Center of the Inner Soddy Circle = Inverse of the Center of the Outer Soddy Circle in the Brocard Circle of the Intouch Triangle.

Center of the Inner Soddy Circle = Harmonic Congugate of the Center of the Outer Soddy Circle with respect to the Gergonne Point and Incenter.

Center of the Inner Soddy Circle = Perspector of the Extouch Triangle and Anticevian Triangle of the Center of the Outer Soddy Circle.

Center of the Inner Soddy Circle = Perspector of the Cevian Triangle of the Center of the Inner Soddy Circle and Anticevian Triangle of the Center of the Inner Soddy Circle.

Center of the Inner Soddy Circle = Perspector of the Cevian Triangle of the Center of the Inner Soddy Circle and Circumcevian Triangle of the Center of the Inner Soddy Circle.

Center of the Inner Soddy Circle = Perspector of the Cevian Triangle of the Center of the Inner Soddy Circle and Half-cevian Triangle of the Center of the Inner Soddy Circle.

Center of the Inner Soddy Circle = Perspector of the Anticevian Triangle of the Center of the Outer Soddy Circle and Pedal Triangle of the Bevan Point.

Center of the Inner Soddy Circle = Perspector of the Anticevian Triangle of the Center of the Inner Soddy Circle and Circumcevian Triangle of the Center of the Inner Soddy Circle.

Center of the Inner Soddy Circle = Perspector of the Anticevian Triangle of the Center of the Inner Soddy Circle and Half-cevian Triangle of the Center of the Inner Soddy Circle.

The Center of the Inner Soddy Circle lies on the Soddy Line.

The Center of the Inner Soddy Circle lies on the Line defined by the Incenter and de Longchamps Point.

The Center of the Inner Soddy Circle lies on the Line defined by the Incenter and Center of the Outer Soddy Circlea.

The Center of the Inner Soddy Circle lies on the Line defined by the Incenter and Outer Eppstein Point.

The Center of the Inner Soddy Circle lies on the Line defined by the Incenter and Inner Eppstein Point.

The Center of the Inner Soddy Circle lies on the Line defined by the Gergonne Point and de Longchamps Point.

The Center of the Inner Soddy Circle lies on the Line defined by the Gergonne Point and Center of the Outer Soddy Circlea.

The Center of the Inner Soddy Circle lies on the Line defined by the Gergonne Point and Outer Eppstein Point.

The Center of the Inner Soddy Circle lies on the Line defined by the Gergonne Point and Inner Eppstein Point.

The Center of the Inner Soddy Circle lies on the Line defined by the de Longchamps Point and Center of the Outer Soddy Circlea.

The Center of the Inner Soddy Circle lies on the Line defined by the de Longchamps Point and Outer Eppstein Point.

The Center of the Inner Soddy Circle lies on the Line defined by the de Longchamps Point and Inner Eppstein Point.

The Center of the Inner Soddy Circle lies on the Line defined by the Center of the Outer Soddy Circlea and Outer Eppstein Point.

The Center of the Inner Soddy Circle lies on the Line defined by the Center of the Outer Soddy Circlea and Inner Eppstein Point.

The Center of the Inner Soddy Circle lies on the Line defined by the Outer Eppstein Point and Inner Eppstein Point.