T
H
E

E
L
E
M
E
N
T
S
Book IV   Proposition 3
It was proved that the angle LMN is equal to the angle DEF and the angle LNM to the angle DFE; therefore
    the remaining angle MLN is equal to the angle EDF. [I.32]

Therefore
    the triangle LMN is equiangular with the triangle DEF;
and
    is has been circumscribed about the circle ABC.

Being what it was required to do.
Previous Page    Return to Propositions    Seq.5 Next: IV.4