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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 163r

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: 0.75.

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. 164v); this page is its right half.

The machine reads it as

  1. (B4 27
  2. R4c2 =9, 2 2 - 29, duidam pr 144 2
  3. Rq
  4. (R99 2) R92
  5. Aq =)
  6. cleg2 eahrit
  7. 23. 2 Cnodom 2. )
  8. (892
  9. (B4 R9 2) 9d2, -2 a9-
  10. (eq a (e) at
  11. R927
  12. A9c a
  13. 24
  14. Fiet
  15. 29
  16. = 19c 49 = 2, vel Aq Rq-e
  17. 44 = bq
  18. ja
  19. 24
  20. ca=2
  21. Et Primum investigemus C de R4 2 quod ita
  22. fiet.
  23. a+
  24. 4=
  25. F4 (R42
  26. Habeimus
  27. +4 9
  28. a a.
  29. bi ed
  30. (Aqu na Ngo2
  31. tpaz
  32. sa
  33. 444
  34. ad
  35. Quaerenda nunc ratio est eliminandi istud. 2.
  36. 25
  37. RG - 2. etiam si enualiari potest:
  38. a
  39. Ao 3 1o = 19 (2a -2
  40. a
  41. A9 a
  42. fiet
  43. a
  44. R9. 2 e - 1, = 2a - 2 = R9 2 1s -1, + 2 = ta
  45. R9 25- 2 + 2 - 2a = R9 2 - 24
  46. Et si reliquam quoque: A4 multiplicemus per Rq. a
  47. seu 19 a2 fiet Rq 2. Et habebimus:
  48. Ag2) R9 224, ita omnia in circulum
  49. rediere nihilqus sive in a, sive in 2.
  50. eliminando actum est.
  51. Ergo tentemgaliam lationem:
  52. in hac constructione
  53. vS
  54. at= R4. 4 = 23
  55. Rg-
  56. 2924-
  57. initio q
  58. initio R
  59. , 2
  60. C2) eq 2d = Rg. 2, - 2a,
  61. (244 2) A92 Husus Xtumeris
  62. (21f2a) = R
  63. 1 = R.
  64. (42) 2 mterit
  65. 1- A4C1= 3
  66. Cer 13
  67. Oodatur per 49 c
  68. et
  69. Hujus producti sumatur (n habelinus:
  70. sumatur nurtu huus ftip tam, hato
  71. aa
  72. eg 1- 11-
  73. Laterum
  74. c
  75. itaest Circum)
  76. Si Terminico
  77. 2 m
  78. qtd
  79. 1- R4 1- ab, Ngq 4c
  80. 2a 4)
  81. hametrica in infinitum continu
  82. si sit progressio aliqua cujus primus terminus sit
  83. ut sonem Radius circuli, et caeteri termini sint
  84. et sequens terminus habeat, ad
  85. praecedentem; Rationem:
  86. cC m ERqqude
  87. 4
  88. to
  89. apraecedente Termino semper supposito. 2a
  90. Summa hujus procressionis demto erit differentu
  91. inter circumferentiam Hexagoni circuloinscripti
  92. seu Radium sextuplicatum, e circumaserentiam
  93. arcul
  94. dividere perkgq2. et productum rursus
  95. per R49. 24. est dividere per
  96. Hoc dividatur per R92
  97. R442,=
  98. eaque qu
  99. 122V. Est ergo idem quod divit
  100. unia
  101. 92 s. N.
  102. b1
  103. 21)
  104. dividatur pert.
  105. A
  106. ista autem
  107. quantitas
  108. verte.
  109. ha
  110. Multiplicet
  111. pE 194.
  112. net. a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 163r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0325?run=74