Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

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: 0.90.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. E lo
  2. Four such plane Angles as all rogether must be lels
  3. than four righe ones: S0 chac wvith Triansles ris
  4. impossible 1o form any more Regular Bodies chan
  5. chese rHTCC.
  6. IF pou take Squares and join threc DF them tOBC.
  7. ther, ther will make the Angle ot a Cube; and
  8. there Can nO Other Regular Body buE a Cube bC
  9. made with Squares; For Tour Squares joined rose
  10. cher, will noc mate 2 Solid Ansle, buc a Plane.
  11. IE vou join che Aneles oE chree Pentagons toge-
  12. ther, rou will constiture che Angle ot che Dodeca-
  13. Bedron. Buc tour such Ansles cannor mate a
  14. Solid one.
  15. And chree Fexazons joined cogertier, do make
  16. just four righe Angles, and cheresore THeY CANNOE
  17. make a Solid Anele. And as for chrec Heptazons
  18. Or Other Figures ret ol more Sides, ther can much
  19. lels do ir; becaule cheir Angles beins verry obtule,
  20. chrec of them will exceed tour rishe ones. S0 chat
  21. epon the whole, eis plain, that ot chese Five Regu-
  22. lar Bodies, chree are made ot Friangles, one ot
  23. Let ar bethe Diamerer ot any Sphere, and da
  24. OFic. = ab = br. Frect che Perpendiculars ae, ct.
  25. Sguares. and one of Pentrgons, and chere canbeno and bs, and draw de, df, er, fr, and er.
  26. orter.
  27. The Proportion os che Sphere, and os che Five Reou-
  28. lar Bodies inscribed in thesame; from Peter HO.
  29. rigon, Cursus Math. Vol. T. P, 779, And Bar.
  30. rons Fuclid, Lib. 13.
  31. The Diameter OF che Sphere beins 2.
  32. The Circumf. oF the Greatest Circle
  33. Superticies of the grearest Ciroles
  34. Superkcies oF the Sphere
  35. Solidiey oF the Sphere
  36. Side of the Tetrahedron
  37. Supertcies oF a Tetrahedron
  38. Solidier oF a Terrahedron
  39. Side oF a Cuhe or Pexahedron
  40. Superticies of the Frexahedron
  41. Solidier of the Frexahedron
  42. Side ot an Octahedron
  43. Superticies otthe Octahedron
  44. Soliditr oF che Octahedron
  45. Side ot the Dodecahedron
  46. Superticies of che Dodecabedron
  47. Solidier oF che Dodecabedron
  48. Side ot che Tcosihedron
  49. Superticies oF the scosihedron
  50. Solidies oErhe Cooschedron
  51. 6. 2831
  52. 3. 14YE
  53. 12 56637
  54. 4. 1885C
  55. 1. 6229
  56. 4. 618
  57. 0. 15133
  58. 1.
  59. 154
  60. 1. 5396
  61. 1. 4142
  62. 6. 928.
  63. 1. 3333
  64. 0. 7136
  65. 10. 5146:
  66. 2. 785TC
  67. 1. 0514
  68. 9. 57454
  69. 2. 53613
  70. IE OnC OEchese Five Regular Bodies vere requir d
  71. 20 BC cur oux ot che Sphere OF any orher Diameter.
  72. twill be 25 che Diamerer oF the Sphere 2 is 10
  73. the Side oF anr one of Solid inscribed in the lame.
  74. (suppose rhe Cubc F. 1547) 50 is the Diameter O.
  75. any ocher Sphere ((uppole 8.) 10 9, 2376, che Side
  76. ot the Cube inscribed in this latrer Sphere.
  77. Then vill
  78. 1. re be 25 Side OE che Ferrahedron.
  79. 2. ds is che Side oF the Fexahedron.
  80. 3. de is the Side of the Octahedron.
  81. 4. Cut de in exrream and mean Proporrion in B.
  82. and ah vill be rhe Side ot che Dodecahedron.
  83. 5. Sec the Diameter dr up perpendicularty ac r.
  84. and trom che Cenre c, co irs POp, deaw che Line
  85. es curtins che Cirele in s. Let Fallche Perpendicu-
  86. lar 8b. S0is br che Side oErhe Loosihedron.
  87. RFGDLAR Fieures, in Geometr, are Tuch
  88. whole Sides, and consequeny cheir Aneles, are
  89. aII equal tO one anOrHer.
  90. Whence all Regular MulcilateraL Planes are calId
  91. Regular Polysons.
  92. The Area oF such Figures is Epccdily Found By
  93. mulciplring a Pexpendicular let falltrom the Cenere
  94. oFche Inscribed Circle ro any Side by halethat Side,
  95. and rhen chac Produet by the Number oF che Sides
  96. OF the PolYSOn.
  97. REGDLAR Forrification. Sec Forritication.
  98. REODLAR Curves, are Tuch Curves a5 the Peri-
  99. meters of the Conick Sections, Which are alvays
  100. curred alter che same Regular Geometrical man-
  101. NeF.
  102. Bat Trregular Curres are luch as have a Point of
  103. Inftexion; and which beins continued,, do rurn
  104. chemselres aContrarY Way, a5 the Conchoid, and the
  105. Solid Parabola ertrich hath a Sguare FOr IES ParA-
  106. meter.
  107. REGDLATOR, a small Sprins Belongins coche
  108. Ballance in the ne Pocket. W’arches.
  109. RECLS. Sec Basilicus.
  110. REGDLOS, Or Regulc. When anY Aleral OE
  111. Mineral is separared in a Crucible, by Purification,
  112. From ils more grols and terrene Parrs, the tiner and
  113. metalline Parrs will sink eo the Borrom oF the Cru-
  114. cible. And chis che ChrmiAs call ex OI Reguli,
  115. che Royal Or Noble Part OF rhe NIXI.
  116. REGDLOS os antimony, is thus made. NIX
  117. Eogether 16 Ounces OF AntimonY, 12 oF Crude
  118. Tartar, and 6 oF Salt. Peter, all vell ponrdred;
  119. ehien heat a larse Crucible red hOF, and FhrOW inEO
  120. ic 2 Spoontul or che Mixture, presenely Corerine
  121. ihe crucibie vich a FilC. rereac lis Suvontulbi
  122. spoonsut

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/806933011:0706?run=74