Ptolemy's table of chords to the arc angle in degrees as is to 3, or more precisely, the ratio can be made as close as desired to ≈ by making "θ" small enough. Thus, for the arc of °, the chord length is slightly more than the arc angle in degrees. As the arc increases, the ratio of the chord to the arc decreases. When the arc reaches 60°, the chord length is exactly equal to the number of degrees in the arc, i.e. chord 60° = 60. For arcs of more than 60°, the chord is less than the arc, until an arc
Less than Perfect ABC ceased broadcasting the show, with the last episode broadcast on June 6, 2006. However, those episodes which were not broadcast in the US have been shown in other countries. The show joined Lifetime Television's lineup on June 1, 2009 in syndication. The network aired all 81 episodes, including the eight Season 4 episodes previously not broadcast in the US. But as of 2010, it was no longer on Lifetime's schedule. As of April 2012, Less Than Perfect is part of the lineup of new Canadian network ABC Spark. "Less Than Perfect" was seen on ATV in Austria, on Nelonen