Actually, the terminator for civil sunrist/sunset is not a great circle.  
Sunrise/sunset is defined as the time when the upper limb of the sun is on the 
theoretical horizon and occurs when the center of the sun is about .835 degrees 
below the horizon.  So, the terminator line for civil sunrise/sunset is a small 
circle less than a degree from the great circle passing through the center of 
the sun.  This would not be visible on the Sun Clock type presentation of the 
terminator line.

Similarly, the levels of twilight are defined by small circles.  Civil twilight 
ends when the sun's center is 6 degrees below the horizon and is described as 
when you need artificial light to read a newspaper.  Nautical twilight is when 
the horizon is not visible at sea and is when the sun's center is 12 degrees 
below the horizon.  The true terminator small circle is defined as when the 
sun's center is 18 degrees below the horizon and there is no light from the sun 
at all.

The 18 degree value has historical roots from Islamic astronomy.  All Islamic 
prayer times are astronomically determined.  The "al-'isha" prayer time starts 
at the end of twilight and ends at daybreak. A crepuscular (i.e. twilight) arc 
at -18 degrees solar altitude is often shown on astrolabes to mark the end of 
twilight.  Other values such as 19, 20 and 21 degrees were used, but 18 degrees 
became something of a traditional standard that has endured.  The level of 
twilight is highly subjective and depends on local air quality, cloud cover, 
etc.  Thus, the definitions of twilight level are somewhat arbitrary, but have 
endured for many centuries.

Best regards,

Jim

James E. Morrison
[EMAIL PROTECTED]
Astrolabe web site at astrolabes.org
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