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Describe the locus of points Z

Source:

September 27, 2010

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Problem Statement

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

X

varies along

K

and

Y

varies along the boundary of

Q.