112
FAMOUS PROBLEMS OF MATHEMATICS
A
F
and LI = L3. Suppose L2 = L3. Extend AE its own length to F and draw CF. l:>ADE -- l:>FCE, and L2 = L4
L3 = L4 and AC = CF. Also, since AD
=
CF, AD
=
AC
L5 = LC = LB > LB
but L5 ...
The assumption that L 2
= L 3 is
false.