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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 100r

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: 0.83.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. sumtu
  2. anibi
  3. e
  4. 1)F
  5. problema Tangentium inversum huc reducitur:
  6. tantur linea positione lineae FF, pro quolibet axis
  7. on
  8. videntur
  9. aliter per puncto B sic ut ibi livea C(C) Paqil ad anem
  10. tac
  11. r et punctum C ubi cadit in F(F) factt ejus langens CT angulum
  12. sece
  13. cnda
  14. iuim
  15. in
  16. factens at inclinationis
  17. B. Inveniendus Eligendus est talis, ut si eade
  18. in finitis modis recta CC
  19. ad
  20. veas
  21. ntege interponas inter F
  22. e
  23. a
  24. p. FD et (F) (F) duae
  25. (()(C) habeant nncta commune
  26. 1.quod non semper fiet, si minimas quaeres angulo
  27. hac le Ge inventae C(C) et
  28. . nempe CC
  29. A inter
  30. F F et (F)(F) interponobites
  31. alio qui probremate esset absolute in pte
  32. datot
  33. uabus
  34. latibus lineis FF et (F) (F) quaeritur interponi et
  35. asseculi cognitum ead AB
  36. ei
  37. s.
  38. pdinglanco 1
  39. idmati
  40. .Et sane
  41. olimus quia in
  42. ex hac Methodo
  43. Uvocandi problema langentium ad datas lineas in quad
  44. alerum pexdis
  45. cadunt puncta sequitur
  46. inventionem alterius
  47. erami invenit
  48. non posse sordonatim
  49. vetlae linea dalae
  50. cadat punctum quaesitae linea,
  51. in quam
  52. nam olioqui problema
  53. quaerenda est iois generatio v. g. si essent
  54. haberetur solutum absolute
  55. 2
  56. Ellipses jusdem foci eorundem focorum, videndu
  57. an lex ingrementur ex AB invenori possit
  58. itaut
  59. CC
  60. AB et longifudine ipsia
  61. et
  62. dato angulo (C) C. 1. p
  63. = P
  64. deralum:
  65. Ex dato
  66. angulu faciat est
  67. ACB Assumantur AC olBC, ex his datis datur C
  68. hk+ XX
  69. =p tixtit + XX2
  70. denu datam AC+ BC Axch
  71. LhX = Du
  72. p: Xopkp- nopXp =hph2+ XPXC
  73. nopellatur simml De regula
  74. fili AA+
  75. apphp-pp
  76. speres idipseos
  77. ad
  78. ed
  79. 1
  80. un
  81. Ap; kY = vo: hh + YX in rade
  82. lat
  83. p
  84. (1Y
  85. nis celentas, ver
  86. AC axm serando semper angutum dalu. Nobo
  87. idem faciendo cum altera Ellipti. Ani aequatis sit periori circulae
  88. ata ettictentae est, ut interfectio elaamictitsim
  89. nempe atur A
  90. Ergo et aB, et LBC jam datur relatio
  91. siane
  92. ellissed
  93. Cum sinut
  94. 0o circa foces R et F
  95. AR+ BC quia data est species
  96. tu
  97. Chipsem
  98. datur spere
  99. quid si ellipsui
  100. descuibper
  101. Dato puncto B data

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 100r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0199?run=74