Euclidean Geometry Courses and Certifications

Insights into Mathematics

The Geometry of Euclidean Reflections and Rotations - Grounded Case

Explore Euclidean reflections and rotations using rational geometry. Learn about complex number multiplication, group structures, and a visual notation for describing transformations.

• YouTube
• 24 minutes
• On-Demand
• Free Video

Insights into Mathematics

The Language of Geometry - Math Terminology

Comprehensive review of geometry terminology for university students, covering Euclidean concepts, shapes, transformations, 3D geometry, and coordinate systems. Includes subtitles and supplementary materials.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Insights into Mathematics

Spherical and Elliptic Geometries - An Introduction

Explore spherical geometry fundamentals: great circles, antipodal points, triangles, and circles. Learn key concepts and visualize ideas with physical models, connecting to 3D space and Euclidean geometry.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Wrath of Math

The First Ever Curved Shape to Have Its Area Calculated

Discover how Hippocrates of Chios became the first mathematician to calculate a curved shape's area 200 years before Archimedes, using his ingenious proof for squaring the lune.

• YouTube
• 13 minutes
• On-Demand
• Free Video

3Blue1Brown

What Was Euclid Really Doing - Understanding Ruler and Compass Constructions in Ancient Geometry

Explore the philosophical foundations behind Euclid's geometric methods and discover why ruler-compass constructions were central to ancient mathematical reasoning and proof.

• YouTube
• 33 minutes
• On-Demand
• Free Video

Equations and Their Origins - α + β + γ = 180° Starring Euclid

Discover the fascinating 2000-year history behind Euclid's triangle angle theorem and why Lewis Carroll defended this fundamental geometric principle against alternatives.

• YouTube
• 18 minutes
• On-Demand
• Free Video

Insights into Mathematics

Half-Slope and the Full Group of Euclidean Isometries - WildTrig: Intro to Rational Trigonometry

Explore half-slopes in planar reflections and rotations, circle sums, and translations to understand Euclidean isometries. Gain insights into rational trigonometry and algebraic approaches to geometry.

• YouTube
• 21 minutes
• On-Demand
• Free Video

Schmid College, Chapman University

A Possible Way to Read and Interpret Euclid's Elements

Explore a novel approach to reading Euclid's Elements, focusing on fundamental theorems in Books I and II as a guide to understanding Euclidean geometry and its philosophical implications.

• YouTube
• 2 hours 3 minutes
• On-Demand
• Free Video

Insights into Mathematics

Algebraic Structure on the Euclidean Projective Line - Rational Geometry Math Foundations 137

Explores algebraic structure on the Euclidean projective line, covering projective formulas, isometries, rotations, and their compositions. Connects to chaos theory and complex number multiplication.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Affine and Euclidean Geometry - The Modern Approach

Explore modern approaches to affine and Euclidean geometry, with applications to electrodynamics and relativity theory in this advanced physics lecture.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Insights into Mathematics

Non-Euclidean Geometry - Math History - NJ Wildberger

1 review

Explore the complex history and modern interpretations of non-Euclidean geometry, challenging traditional narratives and proposing new perspectives on this fundamental mathematical concept.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Precalculus 3: Trigonometry

188 ratings at Udemy

The Algebra 2 topic of trigonometry, preparing for studies of Calculus; contains a crash course in Euclidean geometry

• Udemy
• 2 days 3 hours 58 minutes
• On-Demand
• Paid Course

Mathologer

Why Is Doubling Cubes and Squaring Circles Impossible?

Explore the 2000-year journey to prove the impossibility of doubling cubes, trisecting angles, constructing regular heptagons, and squaring circles using only a ruler and compass, from ancient Greece to modern mathematics.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Insights into Mathematics

Arithmetic and Geometry - Math Foundations

Explore fundamental mathematical concepts from basic arithmetic through advanced geometry, covering number systems, fractions, Euclidean geometry, algebra, polynomials, and calculus foundations.

• YouTube
• 18 hours 52 minutes
• On-Demand
• Free Video

Joint Mathematics Meetings

Differential Operators and the Geometry of Domains in Euclidean Space

Explore the interplay between differential operators and domain geometry in Euclidean space with Tatiana Toro's insightful lecture, the inaugural AMS Maryam Mirzakhani Lecture at JMM 2020.

• YouTube
• 51 minutes
• On-Demand
• Free Video