Famous Problems Of Elementary Geometry : Kessinger Publishing : 9781161620917 : 1161620915 : 23 May 2010 : Famous Problems of Elementary Geometry is a book written by Felix Klein that explores three classical problems in geometry: the duplication of the cube, the trisection of an angle, and the quadrature of the circle. These problems have been studied for centuries and have captured the imagination of mathematicians and non-mathematicians alike. The first problem, the duplication of the cube, involves constructing a cube with twice the volume of a given cube using only a compass and a straightedge. The second problem, the trisection of an angle, involves dividing an angle into three equal parts using only a compass and a straightedge. The third problem, the quadrature of the circle, involves constructing a square with the same area as a given circle using only a compass and a straightedge. Klein provides a historical overview of each problem, discussing the attempts of ancient Greek m