Geometry (2024)
18 videos
This course is intended as a high school-level Euclidean Geometry course. The course begins by briefly covering Propositional Logic, Predicate Logic with Identity, and Set Theory before beginning Geometry proper using Hilbert's axioms (or close approximations). Upon finishing Planer Geometry, we will briefly cover Solid Geometry and Analytic Geometry. Time permitting, I will then lay the foundations of Trigonometry, followed by briefly looking at the Axioms of Arithmetic.
Resources
- 1
Propositional Logic & History – Lecture 1 (Geometry)
2:11:33
- 2
Predicate Logic and Identity – Lecture 2 (Geometry)
1:20:01
- 3
Set Theory and Proofs – Lecture 3 (Geometry)
1:30:12
- 4
Postulates and Definitions Concerning Lines – Lecture 4 (Geometry)
1:49:22
- 5
Postulates and Definitions Concerning Congruence – Lecture 5 (Geometry)
1:29:17
- 6
Comparing and Measuring Segments – Lecture 6 (Geometry)
1:05:21
- 7
Congruence of Angles and Triangles – Lecture 7 (Geometry)
1:00:15
- 8
Congruence of Triangles and Angle Inequalities – Lecture 8 (Geometry)
1:21:11
- 9
Euclid's Elements & Constructions – Lecture 9 (Geometry)
2:06:23
- 10
Parallel Lines and Non-Euclidean Geometries – Lecture 10 (Geometry)
1:34:02
- 11
Midterm Review - Lecture NA (Geometry)
1:04:52
- 12
Similar Triangles & Ratios – Lecture 11 (Geometry)
1:36:37
- 13
Similar Triangles & Pythagorean Theorem – Lecture 12 (Geometry)
1:06:08
- 14
Area & Pythagorean Theorem – Lecture 13 (Geometry)
1:07:07
- 15
Circles, Regular Polygons, and Limits – Lecture 14 (Geometry)
2:04:24
- 16
Angles, Arcs, and the Unit Circle – Lecture 15 (Geometry)
2:10:39
- 17
Centroid, Incenter, Circumcenter, and Orthocenter – Lecture 16 (Geometry)
1:21:39
- 18
Analytic Geometry and Equations of Lines – Lecture 18 (Geometry)
1:30:08