The Spherical Incenter and Incircle.

In Euclidean geometry, the angel bisectors of a triangle are concurrent at the INCENTER, which is the center of the inscribed circle. In the sketch below, the same construction is carried out on a spherical triangle. The red great circles are the angle bisectors. Point Q is the incenter. The green circle is the incircle. Drag points A, B, and C around slowly. The construction responds somewhat slowly...there are quite a few great and small circles constructed.

 

Steve Phelps

 
Resource Type
Activity
Tags
modspar 
Target Group (Age)
14 – 18
Language
English (United States)
 
 
 
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