¶ Spherical Triangle Sequence (1)
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Index Entry
Spherical Triangle Sequence:
“I have a hypothetical sphere here now and you are looking at one spherical triangle on the sphere and these are the three radii to it. . . . Whereas in plane geometry, in the regular geometrical triangles of the Greeks, the sums of the angles were always 180 degrees in the inside of a triangle. In a spherical triangle the sum of the angles of the triangle are never 180 degrees, so that spherical geometry is a very different kind of geometry from the plane. I want you to get familiar with it because there is no plane flat surface on Earth and so therefore there are no plane triangles and we are dealing always in systems and the systems are characterized by triangles which are spherical triangles and these are the kinds of triangles which control our fundamental transformations.”
¶ Citations
- OREGON Lecture #6, p. 205-6, 10 Jul’62
