RE: Science Porn
February 18, 2015 at 3:53 pm
(This post was last modified: February 18, 2015 at 4:41 pm by Alex K.)
That's my local airport
Ok if noone is going to bite - for half the sphere the triangle degenerates completely and becomes identical to the equator! It's got three invisible 180 degree angles which corresponds to 3 pi. Incidentally, the integral over the half sphere is 2 pi, and according to the theorem, pi + 2 pi = 3 pi is the predicted sum. Math works even in the weird limiting case where a circle is a triangle!
(February 17, 2015 at 1:44 pm)pocaracas Wrote: Now do it for half the sphere.
Ok if noone is going to bite - for half the sphere the triangle degenerates completely and becomes identical to the equator! It's got three invisible 180 degree angles which corresponds to 3 pi. Incidentally, the integral over the half sphere is 2 pi, and according to the theorem, pi + 2 pi = 3 pi is the predicted sum. Math works even in the weird limiting case where a circle is a triangle!
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