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Leibniz-Handschriften zur Mathematik LH 35, 5, 27, 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: 0.76.

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. 6v); this page is its right half.

The machine reads it as

  1. et pulcherrime angens hujus curvae transcendentis
  2. l
  3. Est etiam
  4. Tangu in tangente autem paratiolverdis quaerenda e et h
  5. sunt constantes, fiet edus aequh. X - C h- dx. q udd
  6. Subi pro e substituendo valorem habetur tangens curvae
  7. transcendentis. Et ponendo dys dy: dx aequ siax: a
  8. d
  9. h - 1
  10. fiet + ah X- e aequ e Vrax-xX,
  11. vel bonamus
  12. dy: dx .. a: ray - yy filt :: h. X- e
  13. seu e
  14. 2: ray-yyS
  15. et eaequa
  16. t
  17. a e trayyy
  18. a
  19. 1E
  20. 12ay -yy
  21. h-
  22. (aequ X - C) aego e
  23. E = 1
  24. : C
  25. iih
  26. fiet denige e aequ. - it
  27. FC I
  28. aeqo = (k-1BE
  29. ex quo repertur valor ipsius h.
  30. c
  31. Hoc quidem protigiora
  32. Sunc sunt justo, et puto rem dan posse compendiosus
  33. atamen hinc saltem Methodum excolui causamus
  34. didicicur nuper non suecessent, quia inter qui alia
  35. quia conceperam cunicum punctum transire omnes
  36. e
  37. plu
  38. parabolocides neglexeramue rectam C.
  39. fliter et Torte simplicius ba aqu. -e X+ ee, fiet X-X + 2C aequ. 0. seu Cry L. X
  40. seu fiet: bv aequ. LXX + ( XX seu. byE aequ 3 XX. Est autem tangere
  41. e
  42. paratolocidis: b k. yE
  43. -
  44. posito P esse foroutam uco ordinatam, curve quadrandae, nempe BP
  45. jum
  46. seu - = X: p4). bh. 1,E= 2. jam 6y aego 2XX fiet - =x: p aeq. hXx: y seu
  47. y aequ. phx. rursus y aequ. XE:
  48. X aequ 2b. phx. seu X
  49. i
  50. ala
  51. sit
  52. 2b. Ergo denique fiet:
  53. ek: h
  54. aequ 2b. h. P seu X, aequ 2b hp
  55. s
  56. lag. 2b aequ log. 26: h aqu = log. h. seu l.g 2b aequ - h. logs. h
  57. 2h: h seu X4 g. (Xp, ex
  58. aequ 1. Unde rattur, min s
  59. seu 2: k , log. X _q. 1og X + log. P. seu a aefo 2log X + 2log p: log X. son 12. X.B
  60. quadrandi figuram quamvis, potest enim s assumi pro quacunque et logu
  61. unde habetur b. et fiet:
  62. posita p aequ. VraX - XX. siet: X
  63. seu
  64. seu 2.h log. Xqulog X += log 24- X iloghabita ergo hoc modo h,
  65. itemque b _ (quia log. 2b a qu. - h. logh) fiet 2b y aequ XX quadratiix
  66. 2
  67. aiatipu arietem baquti u uit bu 1.
  68. lipaga fret haey 2. A 2baque 11 2. bug. 1. 2

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 27, fol. 7r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068045:0013?run=73