Review Topics for Midterm

• Apollonian circles and harmonic division
• Inversion, power, and orthogonal circles
• Radical axis and construction of orthogonal circles
• Elliptic pencil of circles and its orthogonal hyperbolic pencil
• Inversive Geometry and its applications
• DWEG model, lines and circles
• Regular polyhedra - their names, number of vertices, faces edges
• Angles and distances in the cube, tetrahedron and octahedron
• Symmetries of the cube, tetrahedron and octahedron
• Duality and nesting of one regular polyhedron inside another.
• Volumes of cube, tetrahedron and octahedron. Also volume of a pyramid and relation of volume to scaling or dilation.