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Index Entry
Spherical Triangle Sequence:
“No surface is conceivable without its inherent sphere as a truly flat Universe reaching outwards laterally in all directions to infinity, though illusionarily accepted as ‘obvious’ by historical humanity, is contradictory to experience. The surface of any system must return to itself in all directions and is most economically successful in doing so as an approximate true sphere which contains the most volume with the least surface. Nature always seeks the most economical solutions, ergo the sphere is normal to all systems experience and to all experiential, i.e., operational consideration and formulation. The construction of a triangle involves a surface and a curved surface is most economical and experimentally satisfactory. A sphere is a closed surface, a unitary finite surface. Planes are never finite. Once a triangle is constructed on the surface of a sphere-- because a triangle is a boundary line closed upon itself-- the finitely closed boundary lines of the triangle automatically divide the unit surface of the sphere into two separate surface areas. Both are bounded by the same three great circle arcs and their three vertexial links: which is the description of a triangle. Therefore both areas are true triangles, yet with common edge”
