Video Lectures
It is nothing short of a miracle that modern methods of instruction have not yet entirely strangled the holy curiosity of inquiry.
—Albert Einstein (1879–1955)
Quoted in H. Eves Return to Mathematical Circles (Boston 1988).

Due to MSUM no longer supporting Tegrity Videos, these links no longer work and the videos are not available on the web.

Chapter 1
      1.1 Example of an Axiomatic System. 
      1.2 Fano's Theorem 1.
      1.2 Fano's Theorem 2.
      1.3 Finite Projective Plane Models. (Lecture by Jessica Mavis)
      1.3 Finite Projective Theorem 2.
      1.3 Finite Projective Theorem 3.

Chapter 2
      2.1 All Triangles Are Isosceles? (Jessica Mavis)
      2.1 Euclidean Distance is a Distance Function (Lecture by Jessica Trautwein)
      2.2 Existence of Points. (Jessica Trautwein)
      2.2 Line Uniqueness. (Jessica Trautwein)
      2.3 Euclidean Plane satisfies the Ruler Postulate. (Jessica Trautwein)
      2.3 Ruler Placement Postulate. (Jessica Trautwein) (Outline of proof.)
      2.3 Ruler Models in Geometers Sketchpad (Jessica Mavis)
      2.4 Plane Separation Postulate.
      2.4 Measurement of Angles in the Euclidean Plane and the Poincare Half-plane. (Jessica Trautwein)
      2.4 Triangle Inequality (Jessica Mavis)
      2.6 Exterior Angle Theorem.
      2.6 Alternate Interior Angles and Parallel Lines.
      2.6 Alternate Interior Angles imply Parallel Lines. (Jessica Mavis)
      2.6 Saccheri Quadrilateral.
      2.7 Construct perpendicular lines in Poincare Half-plane ( Lecture by Lindsey Carlson)
      2.7 Euclid's Fifth Postulate implies Playfair's Axiom.
      2.7 Playfair's Axiom implies Euclid's Fifth Postulate.

Chapter 3
      3.2 Analytic Model for the Euclidean Plane.
      3.2 Affine Transformation of the Euclidean Plane.
      3.3 Isometry - Invariant Properties.
      2.4 & 3.3 Triangle Inequality (Jessica Mavis)
      3.3 Isometry - Group Under Composition.
      3.3 Isometry Determined from Three Points.
      3.3 Image of a Line Under an Affine Transformation.
      3.3 Matrix Form of an Affine Isometry.
      3.3 Angle Between Lines for an Affine Isometry.
      3.4 Translations.
      3.4 Translations - Invariant Properties.
      3.4 Rotation is an Isometry
      3.4 Translation - Matrix Form
      3.4 Rotation - Matrix Form
      3.5 Reflection is an Isometry
      3.5 Reflection - Matrix Form (Jessica Mavis)
      3.5 Isometry a Composition of Reflections (Jessica Trautwein)

Chapter 4
      4.3 Duality - Axioms 1–3.
      4.3 Duality - Axiom 4.
      4.3 Duality - Axiom 5.
      4.5 Harmonic Sets - Existence.
      4.5 Harmonic Sets - Uniqueness.
      4.5 Harmonic Sets - H(AB,CD) iff H(CD, AB).
      4.6 Existence of a Projectivity Between Distinct Pencils.
      4.6 Fundamental Theorem of Projective Geometry.
      4.6 Harmonic Sets and Projectivity.
      4.6 Alternate Construction of a Projectivity (Theorem of Pappus.)
      4.7 Points of a Point Conic.
      4.7 Five Points Determine a Point Conic.
      4.7 Point Conics and Diagonal Points of a Hexagon.
      4.7 Five Point Determine a Unique Point Conic.
      4.7 Tangent Lines to Point Conics.
      4.7 Tangent Lines and A Degenerate Form of Pascal's Theorem.

Mathematics is a language
—Josiah Willard Gibbs (1839–1903)