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Spherical trigonometry

A spherical triangle is a shape created on a sphere's surface by three great circle arcs meeting at each of its three vertices pairwise. A few important facts regarding spherical triangles are:

-The sides are not lines; rather, they are the arcs of huge circles.
-Every side is quantified by its arc length, which is commonly represented as an angle at the sphere's centre.
-A spherical triangle's total angles are always larger than 180° and less than 540°.
-Any two sides added together always equal more than the third side.

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lpthehermit · 56-60, M
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