학부생을 위한 ε 강연회: Constructions by ruler and compass together with a conic

Trisection of an angle and duplication of a cube are among the famous problems of Greeks. 
Although they were proven later to be impossible in general, Greeks already knew that one can trisect an angle and duplicate a cube by supplimenting several conics other than circles. 
In this talk, we show that one single conic is sufficient, which is reminiscent of the Poncelet-Steiner theorem.