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Index Entry
Spherical Triangle Sequence:
"How much more do the angles add up to more than 180°.
"All the great circles are the shortest distance between two points on spheres. Great circle triangles give simply what we say. There is a triangle there literally of 300° in each corner. 300° minus; and (60,60,60) 180° plus.
“If I started you off with reality operationally, like Einstein, I couldn’t ever start you off with a plane, but I would start you on a sphere. Once you do that you realize that what we call the edges of a triangle-- or arc-- is simply the central angle. You are dealing in central angles and surface angles. You are dealing all in angles and you have no incompatibility for your fractions. This is where we should have started all of our arithmetic and all of our geometry. We should have started with whole systems.”
