AtomicJoe
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Drakkith said:Yes, the geometry you used in school is 100% incorrect when you use it in a situation where it does not apply. For example, a triangle has angles that always add up to 180 degrees correct? What about when you make a triangle on a large spherical object like the Earth? Guess what...they don't add up to 180 degrees anymore. Why? Because Euclids geometry doesn't apply to large curved surfaces.
See here: http://en.wikipedia.org/wiki/Non-Euclidean_geometry
The simple answer is that a 'triangle on a spherical surface is not a triangle.
Easily proven by putting it on a flat surface.