IMO 1966 LL CZS28

Let there be given a circle with center S and radius 1 in the plane,

imolonglistmathematicsolympiad

IMO 1966 LL CZS28

Origin: CZS

Problem

Let there be given a circle with center S and radius 1 in the plane, and let ABC be an arbitrary triangle circumscribed about the circle such that SA \leqSB \leqSC. Find the loci of the vertices A, B, C.