Day 18
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Math 445, Monday, 2/14
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| Sponsor |
Today's class is brought to you by the Spherical
Excess |
| Topics |
Formula for area of
spherical triangle from angle sum. Spherical Excess. |
| Class Schedule |
- Discover area formula for spherical triangles form angle sum (Girard's
theorem)
- Area is proportional to Spherical Excess, which is (A + B + C - 180).
- Triangles with larger area have bigger spherical excess. Therefore,
there are no similar triangles (except for congruent ones). No Thales
theorem is true on the sphere.
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| Assignments |
| New |
Reading Assignment (due Wednesday 11/03)
Link to John Polking Geometry
of the Sphere Pages
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| Due Today |
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| Ongoing |
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