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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: 0.77.

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The machine reads it as

  1. MONSTRAFTON
  2. Ci = 5. = d.
  3. = b
  4. becalse b - - f = 2L
  5. () 25CL Cucl.) and f = 0 by Step. r. Where-
  6. Do C
  7. 5 = 2L, becaute 5 F b = 2 L
  8. (By 13 ef.) ande = b (b7 Step. 2.) Wheretore
  9. LL. vel the last Fieure.
  10. COAOLLRkF II.
  11. Tuo Righe Lues as Lia Parallelro a Third,
  12. wrhich curs ox crosseth ehem boch, and conse Ansle a == b, and 0 al(0 == b, becaule che
  13. quenely (since an Ansle is che Mucual Incact.Outer Lines are Parallel ro che Inner one:
  14. Thereforeche Ansle a = 6y 1. c. TheEWO OureF
  15. Lines are also Parallel by Cor. 1.
  16. ne
  17. because o = o irs Verrieat or oppo
  18. ole, and o =f, bxthe precedene Corol-
  19. aF)
  20. is
  21. C = b, becante = 10 a, ntich is = b.
  22. 3
  23. di because:
  24. orored che lame ray
  25. Thus the ervo Lines, a b and c d, de
  26. it fhey are egualr Distane L Cacu orher in
  27. e, BD, bd, and in all orher Places.
  28. because a
  29. - b,
  30. Tore 0-)
  31. =cn
  32. COROLLAEY L. c.
  33. Pnrallet Lines P p, have the Came Inclinatam
  34. and a = b
  35. one a5 tha OrHex, to any RighE Line 25 Z Z, as F, are Parallel to cach orher. For Sincethe
  36. on oE rvo Tines rhich meer Il a POinc) che Fx-
  37. ternal angle ot a, de eguut Inter-
  38. nal and Opposite one, fOr b: That 16, 0 = f,
  39. im
  40. a
  41. eROBL P M I.
  42. A. F29Bt LnC as Z. veins siven, ano2
  43. ther Lael e0 it, theo A, a siven Point.
  44. it must be becaule the uppet Lalauet L, LsCC.
  45. more or less inclinedto L L Thanche lover l’a-
  46. rallel p is; Wtrich if crue, chen che Lie Cal
  47. be Paraltet; wohich contradicto ihe suppoli.
  48. rior.
  49. =
  50. aotOSFF+ON.
  51. For it o be nor equal tof, and a nor equal E0 B,
  52. ARishC m L L. Saci bn cd L allet L. ines
  53. pates the Alcernare Areles 0 =5, and
  54. b; also 0 = d, ant
  55. o Incernat AnBLC c- ( b, or c )
  56. ina t
  57. Fuo LLSHt OnCs
  58. c
  59. 3
  60. Thar i3,
  61. From A draw a Line makino any Anple, 25
  62. ABC, wich ehe siren Line; then serrins Me
  63. FOOE OE the Compasses in A, make c AHG(C
  64. BAC = AB C 10 MaII C AO be the Linc
  65. reguired, for che Ansle A = 10 ihe Alerrace
  66. Onie B.
  67. PARALLKL

Cite

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/806933011:0601?run=74