"The" Griffiths point Gr is the fixed point in Griffiths' theorem. Given four points on a circle and a line through the center of the circle, the four corresponding Griffiths points are collinear. Let the inner and outer Soddy triangles of a reference triangle Δ A B C be denoted Δ P Q R and Δ P' Q' R', respectively. Similarly, let the tangential triangles of Δ P Q R and Δ P' Q' R' be denoted Δ X Y Z and Δ X' Y' Z', respectively. Then the inner (respectively, outer) Griffiths point Gr (respectively, Gr') is the perspector of Δ P Q R and Δ X' Y' Z' (respectively, Δ P' Q' R' and Δ X Y Z). The Griffiths points lie on the Soddy line.
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