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Index Entry
Spherical Triangle: Square Version:
"and thereby possibly their continuance in Universe as competently functioning team members-- members of the varsity or University team of Universe. If, instead of drawing a little one-square-foot circle on the ground-- which means on the surface of the spherical Earth-- we were to draw a square one foot on each side, this would give us the same size local area as before: one square foot.
“A square as defined by Euclid is ‘an area bound by a closed line of four equal length edges and four equal and identical angles.’ By this definition our little square, one foot to a side, which we have drawn on the ground is a closed line of four equal edges and equal angles. But this divides all the Earth’s surface into two areas both of which are equally bound by four equal length edges and four equal angles. Therefore, we have two squares: one little local one and one enormous one. And the little one’s corners are approximately 90 degrees each, which makes the big square’s corners 270 degrees each. While you are not familiar with such thinking, you are confronted with a physical experiment’s results which have informed you that you have been laboring under many debilitating illusions.”
