¶ Spherical Triangle Sequence
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Index Entry
Spherical Triangle Sequence:
"This means then that the bigger of the two spherical triangles which subdivide the total closed surface of the Earth, has three minus corners of 240° each.
"In this next picture we see two spherical triangles which subdivide the sphere into two equal areas-- two hemispheres (Figure 3). Here each of the corner angles of the two complementary triangles covering together the whole sphere have 180° at each corner. This shows us that the equator of the Earth is the boundary between two spherical triangles, each with each of its three corners being 180.°
"In this next picture what was originally the little spherical triangle at the top of the spherical-space model has become the big triangle, and what was the big spherical triangle has now become the little one. If you put those four pictures successively into the projector and then reverse the order and accelerate their sequential reappearance, you will begin to see both the triangles all the time and see the otherwise ‘invisible’ space sphere.
“Now I must explain that because the sphere is concave as”
