¶ Spherical Excess (2)
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Index Entry
Spherical Excess:
“The internal angles of spherical triangles always add to more than 180 degrees and the larger the spherical triangles the greater the ‘excess.’ Convince yourself of this infraction of your planar thinking by drawing a meridian of longitude which is a great circle from the North Pole to the Earth’s equator, which is also a great circle. Meridians and the equator always intercept each other at 90 degrees. Draw a line along the equator a quarter of the way around the world, which is 90 degrees. Then draw a line returning by meridian to the North Pole. You will have completed a spherical triangle whose three angles are each 90 degrees and add to 270 degrees, or 90 degrees ‘spherical excess.’”
¶ Citations
- Undates Sheet: DYMAXION AIROCEAN WORLD FULLER PROJECTIVE-TRANSFORMATION
