Re: [math-fun] Amazing appearances of 7

Ah, Ed, you're just having fun with us. On Sun, 24 Sep 2006, Ed Pegg Jr wrote:

Take any triangle, and trisect the three edges. Connect each corner to the left trisection mark. What is the ratio of the full triangle to the interior triangle?

Everyone knows trisections are impossible: http://en.wikipedia.org/wiki/Compass_and_straightedge#Angle_trisection

Draw 3 circles that are tangent to each other, and which are also tangent to a line. Draw a unit circle tangent to the three other circles. What is the distance from the center of the unit circle to the line?

1, of course: http://lunkwill.org/tmp/circle_silliness.png Although if you meant 3 /distinct/ circles, then it's 0: http://lunkwill.org/tmp/circle_silliness2.png -J