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Leibniz-Handschriften zur Mathematik LH 35, 5, 23, fol. 23r

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: 0.67.

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

The machine reads it as

  1. ZaSAX: aa-xx est logarithmus de aa- x
  2. a
  3. qua est logarithum de . X + log. de a +X
  4. modo bo a +x aequ a dx: a+X. Ergo) log a. X elque a +X est aequ.
  5. n aequ. 2a ax: aa - XX
  6. et eub n
  7. a
  8. atu
  9. e
  10. AF logacit log. a-
  11. e
  12. pe
  13. 2
  14. 2a
  15. aa xx
  16. + BE, a: a+x
  17. em
  18. aegu
  19. A∞ log a 4 X = DE vel BF, log. aa
  20. e
  21. Addatur Modus quo invessigam Longitudinem Loxdromiae
  22. AB vel Ad, X.
  23. 2
  24. DF, a: a -x
  25. asd
  26. aa
  27. in figur adjecta sit At vel AV a.
  28. Cd, aux d ∞ aZX
  29. vedeam Haec plongius produxi jam olim dideauus quid
  30. m
  31. fintuccum. divises fomlarum sunt imaginarii. ut. quaeritur
  32. e
  33. 2
  34. a
  35. log. aa+ nfera 1 e seleatur e quaeritar
  36. de
  37. Loganthmmner t Cogxilluo sedivscum; fiet uu aequ= XX. seu Xequ. y
  38. er
  39. c
  40. adeoque
  41. a: aa tyy foret log. _u arg
  42. osuqB (
  43. -
  44. ct hae a
  45. an hoc verum sit ut possimus fidere caticulo per
  46. Imaginariasonscilicet 2a fax anirus ergo du equaus
  47. e
  48. i
  49. ft
  50. e
  51. jam si X aequ. ys 1 erit ax aequdus V-1
  52. a’ergo erit : 2
  53. aA
  54. ress ser
  55. e
  56. 23
  57. d
  58. de
  59. e
  60. argoia
  61. at sieS
  62. s
  63. quadralog aargus test quadrat. de fay taatyus
  64. 4au
  65. seu
  66. Ergo
  67. se
  68. m
  69. mnatio log. a -x aequas dx.a x. et eodem
  70. a dx 4 e ∞ equ sax
  71. aux atx
  72. Ergo erit 2a si pdy: a ag.
  73. duplus Logaristd A: aa- xx est logiathmu de a. ax
  74. +
  75. Nam logarithmys de
  76. di
  77. erquam ae
  78. urgu
  79. e
  80. seu
  81. 1
  82. 440
  83. 2a
  84. quadr. log. aatyu est quadrat de
  85. si esser
  86. aatyus
  87. 2
  88. Cay:natyg
  89. si
  90. et
  91. au ejuss logarillinus erit: 2avsy: natrus
  92. sedapt
  93. am de
  94. e

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 23, fol. 23r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068041:0045?run=73