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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 133v

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: 0.76.

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. 134r); this page is its left half.

The machine reads it as

  1. 1tX
  2. en
  3. evspl. G
  4. sinu BD, s. arcus AB AFB, a. sinus ve
  5. compl.
  6. sinus arcu dimidii pu V+ BE Sinus versus arus dimidii
  7. ert 8 sit KHGE AT tanges
  8. 15
  9. Taa
  10. +_
  11. = b
  12. 1,23Y 1234, 5 Y4 1,2, 24, 5, 6, 7Y6
  13. 607 a - a
  14. + a
  15. 12,1 8, 1 2, Y 32, 112, 3,4, 5, Y
  16. 1781, 2, 1, 2,5, 6, 37
  17. +8 a + a +243 + 17a et
  18. FY- ae + a- a
  19. 1, 2Y 1,234B 1234CbYSpdG
  20. -
  21. r a 4 a
  22. Er 15Y4 315Y6
  23. 4 1pY 16, 17h, IY 64113, 46, 6Y
  24. aequatio 2 multipetur per b et additione facta fiet aequationum l. et 2
  25. (+ ba,
  26. ec. ponendo terminum cubicum equ. 0 fief. bp, - 8
  27. a
  28. Ergo (- 8V p a - 4a. Ergo apps +80
  29. ba ere arroria aec
  30. 8,67
  31. 41130H 160
  32. ap b +E. E. a b + 2b+C2
  33. B0.
  34. a1 b+c
  35. er major in quadrato
  36. adic
  37. qual
  38. simililer aequatio A multiplicetur per b. et additione facta aequationum
  39. e
  40. 6
  41. +r = a
  42. aimo minor fractio
  43. rponendo terminum a p0. fier bp- 16.
  44. 2r oe
  45. 3 er4, fier: + bKH+bY bq
  46. ErgoBpa
  47. id
  48. + V 16KY
  49. Y + 164
  50. vel a p5GE
  51. 2Y
  52. +b44l
  53. 16,1477
  54. 167
  55. + (164) 24 +, +3 a, seu 3a ut G
  56. 2
  57. PY
  58. seu a CFC+ + FE- AD
  59. r
  60. a 5 29CF12 Ergo 6 a a6 na + a, 24C412)
  61. 4
  62. Ergo Cp7. 1 a + a Unde haec nascitur constructio
  63. 2a
  64. constructio.
  65. Dato arcui AF B rectam aequalem invenire
  66. A
  67. a
  68. 2o
  69. ad
  70. 10
  71. sagyi
  72. c ipurs
  73. .
  74. verte signo)
  75. Bifecetur in F pinus exc sit arcus AFB centro G des criptus. bisecetur in F. jungantur
  76. AV GA, GF, AB et ex cujus chorda AB simus sagitta FE, sinus ndx versus AD
  77. in quo producto sumatur AH sedecupla sagittae FE; sit AL tertia pars ipsius DH
  78. funde erigatur perpendicularis LM, occumens circulo in M, et juncta AM
  79. erit arcus quam proxime aequalis
  80. Alia appropinquatio ex aequ. 1. et 3.
  81. cogor
  82. set a - + a t)-a
  83. abc ei b ba3+ ba
  84. et bi+
  85. eErgo 3(Y- ac piOra (ra
  86. A
  87. Ere quil ba, on
  88. Ergo 35ra se
  89. seu quantitas quae sit ad sinum BD ut radius AE ad est ad diametrum AN. Jeta cors 2Y +C DG auctum er
  90. menti
  91. 70rb.
  92. intia parcarcus
  93. sed maximum eut compendum si a et a simul tolli possint, tunc enm erjor non multum
  94. excedet nuli terminum a. Quam in rem utemur Teriebus, l. 3. 5
  95. fver te)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 133v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067993:0268?run=39