Given a circle with center M and any point A.
Find two points B and C on the circle so that triangle ABC has maximum area.
#0 - No other constraint on B and C
(Of course if A is on the circle, ABC is equilateral...)
#1 - BC parallel to a given direction (d)
ABC is no more isosceles...
BC in line with a given point P
#2 - AP tangent in A to circle
#4 - A and P anywhere on plane