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| ``spherical triangles (was Sine-formula)''
by Wkbj79 on 2007-10-24 09:27:11 |
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| Are there some properties of spherical triangles analogous to those of planar ones (sum of angles equals 180)?
As far as the angle sum of a triangle is concerned, it is not even constant. It ranges anywhere from 180 to 540, not including endpoints. Working in radians instead of degrees, it turns out that the area of a triangle is equal to the sum of its angles minus pi. (This quantity is also known as the triangle's defect.) Take a look here:
http://planetmath.org/encyclopedia/AreaOfASphericalTriangle.html
As for other properties of spherical triangles, you might want to look at:
http://planetmath.org/encyclopedia/ComparisonOfCommonGeometries.html
Hope this helps.
Warren |
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