Lesson 1: Mathematics and Liberal Education

24:10

Lesson 3: Deductive Reasoning and the Transformation of Mathematics

30:36

Lesson 4: “Begin at the Beginning”: The Axioms of Euclidean Geometry

28:07

Lesson 6: Euclid’s Fifth Postulate

25:30

Lesson 7: Euclid’s Proof of the Pythagorean Theorem

28:18

Lesson 9: Euler and the Birth of a New Geometry

23:12

Lesson 10: The History of the Fifth Postulate

25:51

Lesson 11: Non-Euclidean Geometry

24:23