Further subjects are under miscellaneous mathematics and Geometric algebra.
The purpose is to introduce spherical triangles with one ore more angles or sides greater than pi. A signed area theory extends with a little modification the connection between area and spherical excess , and facilitates a classification of the triangles.
The triangle cases are investigated. Formulae for the radii of circumcircles , in- and excircles are found.
Also the assignment problem for incircles is solved. A duality theorem is proved.
The content of the work starts with some basic theory regarding the subject. To get an overview of the contents of the work it is listed in a bulleted list below:
- The basic theory.
- GST problems and solutions.
- Theory for the GST cases.
- The Circumcircle.
- In- and Excircles.
Generalized Spherical Triangles – Download
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Other projects within miscellaneous mathematics
There are many relevant topics to immerse oneself in within miscellaneous mathematics. An example of a topic could perhaps be the following topic: Continued Fractions.