Generalizing The Morley Trisector and Various Theorems with Realizability Computations

This paper presents a perspective on figures in plane geometry by means of which various theorems can be systematically proved. The theorem on which this perspective is based, described in Section 2.3, has a particularly useful corollary concerning the matching of angles subtended by vertices. The approach shares some of the objectives of Wu’s method ([10] and [11]) for automation in plane geometry proofs; but the latter translates plane figures into polynomial equations via Cartesian coordinates, which is different from the approach in the present work.