¶ Spherical Triangle Sequence (3)
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Index Entry
Sphere divide the total surface into two finite areas each of which are bound by three edges and three angles, ergo by two triangles, but these triangles are on the surface of a system whose unity of volume was thereby divided into centrally angled tetrahedra because the shortest lines on sphere surfaces are great circles and great circles are always formed on the surface of a sphere by planes going through the center of the sphere, which planes of the three-great-circle-arc-edged triangle drawn on the surface automatically divide the whole sphere internally into two spherical tetrahedra-- each of which has its four triangles, ergo inscribing one triangle ‘gets you Eight,’ like it or not. And each of those eight triangles has its inside and outside, wherefore inscribing one triangle, which is the minimum polygon, like ‘Open Sesame,’ inadvertently gets you 16 triangles. And that is not all: the sphere on which you scribed is a system and not the whole Universe, and your scribing a triangle on it to stake out your ‘little area on Earth’ not only begat 16 terrestrial triangles but also induced the remainder of Universe outside the system and inside the system to manifest their invisible or nonunitarily conceptual ‘minimum inventorying’ of ‘the rest of Universe other than Earth’
