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Leibniz-Handschriften zur Mathematik LH 35, 10, 11, fol. 112v

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

The machine reads it as

  1. +
  2. 2
  3. +
  4. a
  5. F Z rEI
  6. Ac E
  7. A parallelogrammo AB CM .. J:
  8. per punctum in eo dactum F.
  9. recta duora F FG abscindere
  10. partem (EA G tateam sic
  11. ut qua eit omnim
  12. possibilum ane quo
  13. nL
  14. A
  15. per punctum late abscindi possnnt
  16. lidea dteapars EBLMG mapima
  17. constructia du. Salvetti est talis.
  18. 1
  19. suuit dE aequalem Ad, C posito
  20. 1
  21. Fd paralletam AM) et EGent
  22. quaesito
  23. par
  24. + sX - fa + f X Xr-2a+ V
  25. AX = 2aX t aa = fa+ff
  26. datur AC et CF quaeritur AH
  27. quaesit X. datur et ratio AN ad
  28. NG nempe Y, et AC, a etetC
  29. es
  30. sit AN=ser ut At v ad aeque
  31. jam AN ad est eat Y egoti
  32. IHX Agr
  33. AW CAG: AH (CL X
  34. ab FD data F ad
  35. Pn seu X-a
  36. quae mullisliciter: x dat A MC
  37. DXXax. x enfini nossom minimumm
  38. er-a + X seu (x - a
  39. 4x - 2a -X =0O BX = 3
  40. +. b C in pitu
  41. in
  42. AnX = a = 7 2. X
  43. 59
  44. t hifferen quid si velum diffram partium sectarum e
  45. +Xx quaqa+ xx1
  46. X+ fx: x -X F- m
  47. X DYsafus
  48. L) XX : x= a = m
  49. X’ax e
  50. L0
  51. XIx + 2a + X. seu X = 2a
  52. unde prodit contindu
  53. XX: Xa
  54. aBin-
  55. =la
  56. Vd non segisse nohi
  57. dit. i non nat eot sur h uc. 1 =xus nos
  58. gisar
  59. se
  60. S)
  61. qutabile quod F 2XdX X a + xa =C
  62. omtum possitilii meximam, vel minimam
  63. + xx (Xa xat XX = meX
  64. ex2fan
  65. =2fX a fF
  66. Lf + a
  67. vo te. + x: N
  68. AX- a7
  69. institum sumendo
  70. 8tx
  71. 1
  72. 16
  73. ut differentu partum sectaru habent
  74. maxum rationem ped olui
  75. x
  76. peseu X- a
  77. seu FXK: 2 +-a m
  78. tc calcubu
  79. nom
  80. ad inctar rectag
  81. +S Xx. Eua = in
  82. 2
  83. etd
  84. Ergo AG=5 X: +
  85. ductu lateri
  86. (F7)
  87. at
  88. e
  89. avex aat ixxam seu sil
  90. X
  91. e) invicem
  92. + Ex AX qua fx n qV + 2X =0
  93. 2X 1ga ( 2XX)
  94. X = 2a ut supraL
  95. FXX: x a
  96. dax
  97. 1 q = xplih gurit den ab s a
  98. d
  99. IY = XY hh
  100. henmturs)
  101. gurt8ynot ooctem oo vmo) in oectios hampea 1,
  102. V
  103. is
  104. est ant
  105. ADa,
  106. s
  107. rato parturo
  108. maxima
  109. 8. 5
  110. Ex parveleli grammo
  111. ABLM ope areque
  112. circuli per punctim
  113. tatum F trausemnlis
  114. paptem abscindere
  115. latem quae sit omnium
  116. possibrlio minima

Cite

Leibniz-Handschriften zur Mathematik LH 35, 10, 11, fol. 112v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068164:0224?run=74