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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 245r

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. e
  2. x
  3. a += = a +2+ L
  4. a + c
  5. a
  6. aa
  7. COco - CBC+ CB=
  8. CB + CB. sit
  9. Xc
  10. r ac = (BY: 5. seu r: ac = (pi)
  11. seu ac (B=rC
  12. =LCB+S+ CB+CB
  13. C
  14. si sit Circuli seu
  15. Ellipseos aequilatera
  16. sit Axis vel diameter
  17. AD AB, centrum C
  18. vertices oppositi A et B
  19. et fixS AB tumu B produ
  20. catur i tra Et producatur
  21. is AB trans B usque inD.
  22. ita ut B d sit aequalis sermi
  23. a diametio BC
  24. detur arcus circuli
  25. si jam
  26. AF
  27. et junctae DE, DF productaeque
  28. occurrant tangenti circuli GA
  29. ac: CB:: FL: Lβ. jaM LB = _- cβ in A et H, constat rectam
  30. et FL = a Yr: a. fict; RC: CB.
  31. GH esse circiter aequalem arcui
  32. : rr: C0 : W - CB. seu cco coCB= EAF. seu triangalum A ahCH
  33. =Vr. CB. _C co et Co== cB+ S.. esse cirliter aequale oectori cEAF
  34. jam C= SZrY Bate
  35. e
  36. Ergo trans Quaeritur an similia fieri possint in Hyperbola
  37. feratursemet
  38. i inier ut sit triangulum GCH circiter aequale sectori EA
  39. ettin ex
  40. innae XR
  41. ad ak
  42. a quo figurae inspectio non videtur abhorrere
  43. itaque et triangulum HH aequale erit sectori CAF
  44. seu loganithino ipsius eL vel FL
  45. quo.
  46. t quo posito ad constructionem seu ad Logaritimi inven
  47. 2s
  48. et
  49. des
  50. tionem nulla, optus foret Hyperbola, sed con-
  51. uctio haberetur talis. sit numera C cujus quaritur Loga
  52. n Cz
  53. a In Lamina aliqua
  54. ducta
  55. u Vu B, itant Ac Bisla ac. Iphatteadett huhalus dt ) ea
  56. apl
  57. se secantes ad angulos rectas, quem bifecet psa
  58. propositus vir
  59. ets
  60. restmd. Jam detur numeus cujus logarnithmus quaeritur, it
  61. sumatur in alteritio crure anguli ad C recti, ut in CQ, et sit) numerus
  62. ab
  63. ille CL. et ex L supra (ad partes A) erigatur normaliter LF
  64. r reciprocus ipsius eL (utrigque enim est idem Logarithmque) et expuncto
  65. culu solet
  66. eoa ad punctum alid fidum D quod t AC a in
  67. et ErCtZX= Co
  68. ovasito
  69. numeri eL vel LF quaesitus. 2
  70. ita
  71. ex educ
  72. 1s recta
  73. eut ent
  74. cim addac
  75. et2
  76. prenu
  77. Lubetenti
  78. recto

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 245r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0491?run=74