Euclidean Geometry Courses and Certifications

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

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

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

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

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

METUopencouseware

Geometry I - Prof. Dr. Cem Tezer

Comprehensive exploration of fundamental geometric concepts, covering various topics over 16 weeks. Ideal for students seeking in-depth understanding of geometry principles and applications.

• YouTube
• 16 hours
• On-Demand
• Free Video

Mathemaniac

What if We Define 1-0 = Infinity - Möbius Transformations Visualized

Explore Möbius transformations and their connection to defining 1/0 = ∞, with insights on circular inversion, Riemann sphere, and applications in geometry and complex analysis.

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

Insights into Mathematics

Geometry with Linear Algebra - Wild Linear Algebra A - NJ Wildberger

Explore the connection between linear algebra and geometry, focusing on Pythagoras' theorem and perpendicularity. Learn how linear algebra provides a solid framework for understanding Euclidean and other geometries.

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

Insights into Mathematics

The Cross Law in Universal Hyperbolic Geometry - Universal Hyperbolic Geometry - NJ Wildberger

Explores the Cross law in Universal Hyperbolic Geometry, proving it with a polynomial identity and demonstrating its application to equilateral triangles. Includes exercises and comparisons to Euclidean geometry.

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

Insights into Mathematics

Quadrance and Spread - Universal Hyperbolic Geometry

Introduces algebraic definitions of quadrance and spread in Universal Hyperbolic Geometry, comparing with Rational Trigonometry and exploring main laws and exercises in this advanced mathematical framework.

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

Insights into Mathematics

The Remarkable Platonic Solids I - Universal Hyperbolic Geometry

Explore the fascinating world of Platonic solids, their symmetry, history, and mathematical properties. Learn about Euclid's contributions and Euler's fundamental relation for polyhedra.

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

Insights into Mathematics

Relativistic Velocity, Core Circles, and Paul Miller's Protractor - Rational Geometry

Explores core circles in rational geometry, connecting projective and Euclidean geometry. Covers parametrization, quadrances, and theorems, bridging abstract concepts with practical applications.

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

Insights into Mathematics

The Three-Fold Symmetry of Chromogeometry - Rational Geometry Math Foundations

Explore chromogeometry's three-fold symmetry, combining Euclidean and relativistic geometries. Discover new patterns and relations beyond traditional approaches, opening doors to 21st century geometric insights.

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

Insights into Mathematics

Isometry Groups of the Projective Line - Rational Geometry Math Foundations

Exploring finite field geometry: isometries, rotations, and reflections on the projective line, revealing connections to relativistic geometry and offering a new perspective on Euclidean concepts.

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

Insights into Mathematics

NJ's Pizza Model for Organizing Geometry - Rational Geometry Math Foundations

Explore a systematic approach to organizing metrical geometry using a pizza-making analogy. Learn about various geometries, their interconnections, and key concepts in this comprehensive overview.

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