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Construct the parallelogram [ILL 1974]

Source:

January 2, 2011

geometryparallelogramgeometry proposed

Problem Statement

A circle

K

with radius

r

, a point

D

on

K

, and a convex angle with vertex

S

and rays

a

and

b

are given in the plane. Construct a parallelogram

ABCD

such that

A

and

B

lie on

a

and

b

respectively,

SA+SB=r

, and

C

lies on

K

.

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