¶ Spherical Triangle Sequence
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Index Entry
Spherical Triangle Sequence:
"automatically that closed line divides the total surface of the system into two areas, both of which are bound by that line. And you have only been looking at what is on one side of that line.
"A bathing cap stretches around and you have the opening of the bathing cap where the little snap rests-- stretched around it. Packaged. Now, if it were a sphere you could see it a little better. I am going to draw a closed line on a sphere. It happens to be the equator. It divides the Earth into two areas, you say, the southern and northern hemispheres, and you can be perfectly happy about that. If I go to 85° north latitude and draw a latitude, a lesser circle. I divide the whole Earth into a very large southern and a very small northern. Now I am perfectly clear at this point that dividing surfaces you have to credit both sides. So if I drew a triangle on the Earth locally I divide the whole surface of the Earth into two areas, both of which are bound by my closed line, the three edges and three angles. And the boy said, 'Well, I drew a 60° angle here… ’ and so I learned the sums of the angles of the triangles only "
¶ Citations
- RBF Tape Transcript, Carbondale Dome, pp.22-24, 1 May’71
