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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 236v

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. 237r); this page is its left half.

The machine reads it as

  1. quoniam res lota eo redist ut in veniamus figuram aliqum
  2. ujus
  3. pom etiam XCK PKIK e
  4. I pono ac etia
  5. cujus differentia sit co,
  6. ideo
  7. fy E. Videtur
  8. id nobis praestare posse Hic ipse firculi quadrans
  9. ab adversa parte sumtus. Nam
  10. sit A Ar, Ayc V A. K A2K A3K
  11. es
  12. ngo
  13. esstergo
  14. 101
  15. pero
  16. 2629. 3838 espectiae erit ef
  17. fiad, A2B, A3D frespective, 1H.E, 2k2E, 343 E
  18. Auter et quia A.KM y. erit et 18. 8
  19. AZK
  20. 20 011-
  21. 3034
  22. et quia 1NE HX. erit et Aid B X
  23. 2X2
  24. 3K3E
  25. . Est autem
  26. ton ( respectios. 8 11 28 -1
  27. 3d
  28. Ergo e 1128, H dx. vel brenius . 82, 1d E p, CdX. Est autem 18. A.D
  29. fergo intublucrati sumus neque ercm protict Z ax. Vel x
  30. d 1a 1020+ 18,
  31. ay
  32. dido
  33. AAttamen remerium circumspiciam quo fane videtur. 3 ut poeramus
  34. A3Kpy 4
  35. 2d387 l
  36. 3R3EHX YI
  37. A5EN
  38. 3E3T
  39. Ergo ad habenda summum
  40. .Ergo
  41. quadratura Hyperbolae. Ergo poteria se haberi spatium Hyperbolicum
  42. b
  43. NE NEH+
  44. EABY
  45. posita T. tangente arcus, cujus sinus est y. radius r. sinus complementi X
  46. qux qu
  47. 2d+ dx
  48. et Stax. Area spatii quadratricis. Unde puldira inter
  49. quadraticem et conchuidem relatio patet, eritus et quadratuua quadratricis
  50. ex quadratura pendebit Hyperbolae, quoniom ex ea etquoddratua
  51. summa Tanus entium ad axem pendet
  52. est area conthoidis exantori ciculo generatora. Ca autem pendet exra
  53. Ad productum radium ACN duatur tangens E N.
  54. siangula similia Ek A, AKE, ea NEA, erit AKBy
  55. KE (X
  56. 3 3sEnt
  57. S+dx seu gumma tangentium ad abem applicata id
  58. aequale areae quad ratrias, ejusque portioni lucivis
  59. Ergo10
  60. Ergo sr ad
  61. Ergo
  62. 3
  63. s
  64. = du sc
  65. Itaque satis est ns nos nosset cosesse id a; sidect c. Error non est Ad co, sed Bd.
  66. 2 d
  67. H ex
  68. X
  69. ut
  70. ut
  71. entaX E, D3E ec 1 . P26, 2830 a3
  72. est autem 2 nam 1B.Dnc0.
  73. 21Ep
  74. Ergo fier: ap tdx
  75. Ergo
  76. 2
  77. cujus rei demonstietio salis experita est
  78. id

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 236v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0468?run=74