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Leibniz-Handschriften zur Philosophie LH 4, 5, 10, fol. 70v

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: 0.71.

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. 75r); this page is its left half.

The machine reads it as

  1. Utile signa polus
  2. quam literas
  3. em biguus
  4. actubere trans
  5. lationum
  6. causa.
  7. ilem copositiinum.
  8. au
  9. sit Rectangulum Ellipsi Hy Hyperboleve inscitatum, (sab hoc autem nomne
  10. dud
  11. parabo.
  12. lam comprehendo, velut lateris transversi in finiti) ita scilicet ut latera ej
  13. axi rectunguli ejus, ED. GI. axi _ sectionis parillela sint, centrum
  14. autem Rectanguli idem cum centro sectio Figurae. Unius autem figurae
  15. nomne etiam duas oppositas sectiones comprehendo. Esto laus figurae trans-
  16. versum AB. rectum RH duos vertices conjungens, trans versum RH.
  17. ex puncto curva
  18. cus ducatur paralleta quaelibet X ducatur pertdicalaris uxi XXL
  19. a
  20. recta occupens uni perpendiculariter lateri ED in Y, et lateri GI in B jam
  21. recta DL appelletur Y, et recta XY appelletur X. inveniaturus valor
  22. rectangulorum ADZ et LXY. EDY si Cy - y, et LRZ, e dx F X
  23. d2b e
  24. 9d
  25. 3.6 X - y
  26. +M
  27. +Z4 V.
  28. fiet: e
  29. fietque
  30. +H
  31. ob
  32. 4
  33. dt
  34. rb c1
  35. v2 +24, v
  36. Cb
  37. adey-
  38. 2
  39. ei luce poni potest:Et quia
  40. fiat b
  41. 2
  42. qb
  43. +
  44. 7- b
  45. 4db - y
  46. v2 + Z4V
  47. et pro =, substitmendo L
  48. 3- b
  49. iam si L e = erit = 7 2- ()1
  50. Z.b 1Y
  51. et + b rZ.
  52. Ley - y
  53. sue =
  54. ve + YqV + qV
  55. 6Z,61
  56. N-
  57. r
  58. x2+ =qV +qV
  59. ep
  60. dam pro ) substituatur et 5. 5 -d Est auter d labu trasversum
  61. edumndrata
  62. figurae et rectanguli lalus il ut in Ellipsi latus transversum sit majus rectangulo, in
  63. e
  64. V
  65. pat
  66. Hypsibola contraEst a. latus transversum +. et recta tatus DElatus rectanguli
  67. 67 - 6v, vel dgr
  68. fuit d4, vel dqb
  69. b + 11
  70. vel te. erit ergo d () + (D) =C, vel
  71. Lr
  72. a 3.b
  73. erit dri =+ += e. ponendo +. e. Y. quantilates positivas
  74. D A
  75. n
  76. p = + f te vel ert 71 5 + Z+
  77. Yit
  78. L2
  79. (ls
  80. e
  81. ce
  82. et po X Y, ponamus WV XY seu v ponamus: 2 X M . YM, seu W - ZM
  83. seu W - LY, seu quia LY G9
  84. va
  85. u
  86. as
  87. +4. fiet ergi. - W. Vy W-
  88. ppro W8 Sulstituam P2rs + X S hem vs Pars 4X s .
  89. t
  90. 2
  91. 1n
  92. e
  93. -2

Cite

Leibniz-Handschriften zur Philosophie LH 4, 5, 10, fol. 70v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00069349:0140?run=74