MathDB

On straight line

\ell

there are points

A

B

C

and

D

, following in the indicated order:

AB = a

BC = b

CD = c

. Segments

AD

and

BC

serve as chords of two circles, and the sum of the angular values of the arcs of these circles located on one side of

\ell

is equal to

360^o

. A third circle passes through

A

and

B

, intersecting the first two at points

K

and

M

. The straight line

KM

intersects

\ell

at point

E

. Find

AE

Problem Statement