¶ Triangle: Minimum of Four Triangles (1)
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Index Entry
Triangle: Minimum of Four Triangles:
"No surface is conceivable without its inherent sphere as a flat Universe is contradictory to experience. The construction of a triangle involves a surface and a curved surface is experimentally satisfactory. Now the minute a triangle is constructed on the surface of a sphere-- because a triangle is a boundary line closed upon itself-- the boundary lines of the triangle automatically divide the surface of the sphere into two separate surface areas, each of which are bounded by three lines of arc and by three vertexes-- which is the description of a triangle. Therefore both areas are true triangles. … It is impossible to construct one triangle alone. In fact, four triangles are inherent to the (oversimplified concept) constructing of ‘one’ triangle. In addition to the complementary surface triangle already noted, there must of necessity be two complementary concave triangles appropriate to them and occupying the reverse or inside of the spherical surface. Inasmuch as convex and concave are opposite they cannot be the same. Therefore a minimum of four triangles are always constructed and which one of them is the ‘fixation’ of the constructor is irrelevant. He might be on the inside, constructing his triangle on
¶ Citations
- NOAH’S ARK, P. 3. 1950
