Reflections in a Triangle

Choose a point on a side of an acute triangle. Draw a line antiparallel to one of the other sides to the intersection with the third; from their draw the antiparallel to the first side, etc. The lines will eventually form a hexagon inscribed into the given triangle. In one case - when starting with a feet of an altitude - the hexagon degenerates into a triangle, the orthic triangle of the given one.

This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at http://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet.

Buy this applet
What if applet does not run?

49551958