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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: 0.84.

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The machine reads it as

  1. By Cunters Scales
  2. Ocherile chllo.
  3. THC EXIEHE Ttom22 DeOrCeS 37 Minutes, F01
  4. Dran a Circle about the Frianose troin Wstole
  5. Centre O, let che Perpendiculars e, K, ad
  6. and ihe L ires 0 a, 0 b, al. bb _ atta rO chC
  7. chree Angles.
  8. Fhe Sides oF the Friangle vou de Dectea by
  9. ihe Perpendiculars, and conséqueney à c de
  10. cb, bk = KC and c t = F a. Whcretore a5 Mhe
  11. Wrhole Line a b is t0b 0:: (0 ill che Hats sde à c
  12. be to. the halFkc; bue a c ald kc, are the Sines
  13. Of the Ansles at the Cenrre a d e and L0c, which
  14. Angles ac the Cenrre are sererally equal rothe An-
  15. Sles oF the Triangle c’and a Decause cher Aand or
  16. halfrhe ArKSs chac eHC Lses BE The Friansle do;
  17. Wheretore a b : b c:: 5, 6: 5, a.
  18. Tet F, B, and O, Be the Sides oF an Oblgue
  19. Plain Friangle; a b and 0, ls chree Anoles; here
  20. because There IS nO RIZHE-anGlC, CATCC TINAS MICLE
  21. be atvars given; hac Bo, cuntet co sides and one
  22. chree Sides.
  23. From vhence will arile the etiree Former oF he
  24. vards, to 90 Degrees In the Line of Sines
  25. vill reach (Om 328, 20832 L L
  26. Bers.
  27. Ciren HI and V. V. Required B.
  28. R: 1 ::
  29. R = 10
  30. TI = 20 9201255 = 632
  31. 5, a = 9. 9652480 = 67 23
  32. B = 2. 8853719 = 768 = B.
  33. C ASF VII.
  34. By Cunter s Scale.
  35. Or, be lec Fall 10 the chree Sides oF chie Priargle.
  36. Angle, one Side and rvo Angles, ox else all the
  37. Back eo 5y Degrees 23 Minures, vill reach in
  38. the Line oF Numbers Trom 832 bachatus l P loo es
  39. 768.
  40. THC Extent From 90 Degrees in Line oF Sines
  41. Resration of Oblique Plain
  42. Lmaneles.
  43. AXIOM H.
  44. le:
  45. proport
  46. to one another, as the sines os their oppd
  47. Ansleso
  48. un everys
  49. Civen. Required. PropOrtiOnS.
  50. 50:: H. 5, b. Not
  51. that tne anele b is amti
  52. uOuS, and vou MaIE col
  53. lect trom the Circumstan
  54. ces oF ehe TrianBIC, WnC
  55. eadet de de adldecite et a
  56. cute
  57. re fiest finae chc H
  58. sle b by Case 2, eneme
  59. wist be knomn Bs cakine
  60. the Sum oF b - c. FFOI
  61. 180. TBen 5,0.C::
  62. I: : S, a. B.
  63. :: 5, b. H.
  64. Z. OF che opposite AnBleS
  65. Z. X oF the opporte
  66. Angles, anc
  67. Z
  68. L
  69. Findthe Aneles By THC
  70. Former Ca(C, and thenS,
  71. :: 5, a. B. Or 5, 6. O:.
  72. and che
  73. 10:: H - O. X.
  74. B and E. B - 2 X = BD
  75. Then Wilt I. R:
  76. B
  77. Cotine Ansle C. and
  78. R:: b
  79. axiom
  80. 0. Tine Ansle
  81. And chechree last are
  82. Pec Fall scom chè Arese b, a Perpendicularro che euo tollovuie au.
  83. Base a c: P’or then chewhole will De relolved into
  84. 2 Riphr ansle Friangles; and consequenty by Axi-
  85. om the ArH a b. R : : b d. 5. a. 2110 b c. R :: b d,
  86. , c. Woheretore a b. Bc.. 30, d, a. by Recipro.
  87. caltir) B LrOpOriOn.
  88. (olved by che help oE che
  89. A X LVM

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/806933011:0850?run=74