(1966). Some Radical Axes Associated with the Circumcircle. Mathematics Magazine: Vol. 39, No. 1, pp. 9-17.
(1963). Reflective Geometry of the Brocard Points. Mathematics Magazine: Vol. 36, No. 3, pp. 162-175.
If BC be the perpendicular bisector of XX',. we shall say that X'(X) is the reflection of X(X') with respect to BC. Similarly, when CA and AB are the perpendicular bisectors of YY' and ZZ' respectively, we say that Y'(Y) is the reflection of Y(Y') with respect to CA and Z'(Z) is the reflection of Z(Z') with respect to AB. Suppose ABC and XYZ be two triangles in the plane. Reflect X with respect to BC, Y with respect to CA, and Z with respect to AB thereby obtaining triangle X'Y'Z '.. Under what conditions will triangles XYZ and X'Y'Z' be similar or as we shall say with respect to triangle ABC? Will the similarity be director inverse? If triangle XYZ is reflective with respect to triangle ABC, is triangle ABC reflective with respect to triangle XYZ? These and other questions are answered in the discussion to follow. Reflectivity is shown to be reciprocal and furthermore the reflective pairs of triangles are shown to occur in groups of fours. Many important facts of reflectivity -re omitted in the present article with the hope that they may be considered at a future time.