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Leibniz-Handschriften zur Philosophie LH 4, 5, 10, fol. 72r

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: 0.75.

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. 73v); this page is its right half.

The machine reads it as

  1. Esto Aequatio solida data, quomodecunqua affecta
  2. 4
  3. +Cy +m + bn. V 4B70
  4. sive y2
  5. . a
  6. V
  7. Su 3 + ly y +m Y AnV + BBp 1110
  8. pro y ponatur ejus valoi pro arbitrio sumtus ex aequatione arbitraria hac:
  9. ea
  10. y sigX lV fiet:
  11. qu at 2
  12. 1a sa
  13. +mgX. Bul s anus + r0.
  14. jar
  15. Destructisque quae s tollunt, et Et loco = V, rursus ponatur ejus valor,
  16. h
  17. nempe
  18. omnibut
  19. Xi s, ordinatisque omnitus, et divisis per q
  20. auferatia ae
  21. n
  22. eaequatio arbitraria assumta GX ∞y - y. 110.
  23. et ita ordinando habebimus
  24. + Im X
  25. =ml V
  26. in
  27. equ
  28. +Vp po. cujus aequationis
  29. icum patet esse
  30. Circulum.
  31. substraltat iet
  32. aquationis
  33. conica universalis
  34. et
  35. Si loco aequationis arbitrariae assumta simpliciter,
  36. ndefinitam
  37. aequatio eadem multiplicata per rationem. Qua
  38. futura est ad sectionem coni locus futurus est sectio
  39. et aequatio apsa itu sareto.
  40. +rm k.
  41. 2g..
  42. in
  43. =rml V
  44. eg2
  45. ern
  46. +rp. F
  47. Hug Et hujus sectionis conicae cum ciculo intersectione cum circulo, solvetur
  48. problema solidum datum.
  49. Tantum inveniendus est valor rectarum
  50. B. et g. quae pro adbitrio assumtae sunt: id vero efficiemus conferendo
  51. cum aequatione ad sectionem Conicam universalem hujus formae:
  52. 2
  53. es
  54. Erit (1) Ber
  55. tC
  56. +
  57. re s64 sive er AHY-a
  58. et e y 2 r6- 4ler ( gr = (ag4 8rgr
  59. 2
  60. unde du hora sis BE
  61. 2ng
  62. 2
  63. 1
  64. 2ge
  65. YC
  66. 0
  67. Sxelg + _l gr ptrm l- 8rn - Vr
  68. C si arsul -8r n -(3r- 4lg7
  69. vel exter3- 1
  70. Ergi
  71. a) d im - ir-
  72. 8rq
  73. vel 2hr 2βg0
  74. 2Y9.
  75. egr
  76. universalis.

Cite

Leibniz-Handschriften zur Philosophie LH 4, 5, 10, fol. 72r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00069349:0143?run=74