Question 101
A straight line $l$ and a point $A$ are on a plane. $A$ does not belong to the $l$. For each point $M$ on the line $l$ a point $N$ is marked on the plane so that the triangle $AMN$ is equilateral (the vertices of the triangle $AMN$ are mentioned clockwise).
Find the locus of the vertices $N$ of the equilateral triangles $AMN$ when the vertex $M$ moves along the line $l$.
(S. Mazanik)
Find the locus of the vertices $N$ of the equilateral triangles $AMN$ when the vertex $M$ moves along the line $l$.
(S. Mazanik)