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	  # dimensions for an "inside ellipse"
	  my $c = ($a>$b)?$inside_pixels:$inside_pixels*$a/$b;
	  my $d = ($a>$b)?$inside_pixels*$b/$a:$inside_pixels;

	  # get the slope
	  my $m = sin($angle)/cos($angle);
	  if ($m ==0) { $m = 0.000000000001; } #avoid div by 0
	  if ($c ==0) { $c = 0.000000000001; } #avoid div by 0
	  if ($d ==0) { $d = 0.000000000001; } #avoid div by 0

	  # find the positive solution of the quadratic for the endpoints
	  my $x = sqrt(1/((1/$a/$a)+($m*$m/$b/$b)));
	  my $y = sqrt(1/((1/($m*$m*$a*$a))+(1/$b/$b)));

	  # and find the starting points in the same manner
	  my $x_start = sqrt(1/((1/$c/$c)+($m*$m/$d/$d)));
	  my $y_start = sqrt(1/((1/($m*$m*$c*$c))+(1/$d/$d)));

	  # pick the right solution of the quadratic
	  if ((find_in_2pi($angle) < PI/2) ||
	       (find_in_2pi($angle) > 3*PI/2))



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