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First and Second Isodynamic Points |
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Given  ABC.
Let La, La, and La are
the endpoints of the interior angle bisectors of angles A, B and C,
respectively.
Let Ka be the intersection point of line BC and
the exterior angle bisector of
 A.Let Kb be the intersection point of line AC and the exterior angle bisector of B.Let Kc be the intersection point of line AB and the exterior angle bisector of C.Let cA is the circle having KaLa as diameter. The circle cA is called the A-Apollonius circle. Let cB is the circle having KbLb as diameter. The circle cB is called the B-Apollonius circle. Let cC is the circle having KcLc as diameter. The circle cC is called the C-Apollonius circle. The three circles cA, cB and cC meet in two points, labeled X and Y, called the First and the Second Isodynamic Point, respectively. 
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