The quadrature of a triangle is the construction of a square having the same area as the triangle using only a ruler and compass - sometimes referred to as "squaring the triangle".[br][br]This applet allows the construction of a rectangle with the same area as the triangle. The applet "[i]Quadrature of the Rectangle[/i]" has already shown how to constructed a square with same area as that of the rectangle.[br][br]This applet, taken together with "[i]Quadrature of the Rectangle[/i]" allows for the construction of a square with the same area as that of the triangle.

Can you now devise an argument that shows that the quadrature of any polygon is possible?[br][br]Does this imply the one can "square the circle"? Why or why not?