|Book III Proposition 10|
It was proved that
the center of the circle ABC is on each of AC, NO.
the straight lines meet at no point except at P;
the point P is the center of the circle ABC.
Similarly we can prove that
P is also the center of the circle DEF;
the two circles ABC, DEF which cut one another have the same center P: which is impossible. [III.5]
|Previous Page Return to Propositions Next Page|