Geometry (2023)
21 videos
Briefly cover Propositional and Predicate Logic with Identity, some basic Set Theory, and then start Geometry propper using Hilbert's axioms. This course is intended as a high school level Geometry course.
Resources
- 1
Lecture 1 (Geometry) History and Propositional Logic
2:02:13
- 2
Lecture 2 (Geometry) Predicate Logic and Logic with Identity
1:01:31
- 3
Lecture 3 (Geometry) Set Theory
1:15:39
- 4
Lecture 4 (Geometry) Postulates and Definitions Concerning Lines
2:12:47
- 5
Lecture 5 (Geometry) Postulates and Definitions Concerning Congruence
1:36:34
- 6
Lecture 6 (Geometry) Comparing and Measuring Segments
2:20:43
- 7
Lecture 7 (Geometry) Comparing and Measuring Segments
55:25
- 8
Lecture 8 (Geometry) Congruent Angles
1:10:49
- 9
Lecture 9 (Geometry) Congruent Triangles
1:06:02
- 10
Lecture 10 (Geometry) Right Angles, Angle Inequalities, and Exterior Angles
2:40:57
- 11
Lecture 11 (Geometry) Euclid's Elements, Constructions, and Non-Euclidean Geometries
2:46:17
- 12
Lecture 12 (Geometry) Parallel Lines and the Pythagorean Theorem
1:02:14
- 13
Lecture 13 (Geometry) Similar Triangles and the Pythagorean Theorem
2:27:09
- 14
Lecture 14 (Geometry) Area
59:04
- 15
Lecture 15 (Geometry) Circles, Regular Polygons, and Limits
2:40:40
- 16
Lecture 16 (Geometry) Limits, Circumference, and Area of Circles
1:02:00
- 17
Lecture 17 (Geometry) Angles, Arcs, and the Unit Circle
1:57:19
- 18
Lecture 18 (Geometry) Centroid, Incenter, Circumcenter, and Orthocenter
1:24:04
- 19
Lecture 19 (Geometry) Solid Geometry or Space Geometry
1:27:49
- 20
Lecture 20 (Geometry) Analytic Geometry and Equations of Lines
1:32:26
- 21
Lecture 21 (Geometry) Trigonometric Functions and The Unit Circle
58:35