T
H
E

E
L
E
M
E
N
T
S
Book IV   Proposition 13
Therefore
    the five straight lines FG, FH, FK, FL, FM are equal to one another.

Therefore
    the circle described with center F and distance one of the straight lines FG, FH, FK, FL, FM will pass also through the remaining points;
and
    it will touch the straight lines AB, BC, CD, DE, EA, because the angles at the points G, H, K, L, M are right.
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