Impossible Constructions
The following three construction problems, whose origins date from Greek antiquity, were considered impossible in the sense that they could not be solved using only the compass and straightedge. With modern mathematical methods this "consideration" of the Greek mathematicians can be proved to be correct. The problems themselves, however, are doable, and the Greeks knew how to solve them, without the constraint of working only with straightedge and compass.
Read more about this topic: Compass And Straightedge Constructions
Famous quotes containing the word impossible:
“It is impossible, as impossible as to raise the dead, to restore anything that has ever been great or beautiful in architecture. That which I have ... insisted upon as the life of the whole, that spirit which is given only by the hand and eye of the workman, can never be recalled.”
—John Ruskin (1819–1900)