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ÇкλýÀ» À§ÇÑ ¥å °­¿¬È¸: Constructions by ruler and compass together with a conic

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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.