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De Constructione, fol. [4]v

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.

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The machine reads it as

  1. Applicemus hanc constrnctionem ad Paraholam Casum praesentis problematis Mimma
  2. ex puncto dato ad parabolam ducendae, ubi ex aequatione generali fit haec particularis.
  3. F 92 yt
  4. X (+ + 1) +24fy
  5. = 2ga
  6. + F) + 2d qa 1) B o
  7. et divisis omnibus per +4, fierc aequatio haec:
  8. Ergo lr0.
  9. r1a.
  10. ergo ( B m.
  11. dq
  12. v
  13. m e (+ +) (+ +), 2s + 2a, n 1 (+ +) 2d
  14. 2mAtb
  15. 10
  16. 6bx + Emp
  17. secta PH
  18. Irn
  19. 4mrdb
  20. A P
  21. n
  22. M F
  23. esrn
  24. A- s.rn
  25. t
  26. Veniamus ad lineas quae
  27. Epsius facilitos et difficultas,
  28. 2 1
  29. X 6
  30. H = nY.
  31. V X (+ + 1+) 2sa (+ f) ida )) X 50
  32. Vc
  33. 2a
  34. m
  35. rn
  36. a6) emil b (+b)9 sr
  37. ne seu
  38. n7
  39. Srn
  40. = +
  41. Rect E P on
  42. 6br + 2mr
  43. srn
  44. reapse ducendae sunt ut appareat
  45. E, o.
  46. 2 mr 1b
  47. + mr
  48. PKe
  49. -n
  50. 6brIrn +2mr 2-rn
  51. 2
  52. emitb
  53. cum 2b
  54. sive
  55. construdu
  56. 6b7+ 2ro +b
  57. S-rn
  58. sA
  59. q L radius: () dungatur recta 2 K et ex K erigatur perpendicularis
  60. ad eam k Hb quae possit:
  61. hic tatem ut 2mr b
  62. 6br srn t2m
  63. et erit G n
  64. et
  65. Jam
  66. Ko
  67. Pri
  68. nv
  69. 2F- ru
  70. Quoniam b in nostro arbitrio est, ponamus
  71. sit B srn, fiet b - + 2mr S- rn
  72. sive erit p r.
  73. ve
  74. 2m +6 pr- in
  75. jam DY e + S- rn
  76. rn
  77. M. et PK e, - n (+ 2mr s- rn
  78. e+
  79. Emrt6rs-m
  80. + 3
  81. sn mr
  82. Jungatur recta 24t et ex puncto
  83. M
  84. rectam normalis erigatur
  85. ps sita
  86. quae possit nr rumr
  87. = n+
  88. R ad eam
  89. +nr, sive tur + mr
  90. 2
  91. ac centro 2, radio 2 H, describatur circulus, qui parabolam secabit in punctis
  92. ex quibus demissae in rectam XV indefinitam, axi paralletam perpendiculares
  93. V erient _ y quae sitae, quae paraulae axi parabolae ordinatim applicatae
  94. puncta sectoparabolae dabunt ad quae ducta recta ex puncto dato
  95. parabolae perpendicularis
  96. pplicetur recta
  97. on
  98. mule
  99. in
  100. 5
  101. est.
  102. Brevissime ergo sicpro parabola datae
  103. EF it ut ab axe ejus biseretur ad axi sit normalis et
  104. curvam ottingat utrinque. Ex punctum En doratio intra
  105. parabulum indefinilo id axi paralleta pegendia in 1B ultra E continuata, sumatur Ek (vel PR
  106. quia puncta E. et P hic coincidunt) Brevissime sic e sit i linea quaedam, b, cujm vulor
  107. ejus duplum subtrahaturm residuau
  108. 1-n
  109. nr in
  110. curvam utrinque attingat in punctis E. et F, producatur ullra E, inque ea ita pr in ea ultra E producta
  111. sumatur EK (vel PX, nam puncta E. et P. hic coincidunt), quae sit differentia inter supradictam b et-n
  112. Rursus ex H retrogradiendo in eadem linea sumatur B B e
  113. in du
  114. Spu Ec 3 erigatur ducatur versus vertilem
  115. ergo

Cite

De Constructione, fol. [4]v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00066617:0008?run=39