T
H
E

E
L
E
M
E
N
T
S
Book IV   Proposition 8
Therefore
    the four straight lines GE, GF, GH, GK are equal to one another.

Therefore
    the circle the circle described with center G and distance one of the straight lines GE, GF, GH, GK will pass also through the remaining points.
And
    It will touch the straight lines AB, BC, CD, DA, because the angles at E, F, H, K are right.
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