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1 byte added ,  12:12, September 20, 2012
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<math>\,\!s \approx \frac {180 \times 3600}{p \times \pi}</math>
 
<math>\,\!s \approx \frac {180 \times 3600}{p \times \pi}</math>
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where p is measured in seconds of arc.
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where pi is measured in seconds of arc.
    
The cotangent of one second (1/3600 of a degree) of arc is approximately 206,264.81. No parallax angle for any star will be larger than one second. Therefore astronomers initially defined a unit of stellar distance, the ''parsec'' (symbol pc), from this relationship. One parsec is the distance corresponding to a parallax angle of one second of arc. Hence:
 
The cotangent of one second (1/3600 of a degree) of arc is approximately 206,264.81. No parallax angle for any star will be larger than one second. Therefore astronomers initially defined a unit of stellar distance, the ''parsec'' (symbol pc), from this relationship. One parsec is the distance corresponding to a parallax angle of one second of arc. Hence:
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