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Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 90v

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: 0.77.

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. 89r); this page is its left half.

The machine reads it as

  1. cavam movi pados series et periodos nachami quos hic attentam
  2. conjungantur, et singuli bene elaborentur, haud dubie mirifici
  3. usus haec tractatio erit.
  4. 000X76500 9000111000IH, e equ 000L aequ. d
  5. 001
  6. 00001100011000111
  7. 001
  8. 00001IMI II er seu 00014000000 c.
  9. 0000111000111000100V1I
  10. 00000181010501010101010101 et
  11. o
  12. 00d10101018101010101010101
  13. 0000001010101010101010101
  14. 0906000101010101010101010
  15. d01000181010101010101
  16. 10
  17. 0010
  18. 0: 000
  19. vi
  20. X∞BX Y Y Y
  21. ∞9 v9∞p
  22. CExsel XNa
  23. 60OOI1OOOTL1 ODOTOVOIM
  24. 0000111000111000111000111
  25. ob
  26. 30010100010100
  27. 100099 100:00010101
  28. oaeo
  29. es
  30. d= L aequ 20-
  31. 180
  32. 1980
  33. 1080.
  34. aequ
  35. 829
  36. aequ000, 00d1000100e cir + ... . . ..
  37. 000111
  38. 11100
  39. 00011111
  40. Nunctandem ausam errors carculi
  41. deprehendi cum sunt exempli
  42. gratia sex unitates tribus
  43. retro locis punctatum est, quasi
  44. esset 8 seu cubus a 2.
  45. sic ergo nunc
  46. A2 3 4 567 8y 101 1 13 1
  47. 101 0000001001, 4001,0081, 0001, 4601 900(900
  48. iagrendum in
  49. harum puncta
  50. 009,00DII1DO6IV09011190O1I CL
  51. tionum
  52. periodum
  53. cuius
  54. magnituo circuli decimalis.
  55. mpl.
  56. Sasinus enfia
  57. 150
  58. si daretur tangens rationalis ca arcus cognitae ad circumferentiam rationis, facilius haberetur
  59. et
  60. BA,
  61. FBNGB
  62. AC R 3D n DII
  63. sec
  64. sep
  65. sec 1
  66. M-XX.
  67. Aer S Ergo tr-txp rS.
  68. 61 XC
  69. sec
  70. Vr.
  71. sec p Bt
  72. 2YX - XX
  73. = X
  74. .
  75. rr
  76. ret
  77. sec r- r.
  78. r-X)
  79. r- tr+(r
  80. ir
  81. X A F
  82. H
  83. Ergo X B +r ast
  84. pst
  85. . Ergo 6,
  86. Fo ETX-XX
  87. ErX
  88. 2Y = X
  89. Sec: t: r:: r: sin:x:: D: X: s- B.: d - D: sec- r. D.
  90. sin aequ 2ExO XX. sec aequ. r
  91. AYtE s SGX X
  92. sou sec + -D
  93. el
  94. rst
  95. Sin 2r-x. Ex his jam sequentia:
  96. aequ
  97. sin
  98. sec: Y :: Y: r -X: + - D: B. Hinc sec aequ YY aequ. Y, t.d. Ergo BY eq
  99. =X
  100. + -0
  101. rarsus sec: +:: B: X. Ergo secpi LD . irquise L d aqu r. t. D
  102. r- X. Ergo Z - 1
  103. 110
  104. F6N rr
  105. XII
  106. v.
  107. .X
  108. 1r+ tD. Xp tOr r- Or
  109. +0
  110. rr+toI) Ld
  111. Ergo +OY Y+ -. dr. Ergo (t B = + D ⊓ r + - 2r B (+ Fd. seb
  112. Yr+ 16 11
  113. Ergo F -2_. siu D2 + 176 aequ r. Ponamus jam t esse camgentem
  114. Y2- D
  115. vel + diam, rad
  116. B1) rD r- B sit
  117. alicuius gradus qui geometitce hrabetur
  118. videndum an tunc possit A fieri
  119. latronalis. sit Afiet:
  120. Derbaego investiganda ergo intalibus
  121. generalis relatio inter ret
  122. l60
  123. Ergo

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 90v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068255:0180?run=74