We are given a circle
with center
and radius
and a square
with center
and side
. Let
be the hypotenuse of an isosceles right triangle
. Describe the locus of points
as
varies along
and
varies along the boundary of
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We are given a circle $K$ with center $S$ and radius $1$ and a square $Q$ with center $M$ and side $2$. Let $XY$ be the hypotenuse of an isosceles right triangle $XY Z$. Describe the locus of points $Z$ as $X$ varies along $K$ and $Y$ varies along the boundary of $Q.$
Školjka