Draw three points and connect each to the other two with straight paths. Also, draw the circle that passes through all three of these points. Then, draw a line through one of those three points such that the line goes inside the region you just formed and is equally close to the two other straight paths you formed initially through this point. Draw the circle that goes through the one of your three first points you just drew a line through, through the point where this line hits the straight path that connects the other two of your first three points, and through the point that is half-way between these two other points.[br][br]Consider the two paths from the point we drew the extra line through to the other two of our first three points. These paths hit our second circle before they hit these other two points. Show that the distance from where the circle hits these paths to the points where these paths end is the same for both paths.