Class Notes and Handouts

Monday 1/5 -- Orthogonal Circles

Wednesday 1/7 - Power of a Point and Radical Axis

Wednesday 1/7 -- Constructing Orthogonal Circles Through 3 Points/Circles (also see Lab 1)

Friday 1/9 -- Various Constructions for Inversion

Monday 1/12 - Apollonian Circles

Wednesday 1/14 - Inversion Images

Friday 1/16 - Inversions, Circles and Angles

Wednesday 1/21 Klein's Erlangen Program and DWEG

Wednesday 1/20 Three tangent circles


Student Notes on Circles, from Group Assignment 2

Problem 1: Inversion Properties

Problem 2: Pencils of Circles

Problem 3 (pdf): Power of a point and radical axis

Problem 5: Image of a circle

 


Student Notes on Spherical Geometry

2/2 Sphere Questions (Munchak)

2/4 More Sphere Questions and some Answers (Ingraham) and (Kim)

2/6 Triangles on a Sphere (McCaslin)

2/9 Areas of Lunes and Triangles (Duncan) and (Moser)

2/11 Maps and Projections of a Sphere onto a Plane (Podolak)

Cylindrical Coordinates (Adriance)

Notes on Triangle Area Formula

3/3 Defect in Hyperbolic Geometry (Watanabe)

3/5 Harmonic Arrangements and Complete Quadrangle (Jarvis)

3/8 More projective (Wesson gsp file)


Circle Concepts from Group Assignment 2

 

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