ÇкλýÀ» À§ÇÑ ¥å °¿¬È¸:
Constructions by ruler and compass together with a conic
ÃÖÀÎ¼Û (°Ç±¹´ë/¼¿ï´ë)
2013. 03. 21.
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.