[continued from previous message]   
      
      leg 2(sin(10))^2/(sin(20)(cos(10)-sin(10))) = ~0.217376439936 cubits,   
   altitude   
      (sin(10))^2/(cos(10)(cos(10)-sin(10))) = ~0.0377470226626 cubits, and area   
   tan   
      (10)(sin(10))^2/(cos(10)-sin(10))^2 = ~0.00808065625672 square cubits;   
   segment   
      "y" is also the diameter of a circle, area pi(sin(10))^2/(cos   
   10)-sin(10))^2 =   
      ~0.143971899424 square cubits; this small circle is centered at the   
   midpoint of   
      segment "y", i.e. between the drawing's center of circle and center of   
   square;   
      
    * a radial grid of 36 10-degree sectors centered at each endpoint of segment   
   "y"   
      highlights the many triangles and quadrangles evident in this geometric   
   study;   
      a layer of about 20% opacity sector color fills makes distinguishing   
   polygons   
      much easier; primary colors are red, orange, yellow, green, blue, violet,   
   and   
      magenta; for zodiac equivalents, the following chart includes secondary   
   colors   
      and polar angles measured in degrees from earth-sun ecliptic west at 0   
   scorpio:   
      
          SOLID COLOR    R    G    B    C    M    Y   K   sign            *   
                  Red  255    0    0    0  100  100   0   aries          150   
           Red-Orange  255   64    0    0   75  100   0   taurus         180   e   
               Orange  255  127    0    0   50  100   0   gemini         210   
        Orange-Yellow  255  191    0    0   25  100   0   cancer         240   
               Yellow  255  255    0    0    0  100   0   leo            270   s   
                Green    0  255    0  100    0  100   0   virgo          300   
                 Cyan    0  255  255  100    0    0   0   libra          330   
                 Blue    0    0  255  100  100    0   0   scorpio      0/360   w   
          Blue-Violet   64    0  255   75  100    0   0   sagittarius     30   
               Violet  128    0  255   50  100    0   0   capricorn       60   
       Violet-Magenta  191    0  255   25  100    0   0   aquarius        90   n   
              Magenta  255    0  255    0  100    0   0   pisces         120   
      
    * the 36 decan zodiac divides each of the twelve, 30-degree zodiac sectors   
   into   
      three equal parts according to the four cardinal elements: water, air,   
   earth,   
      and fire; cancer, libra, capricorn, and aries, are the cardinal zodiac   
   signs;   
      scorpio, aquarius, taurus, leo, are fixed; pisces, gemini, virgo,   
   sagittarius   
      are mutable; thus aries decans are red, yellow, and blue-violet; taurus   
   decans   
      are red-orange, green, and violet; gemini decans are orange, cyan, and   
   violet-   
      magenta; cancer decans are orange-yellow, blue, and magenta; leo decans are   
      yellow, blue-violet, and red; virgo decans are green, violet, and   
   red-orange;   
      libra decans are cyan, violet-magenta, and orange; scorpio decans are blue,   
      magenta, and orange-yellow; sagittarius decans are blue-violet, red, and   
      yellow; capricorn decans are violet, red-orange, and green; aquarius decans   
      are violet-magenta, orange, and cyan; completing the circle, pisces decans   
      are magenta, orange-yellow, and blue; this circle is the caelestial zodiac   
      (caelestinum firmamentum) with its fixed signs at the cardinal directions;   
      its equator is the earth-sun ecliptic; prime fiducial aldebaran 15 taurus;   
      
    * the terrestrial zodiac is centered in the square, with cardinal signs at the   
      cardinal directions of the earth's rotational axis inclined ~23.4 degrees to   
      the caelestial equator; as a result this oblique rotating 36-decan zodiac is   
      at landfall rotated 30 degrees counterclockwise to place aries 180, libra 0,   
      capricorn 90, and cancer 270; taurus 210, scorpio 30, aquarius 120, and leo   
      300; gemini 240, sagittarius 60, pisces 150, and virgo 330; in round   
   numbers,   
      the terrestrial prime fiducial is the great pyramid at 0 gemini(~29tau53:35)   
      longitude(~6.4 miles due east to 0gem00:00) and 30 north(~29n58:45)   
   latitude;   
      
   [end parts 1 - 6; see part 7 - 11a for continuation]   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)