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Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 37v

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: 0.84.

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. 38r); this page is its left half.

The machine reads it as

  1. quaesita. Idem brevius ita enuntiabitur
  2. sis
  3. ld
  4. Cco
  5. C17
  6. aequ
  7. arc. quadrant in C,Vqu
  8. radi; era
  9. quadratum
  10. et
  11. ex Centro C radio C. B e suralem secanti in
  12. imno normalis educatur ad partes g. recta C o quae
  13. 10.
  14. Diß in duplicata ratione
  15. ipsius C.V portionis radi; usque ad quadcatricem
  16. ad GB totum eadium: et juncta 1)
  17. erit tangens spiratis quaesita in puncto dato
  18. inventa jam tangente spiralis, quaeratur
  19. maxima ejus latitudo, seu punctum 4) tate ut
  20. q
  21. fauvens sit parallela ipsi axi AC vel ipsi
  22. (2) 4
  23. erit ((n) (ipsi parallela) etiam ipsi
  24. x
  25. parallela, ex adeoque si unum punctum Q() parallela
  26. omnes enim n ex constructione sadere intelliguntur
  27. in ipsem QB). jam cumque
  28. se
  29. ) punctum habeant
  30. commune, non possunt esse parallelae nisi coincidant
  31. adeoque cadet si punctum A) determinet maximim
  32. curvae lalitudinem, cadet punctum Z
  33. Hinc jam videamus quae consequantur
  34. rectangula
  35. A triangula se
  36. V
  37. 9D.
  38. +B((n) similia et (Ese
  39. e
  40. similia erit (E) Z ad radium eC, ut (5) aB ae AB(
  41. est autem per priora 4β (() ad (3) 4B, in composita
  42. eatione quemadmodum diximus
  43. EC rad
  44. ergo erit.
  45. aequ. Quadrant are in (C 4)
  46. Radii quadrat
  47. e
  48. Est autem C
  49. aequ
  50. arc. 24β
  51. rad;
  52. Est autem (E)e tangens arcus 24β. seu
  53. e coincidit ipsi +B, et anus tangens
  54. e
  55. arcus complementalis arcus C 4B osta recta A48 est
  56. Jam radius media proportionalis inter tangentem et tangentem
  57. complementi, Ergo ergo
  58. Aac
  59. . aequ. QCrad. arc. 241
  60. rad
  61. Ergo tangens complementi AAG
  62. 8
  63. rad
  64. aqu.
  65. aequatur arcui
  66. maximum spiralis Archimedeae latitudinem
  67. de terminanti
  68. demonstrandum
  69. Quod primum erat
  70. opiratem
  71. ar

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 37v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068073:0074?run=73