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Leibniz-Handschriften zur Mathematik LH 35, 15, 6, fol. 19r

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: 0.85.

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

The machine reads it as

  1. puncta et
  2. sit planum Horizontis ABE. verticale ABC, reB aequales sit sin sublimi
  3. punctum D, in plano verticali superto recta horizontali AE, et jungendo Ad, BD, CD, existant duo
  4. aeque elevata, et
  5. plana rigida, ABD mobile circa AB tanquam axem immotum, et BCd cohaerens priori, mobile
  6. circa axem Bd, sed qui ipse bintiquest mobilis puncto tantum B immoto eaque lege, ut
  7. punctum o sempe maneat in plano verticali super AE, et punctum C semper in plano
  8. verticali super AB, quaeritur an et quomodo effici possit ut puncta e et D durante
  9. motu semper qualiter absint ab horizonte, seu maneant in eodem pluno
  10. nomzontali. Transeat ergo C in (C) et D in (D) oportet (C)D) esse horizanti parallelam
  11. DatiY BC vel BC) assumatur B(F), sinus anguli
  12. rotationis rectae BC, ergo datur et C) (F). Rursus datur A(D) = Ad, et datur etiam
  13. Est autem CD aequabis ipsi () (1)
  14. = (C) (C) ex hypothesi Ergo datur et AE) = AD - (C) (F)2 ergo dabitur et
  15. 3E) -
  16. in Bd = BE
  17. 2
  18. s
  19. p
  20. 2
  21. (C)F
  22. 2
  23. =BD = BE) + (E)
  24. + ( (C) (F). Ergo BD = AB + AD ( (C(F) + ()F
  25. Ergo
  26. evanescit CF variabilis, quode esedabatur, regeadeum praestar potest
  27. posito quad ratum a Bd aequari duobus quadratis simul ab AB, et Ad, seu
  28. oportet
  29. angulum BAd esse rectum
  30. sed praeterea cum BC est verticalis ideo
  31. cum utique cd semper sit horizantalis utique angulus oportet angulum DeB esse rectum
  32. 2 Hinc si cB = AB, fit Cd = Ad
  33. erque B D = BC + CD seu CD = AB + AD = BC
  34. 2
  35. sed (F) E) = CD est autem (F)E,
  36. x
  37. AF = Ad - (C) (F) et
  38. A(F) = AB - BF) et A BF, = BC - (9F). Et fret hinc
  39. V
  40. AB + B F
  41. 2
  42. 2
  43. - 2AB. SBC -CF + BC -((F,. Ergo fiet
  44. F) (E) seu s CD seu (ABA Ad - BC = AB= BAB - 2AB + BC - CF + BC. ( Ad) (C)e)
  45. AF
  46. seu fit 2BC = (C) (F)
  47. 2
  48. qse
  49. = 2 AB. SBC- CF seu 4BC + (C)F,- 4BC. (C1
  50. AAB
  51. +AB. BC = 4 AB. CF) L ubi si facerem AB = BC ex, anescerent caetera
  52. praeter (C)(F
  53. e
  54. Itaque resabsante obt et perfecte obtuneri non potest, sed
  55. tantum appropinquando
  56. si res processisset commode haberi potuisset Collis Metallicus
  57. qualis est
  58. suster
  59. agglutinatae
  60. nullum hiatum inte aperiendum sese et claudendum admifferent
  61. si DCCd semper essent in eogem plano cum basi ABAB
  62. Complicat naviu AABB manent immota Dtert ad horczentem ABB
  63. et in eum tandem pervenit, manens seuper in verticali plano AAd; sed C et C opposita maventes
  64. semper in verticali plano ABC tnden sopi appopinquant donem pervem ant
  65. simal in horit outem

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 6, fol. 19r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068208:0037?run=74