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Leibniz-Handschriften zur Philosophie LH 4, 5, 10, fol. 77r

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: 0.77.

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. 68v); this page is its right half.

The machine reads it as

  1. tres
  2. si duae sint aequationes duos habentes terminos imognitorum communes
  3. a illarum
  4. illi duo Cermini semper aequationum duarum collatione, tolli
  5. possunt ret estu RY +LyX + a + y
  6. et
  7. d
  8. S
  9. Xy
  10. + Z Y X + b f X d. tolli possunt xy, et
  11. 2
  12. X earum collatione, quod ita ostendo. X Xy, in utraque aequatione
  13. reddatur Aerminus pujus.
  14. Vimtandem reperisse visus sum, aequationes quibus continetur Xy faal
  15. perducendi, adfericulum Esto radie BA centro B. radio BA circulus descriptus
  16. et punctum in cucumferentia ejus, Xa quo ordinata
  17. D ad radium BA, angulum faciens datum. YAX Y XB
  18. producatur YX, si opus est donec ex B centro
  19. in ordinatam Y X productam si opus est, dem
  20. ducatur perpendicularis BC. Quonam Angulus XAA
  21. YBEVXB
  22. datus est, datus erit etiam angulus BXC, ei aequodis, ergo sic notus. Ga
  23. et et ratio rectarum BC. CX. BX. ponatur BX N.
  24. cut et t ert BC p = X. posito DX BC E. Unde
  25. ex t a
  26. CY, Radius circuli ponatur b, erit CXF
  27. et XC
  28. V
  29. 2
  30. NB- = X
  31. AX - =X, sive X (a -C eitue
  32. TN i seu Y 1 So C X (+) X saC quod 4)
  33. significa = si angulus YXB est obtusus ut in figiora, atsi
  34. idem significaret +, si angulus esset acutus. Ponaum autem hoc
  35. locuresi ergo 2
  36. sve fiet 72
  37. vor quo
  38. =) x 12yx sa ( +Kas- KEbZ
  39. Sac
  40. Jam aequatio d ea est
  41. e
  42. 2
  43. a
  44. (a2
  45. VX +X - (6) 10.
  46. literae autem c. b. mulentur alias
  47. Jam aequatio oata est ne aequivocationem parcant, et ponatur:
  48. D
  49. v (F) sa per
  50. VX + X
  51. V
  52. = (A2) 50
  53. At aequatio data fuit b Xy + ad X + Y + ad 0 dividantur
  54. 2
  55. D)
  56. onia per Fa et si poteda semplicis substituatur ejus valor y + X et multipheentur aunia
  57. fiet
  58. ax +add dyr + aX pdeus + add
  59. fiet.
  60. ga
  61. Xy +ad vita
  62. 292
  63. a
  64. et divedendo omnia per 4d, fiet: + 29b XV
  65. ad
  66. 2a
  67. per du L.
  68. addantur a
  69. Porro lc in circulo assunto in figura loco rectae
  70. 27a F
  71. a
  72. a)
  73. aa
  74. Vq
  75. B~, quam appellavimus X
  76. deo appelletur DX. appelletur X, tum BX erit Y , C X
  77. F) a sa e
  78. ad
  79. L
  80. N + dCY F29a 70
  81. adhibeatur recta XD, quae ad ipsam BX in ratione sit data u et it
  82. et apratio ad cirutum eut.
  83. VX + n
  84. q2
  85. en k
  86. 12
  87. 7.Y
  88. TIX. vD d.
  89. AAS

Cite

Leibniz-Handschriften zur Philosophie LH 4, 5, 10, fol. 77r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00069349:0153?run=74