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Leibniz-Handschriften zur Philosophie LH 4, 5, 10, fol. 71r

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. 74v); this page is its right half.

The machine reads it as

  1. Esto. Aequatiodata Solida, quomodocunque affecta, nisi quod secundo termino
  2. carere debet
  3. Aegrano arbitraria
  4. bmY = bnV + b p, sive y +bm
  5. -ny +bp
  6. onatur V e gV + h - b- bm, eoque valore in locum ejus substituto, fiet
  7. qV + h - b (bm + bm)
  8. -ny +bp
  9. 6
  10. 7 b
  11. multiplicando per crucem
  12. sive (V s+BV B
  13. Or +h b -bm
  14. en
  15. -bmg
  16. auferatur ab uno a quationis hag latere, ab altero ejus d valor
  17. v
  18. (+ 2B9. X
  19. Enus
  20. =
  21. 1
  22. =
  23. nt
  24. S
  25. (- β4
  26. X + bm β
  27. + b3p
  28. a
  29. gu
  30. = bm
  31. -nb V
  32. p 92
  33. +bm
  34. +b5
  35. gr
  36. - (7
  37. CV H d
  38. qu
  39. l
  40. ya
  41. Guam Aequationem ad Circulum
  42. esse manifestum est.
  43. Aequationem arbitrariam assumtam multiplice multiplicemus per dabit:
  44. N
  45. a
  46. a lateribus respondentibus aequationis superioris multiplicatione per trucem prodactae
  47. fiet:
  48. N
  49. +B V
  50. 3 op- nb V +b3p
  51. gn
  52. v
  53. quam aequationem sectionis Conita indefinitae inventam, conferamus cum
  54. aequatione sectionis lonicae datae, 2r ==C y W et ponendo cop yt e fiet
  55. +R
  56. +
  57. Hhac = B + bm +X. item H L+
  58. v
  59. gu
  60. Ergo bm +X4 et
  61. Ergo βe bm., et g B F
  62. +2Y
  63. 1Z
  64. N
  65. WVH VFK
  66. Si posuissemus ab initio V bm h V gB,
  67. in navissima aequatione Conica indesmita, V simplex
  68. pret terminus erannisset, ergo K foret po
  69. , et e + nb - 2Y
  70. sed inde sequitur
  71. contradictio, vel sallum nimia delerminatio ex porissimo val ipsius e, qui adhuc
  72. superest.
  73. inventam,
  74. priore
  75. Igitur utilius videtur resumere aequationem scheda spacata
  76. ubi l. et c. relicta sunt. Ponatur C 10. Jamq
  77. s
  78. aequationes instituantur g - β + l ilem g +bml - bin - β3
  79. v
  80. collatisque his duobus valoribus, fiet
  81. Ex
  82. 32 +bml Vn +212+c
  83. Fit +l +l
  84. a
  85. 2
  86. Porro KF + ebr b pC
  87. l
  88. 3
  89. s
  90. es
  91. -2re 42
  92. mum
  93. itemqe 5 b n ( 4bm c) = 4 B bn t 4C2 +C (4
  94. N
  95. n Fg g e
  96. 19

Cite

Leibniz-Handschriften zur Philosophie LH 4, 5, 10, fol. 71r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00069349:0141?run=74