Suppose that A, B, and C are 3 points in a plane, such that AB =
AC = BC = 1. At each point in time, A is moving toward B, B is
moving toward C, and C is moving toward A, all with speed v =
This is what the movement will look like. The red curve
represents the path of point A, the green curve - the path of point
B, the blue curve - the path of point C.
At what time(t) will all the points be the same
point? Express your answer to the third decimal place.