A square with the same area as one of these shapes can't be drawn with compass and straightedge alone.
A square with the same area as one of these shapes can't be drawn with compass and straightedge alone. You cannot draw one of these shapes through a non-square rhombus's four vertices; as a result, those rhombuses are not (*) cyclic. An ellipse with both focuses at the same point is essentially, for ten points, what shape, defined as all points an equal distance away from a center, through which a diameter can be drawn?
A square with the same area as one of these shapes can't be drawn with compass and straightedge alone.
circle