MathDB

(SWE 3)

Find the natural number

n

with the following properties:

(1)

Let

S = \{P_1, P_2, \cdots\}

be an arbitrary finite set of points in the plane, and

r_j

the distance from

P_j

to the origin

O.

We assign to each

P_j

the closed disk

D_j

with center

P_j

and radius

r_j

. Then some

n

of these disks contain all points of

S.

(2)

n

is the smallest integer with the above property.

60