MathDB

Consider a circle with center

O

and radius

R,

and let

A

and

B

be two points in the plane of this circle. a.) Draw a chord

CD

of the circle such that

CD

is parallel to

AB,

and the point of the intersection

P

of the lines

AC

and

BD

lies on the circle. b.) Show that generally, one gets two possible points

P

(

P_{1}

and

P_{2}

) satisfying the condition of the above problem, and compute the distance between these two points, if the lengths

OA=a,

OB=b

and

AB=d

are given.

Problem Statement