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Leibniz-Handschriften zur Mathematik LH 35, 6, 26, fol. 7r

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.

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The machine reads it as

  1. (CX + 11XX+ PXFB
  2. 1a+ HX t 13 XX F13X
  3. 10+2, 161
  4. 1 et Ex + MXX +
  5. 13X
  6. 10
  7. t
  8. AIX +10
  9. +2.10. tE. 101 t 21011XB
  10. ex(m + Am)- Imamnt 2 sn
  11. (2 (e Im + np) mnp +2 lmnp
  12. El r5 + Slmnp) = erss Hlmnp +Er5 Amnp
  13. ergo oportet esse rrss+ lmup=rrlm +ssup. Eo jam res redit
  14. renfiet se = rrlm Immp,: rr np ut Y et s habeantur
  15. latana
  16. rationaliter _ 55= en q In (rr- np) e: (rr- np) Ergo vel
  17. erit S5= lm vel rr- np quod est contra intentum
  18. Et praevideri polerat non posse aequari r5 Ctunp, et rilm +5 sup, quia
  19. e
  20. F una est Ambigua duorum, altera qualilor casuum
  21. XX (X alXX + ~C) = y. yxax pendet ab xx dy
  22. X + AbXX 1 aabb = gyXx
  23. X + ab XX + ac = 0 seu X + ab XX + aa bb + =y - Labyu = = aabli+ y
  24. c
  25. yu
  26. XY + abXX+aC, : XX = yy
  27. = L abgu= aC seu XX + ab - =yy - ((e - 2abyy + aa bb)
  28. aC
  29. Ergo datur (dx V tabxx +aC) posito dari (dy s(y- rabyu +aabb
  30. e
  31. a
  32. =gaC
  33. L + ab XX) 4 aC = (X + abXX + aabb + 2aXXZ + el aabZe +qyaa
  34. a
  35. Cportionis fmra
  36. Quando quadratura aliqua reducitur ad quachaturama simlli
  37. ut eo casu, quo partes figurae comparari
  38. interdum possunt inter se, ut in circulo et hyperbila, et ellipsi
  39. ita prodirent aequationes quadratoria.
  40. rbZ + CC = AR ci + 2CZB + 7Z on fit Z + b = 2CV + ZVY
  41. =2CV
  42. ov- 1
  43. dq A(22+ b7 + CC, 2) = s dze. C+ 20, M

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 26, fol. 7r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068071:0013?run=73