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: 0.81.

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The machine reads it as

  1. 00
  2. the Polrson, and trom thence dra Lines t0 c.
  3. very Angle a b, a c, a d, ecc. For ther Mall make
  4. 25 many Priangles asche Fisure hach Sides.
  5. The Angles oF any Polyson taken together, wil
  6. make evice as many Righe ones, excepF FOUT,
  7. 25 theFigure hath Sides.
  8. Thus: HF the Potyson have lx Sides, (as inthe
  9. Figure above) the double of chat is +2; From
  10. Wohence cake 4, there remains 8. L Cay thar aII
  11. che Anoles b, c, d, e, f, e, OF thac Polyson cakren to.
  12. gecher, are equalro 8 Righi Angles.
  13. For che Polyson harins 6 Sides, is divided inte
  14. S Frianeles; andthe 3 Argles oF cach, bY L. c 32
  15. Eucl. are equal 10 2 Righr ones; (0 char all the
  16. Angles rogether make 12 Righrones: But cach
  17. ot chele Friancles hach onc Angle in the Poine
  18. and by ic ther complear the Space round the laic
  19. Point; and all the Angles about a Point are knovn
  20. eo be equal co 4Rishr ones; Wheretore thole L
  21. caten From 12, Leare 8, the Sum of che Righe
  22. Angles oF che FexasOn.
  23. So chac ris plain, che Figure hach tvice 25
  24. many Righe Angles, a5 it hath Sides, CxCCPE A.
  25. B C. D.
  26. is cqual ro a Rectansieu Lansle, one ot wtole
  27. ochex he Perimeter (or dum ot alt he Sides) 0t
  28. he PolyGom.
  29. IF vor take a Point, de a, dny where wictiir
  30. Every Polyson circumseribed about 2 Circle,
  31. Legs Mall bC the Racus ot isse Circle, ane the
  32. le
  33. Mrii
  34. Lec che LineF A BC
  35. B
  36. equal t0 dius f
  37. and eO iC aE Righe AN
  38. oles drai che Infinir
  39. Linc ABC B, OC. Ou
  40. se trtien latie
  41. EOAB, B B = 10, 1
  42. AB
  43. 1di C
  44. ec. 50 chac che whole
  45. Line A BC D L A
  46. may be equal to chc
  47. Whole Compals Or Pe.
  48. rimeter oE the Polyson
  49. AISO deaw FF, P2.
  50. bbdc. a
  51. rallet 10 A A; CO char
  52. all che Porpendicula
  53. EB, FI, F k, (90. IM2
  54. de cyuatoa Hladius
  55. su ca
  56. tcll eta
  57. roche Trianole a f b i
  58. the Polyson, andthe
  59. ed t
  60. oIhC ACFD
  61. cf d, ec. 50 chac al
  62. chese Triangles caket
  63. rogether, will beequa
  64. 20 al chese in che Poly.
  65. sonus or co ehe whole
  66. is then plain
  67. a C Wocl de eisua
  68. 0l950
  69. Butcte A F A A is
  70. C
  71. dl equa
  72. equalro all ches Tri
  73. angles wichin cheParal
  74. lels; becaule drawin
  75. the Lines BF,
  76. t
  77. (90. The
  78. eo che AF AB; ch
  79. 30
  80. dd = 2+ CD
  81. WVheretore che LeI
  82. ansle PA A is eo
  83. re
  84. he Lorso o
  85. obe provec
  86. COROLL ARY
  87. tence erery Regular Polyson is equal co
  88. Rectansle Trianste, one ot Wwhote Legs id
  89. the Perimeter of the Polyson, alia elle Olties
  90. a Perpendicular dravn tront c e
  91. one dt e dideo De e Polysono

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/806933011:0643?run=74