(June 5, 2017 at 6:37 pm)BrianSoddingBoru4 Wrote:(June 5, 2017 at 10:27 am)Alex K Wrote: One more along vorlon's lines: the angle sum in a triangle in general isn't 180 degrees anymore. How much it deviates from 180 is directly proportional to the amount of curvature enclosed in the triangle.
I had one helluva time grasping this until a TA I had took three push pins and a length of twine. With these, she constructed a triangle on a globe of the earth, then handed me a protractor and invited me to measure the interior angles. Crystal clear, after that.
Boru
Amusing extremes of that: if you put the three pins on the pole, on the equator and another on the equator a quarter of its length away, you get a triangle with three right angles.
If you put all pins along the equator, you get a triangle with three 180 degree angles that's just a circle.
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition