Quote:
Originally Posted by Ether
It is considerably messier than the trig solution posted earlier.
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Interesting. I cringed when I saw the trig solution because I thought it was far messier than the Euclidean solution I had sketched out (basically the same one you've presented here). In general I find Euclidean geometry to be far more elegant than anything using trig or Cartesian geometry. I guess it's just a matter of preference.