Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. -

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.

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The machine reads it as

  1. Demonstration.
  2. Onthe Cenere a wichthe Distance a c, deleribe
  3. a Cirele, which will Incerlect boch che ocher sides
  4. Ot che Triansle, andrhen Z d Will reprelenethe Sum
  5. Ot the Legs da and a c: de ill reprelene cheir
  6. Disterence, and d fWvill reprelene che Diserence 0
  7. che Segmenrs of the Bale made by che FaII oF the
  8. Perpendicular a P.
  9. Then I CaY, d c: dZ:: d c: df: ThacIS, The
  10. Dase is to the Sum of the Lezs:: as the Difference be-
  11. omeen thetrmo Sides is tothe Disserence of the Serments
  12. of the Base; 25 is apparene trom Prop. 67. OF Par.
  13. dies Sixch B0ol, alter drawins che Prickt Lines
  14. eo and f2.
  15. And ihen the Cale will Aanel chus.
  16. C ASF III.
  17. GirenE, O, B, all thechree Sides. Requiredche
  18. Ansles. Sec the Figures betore.
  19. FCay, by chis Ariom, B: H YO:: F -O: X,
  20. Which expresses che Disserence ot the Scomenes ot
  21. the Base, =df in che Figure.
  22. And chen havine sounc X; hale B. I tall X = d P,
  23. the greater Scemene, and half B - halF X = pc
  24. the lesser, by irhich means the ervo Righrangled
  25. Triansles a d p, and a p c, will be solved casily:
  26. FOr d a: Racus:: d p: Co sine oP che Angle d.
  27. and a c: Radius: : 25 p c: 10 che C0 sine oF che
  28. Ansle c.
  29. Tue Operation of the Six l ases of Oblique
  30. angled Triangles.
  31. C ASF L.
  32. Civen H, O, c. Requell
  33. O: 5, c:: H: 5,
  34. The Numbers ot ea Lansie, ave a5 Tollons.
  35. 38 OC
  36. tt
  37. =91
  38. II = 780
  39. =
  40. =
  41. e. 8920946 = 780
  42. Sum = 12. 4770632
  43. S, b = 9. 9031477 - 53 81
  44. 54 = 347.G
  45. 9. 5849685 = 22 37
  46. E H
  47. Find sirst che Anele B, by Case 1. etien vill a
  48. be tnoivn.
  49. 5, c : :: 5, a5
  50. 5, a=
  51. 2. 5739154 == 374 9
  52. 9. 9864273 = 2OqY5
  53. B = 2. 3133142 = 945
  54. Siven (I, O, c. Required B.
  55. S,C = 9. 5849683 = 22 39
  56. Sum == 12, 5603427
  57. P A 8F 1L
  58. _en c, b, O. Required FI.
  59. Ot = 22037
  60. 2. 5739154 = 374
  61. 5, b = 9. 9031084 = 53 8
  62. Sum = 12, 4770238
  63. HI = 2. 8920553 = 780
  64. CASE IV.
  65. Civen t, a O. Required b, c.
  66. H+9: 11 0.. ,2K op. v. 2)
  67. -
  68. +I 1 O = 1154 9
  69. FTalE Z OpPOsIC AnBles = 37 52

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Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. - . Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/806933011:0852?run=74