In the duplication of the cube problem a curious curve arises (see W. Knorr, "The Ancient Tradition of Geometric Problems", pp. 51,52; fig. 3):
Let AD be a segment of a straight line anbd consider the circumference of the circle of diameter AD. Take a right triangle AKD, where K lies on that circumference, an draw KI perpendicular to AD and IM perpendicular to AK. Then, M trace a curve when K goes on the circumference of the circle of diameter AD.
Can you tell me anything about this curve?. Has it a proper name?. Please, tell me all aof you know about this curve.
Thank you, JUAN TARRES Facultad de Matematicas Universidad Complutense 28040 Madrid, Spain.