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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 78r

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: 0.74.

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. 72v); this page is its right half.

The machine reads it as

  1. Utamur progressione subsectionis
  2. 1 ut CHL
  3. perpetuae. or
  4. L
  5. area
  6. BGC etc
  7. ambitus polygoni inscripti. b erit ambitus polygoni proxime
  8. minoris
  9. ba, seu CA + HL + LC, in AB. Jam area polygoni
  10. dimidii
  11. hujus proxime minoris fit ex duotu ambitus e, in dimidium radium
  12. D in fulcium AF. Ergo ba F eCAF
  13. est autem AFp BFB + ABH. et BFp e posito n
  14. 2n)
  15. esse numerum laterum polygoni proxime conpropius convergentis,
  16. quia BCr C.
  17. Et
  18. fiet
  19. CVa-
  20. Ergo BG1
  21. G
  22. n)
  23. et BFp.
  24. a. 2ba
  25. et b
  26. M
  27. 2(n) Ergo AF+ a- b
  28. sae- e
  29. e
  30. ((∞) Y AF. et BEr a - Va
  31. b) + a - 2a Sae - V + a l
  32. +n
  33. 1) V2a -2a Vae- V
  34. In
  35. 4u
  36. m
  37. +N
  38. quia nei b, erit eri 12 Srae-- sae F
  39. et fF
  40. b
  41. 24a 2 - +Sa -2
  42. e H 12 52 - 13
  43. f 1 24 52 - 12 - 13
  44. 9 1 48 12 - 52 - 52 - 13
  45. et gH 4Ze Y2 - f
  46. Ergo 2Z c
  47. seu 279- C9
  48. e
  49. 92
  50. 4stH
  51. 2
  52. 8
  53. ergo
  54. 27 =
  55. e
  56. S
  57. 2Z- C
  58. e
  59. 1() 4 (22)
  60. 4u
  61. Ergo BG
  62. polygoni proxime inscripti
  63. Et ambitus ejus 2n V2ae-2at ae- b
  64. ponamus BCBa, erit erit BFA a
  65. 2
  66. 14
  67. b
  68. 12aV2 - 14- 1 a
  69. f1 24a1 2 - r2 - 13
  70. Y2 - e
  71. seu 92t
  72. Ergo seu fier = 4q qu
  73. N
  74. seu bea. Ergo
  75. 4n1
  76. e
  77. 4f2YI
  78. 2 = 3.
  79. 2 - e
  80. 5 47df
  81. fr
  82. 4
  83. = 2f3 seu 229- 8Z57 eg- 2(3 47-28
  84. seu
  85. egt -24
  86. Hujus vuloris ope habebitur valor ipsius 7, FHendus ex
  87. 29 - 8fe per
  88. pe cuius ope tollenda est ea litera ex valore v. Cg. ipsius f. qua sublato
  89. sin
  90. sifini
  91. c
  92. en
  93. +
  94. a
  95. c + e
  96. potest h. haberi
  97. Mane
  98. 11
  99. si sit
  100. et esse 3.
  101. seu
  102. Z
  103. B,+
  104. 15
  105. 2n earteq
  106. Ergo y
  107. SnC d
  108. infin
  109. 2y
  110. 2712
  111. per quanlicale
  112. fI

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 78r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0157?run=74