MathDB

On the plane

S

in a space, given are unit circle

C

with radius 1 and the line

L

. Find the volume of the solid bounded by the curved surface formed by the point

P

satifying the following condition

(a),\ (b)

(a)

The point of intersection

Q

of the line passing through

P

and perpendicular to

S

are on the perimeter or the inside of

C

(b)

A,\ B

are the points of intersection of the line passing through

Q

and pararell to

L

, then

\overline{PQ}=\overline{AQ}\cdot \overline{BQ}

Problem Statement