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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 44r

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: 0.80.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. abere ait
  2. Genealesus hethodus schienhusi tangentibus
  3. ope focorum inveniendis Ejus in sua
  4. Medicina mentis jay 74. tale dat exemplum
  5. sit curra A. MG, axis ABCdE, in quo foci
  6. B.C.d (idem est si non essent in eadem recta, et
  7. si foci semper variarentur) bisecat extremorum
  8. radiorum angulum rad B M D, et angulum quoque seu arcuum CG in H
  9. serc arcum F1E in Gdende appubm CM d, seu arcum iG inH, deniquebisecat
  10. HK in L ducit LM esse perpendicularem ad curvam
  11. Manifestum est BM +bisM d + MM C semper aequari constanti
  12. Sit ordinata MP= G) abscissa AP fiet.
  13. et B BP = b CP c De- d fie
  14. c
  15. AD = d
  16. C spp + bb + crpp +cC + 2 spptdd =
  17. est autem +62 sit AP =X erit B b = R X - β C= X - k d = d - x
  18. fiet db = ex = dc et dd = - dx.
  19. et N seu d sco = deo
  20. et fiet
  21. co
  22. d dco-
  23. pae+ bdx, pap + cd = - 2 pap + 2
  24. App + bb Lpp +CC
  25. Spp + da
  26. in casu maximae est ap = 0 et sit
  27. BP
  28. + P = 2 DP. jam 2DM = r - BM - CM
  29. BM
  30. CM
  31. DM.
  32. fiet BP + CP = 2Dp
  33. s cadB(M sit eoCM
  34. et V HC = . pr C
  35. lam CM + 2DM L BIA = Y
  36. plbes
  37. Y - BM - CM
  38. grio
  39. est
  40. e
  41. Reculam hanc ex praxiu hanc
  42. examinemus in casu facillore
  43. Maxima est alitudae curivae debet punctum
  44. 19.s
  45. Mtar iites ses sa paubil qu mtimiam
  46. Oulari aicum: FHK
  47. per
  48. e punctum R
  49. ipsum punctum C, patet si H. sit inflac
  50. tunc K esse supa; vel contra. excepto unico casu quo
  51. circuli centio M radio MC destcriptus recta BCE. langit
  52. in Es seu cum recta, CM est peruendicularis ad axem
  53. ordinata. Ergo eo casu quo quaeritur maxima curvae
  54. o deberet M ese simi supra c. Sed hoc tantum procedere potest
  55. eo casu, quo C est metro loco inter B et, D hoc solo enim
  56. cascasu H et s H e bifecans FC et K seisecans eG aeque
  57. e
  58. Hruc sequitur
  59. aenoven i aib ete in adte red, haig adeo teorem esselmone
  60. eErgosZ
  61. tantum n
  62. e
  63. 1BC-DC

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 44r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0087?run=74