribus ipsorum 30, 31, 32, etc
  22. facile habentur valores ipsorum 40, 41, 42, et S
  23. hoc modo ( F(031
  24. 2(11) 30 + (10βY
  25. 41 - (22). 30+ (2]) 31
  26. -40 = 111. 30+ 110. 31
  27. = 41 = 122. 30 + 121. 31+120.32
  28. =42 = 133, 30+132. 31 + 131. 32 +130.33
  29. Et ita porroitiende ex inventis, epsis 30
  30. 31, 32, etc. ipsas 40, 41, 42, etc. haberi est
  31. manifestum
  32. 9418217464 =3
  33. ubi numeri sub liners erantes,
  34. tantum ad formandas
  35. notas numerorum
  36. Sinistras adhibiti
  37. sunt habendi pro
  38. Numerum hanum ranspositionum sic permissarum semper esse progre
  39. sunt Gometri progressionis Geometricae duplae,
  40. si non omittantur quae evanescunt ob descensum
  41. notae dextrae infra o. Sed et in ipso Numeraton
  42. ordinato qmd secundum Multiplicatores
  43. ut la ejusdem notae dextrae (velut in 30 secundum
  44. Termini demto
  45. 147, 146, 141, 142, 143
  46. primo habent numerum nembrorum progressione
  47. Nec inutile erit
  48. Geometrica crescentem.
  49. e diversas ejusdem crdinati Name ratoris ordinatione
  50. conferre interse. Ita in 31 ordinando
  51. stat numerator ut scripsimus, o sed ordinando vero
  52. secundum 161, 162, et fiet vel sccundum 172, 173 et, vel se-
  53. +153-1rt. 18G. 174. 253 10) ABLA
  54. F104. 174. 153. 161- 183. 174. 153. 162- 184. 172. 153. 163- 184. 174.190 162.
  55. 183. 173. 153.. +8 17 151.
  56. cundum 183, 184 a fiet
  57. +184. 169157: 172183. 1lg. VI. 12284, 161. 50. 174
  58. 184. 169. 157... +183. 165. 153. 41931 6 15.-
  59. llu
  60. sub, vel 100
  61. 179 164. 151183 - 174. 169: 150. 8
  62. =174. 1∞ 152, +17g. 167.152.
  63. 174. 162. 153 .. 4+174. 161 - 83-
  64. ubi dedinando secundum 150
  65. 173. 163107. - - 172. 163.i
  66. est primariam ordi
  67. nationem, sesccundum vel tv secundum 18.)
  68. patet in ultimis terminis aliquid deesse, et
  69. in primo dia adrationis Terminocultimo ordi
  70. nationis primariae 1y secundum ibo
  71. De153, secundum 17. deest 152, secundum
  72. 180, det s 151. Similiter subordinando secundum
  73. 60 post primariam ordinationem (factam secut
  74. in Termino
  75. 7 vel 1 secundum 18
  76. ultimo ordinationis prmane secundum 17 deest 163
  77. secundum 180, deest 162. Et subordinando selundum
  78. VI post primariam ordinationem (factam secundum 60 vel se-
  79. cundum 1B.) in Termino ultimo ordinationis secundum 150 de est 171
  80. et dest secundum 16, dequesC; setundum 180 iAdem 171

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 26, fol. 11r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068071:0021?run=73