---
title: Euclidean Geometry
description: Euclidean geometry is the study of flat spaces, points, lines, and angles based on the axioms of Euclid. Learners will understand geometric proofs, congruence, similarity, and the fundamental theorems governing triangles, polygons, and circles.
category: mathematics
subcategory: geometry-and-trigonometry
difficulty: beginner, intermediate, advanced
url: /subject/euclidean-geometry
---

# Euclidean Geometry

Euclidean geometry is the study of flat spaces, points, lines, and angles based on the axioms of Euclid. Learners will understand geometric proofs, congruence, similarity, and the fundamental theorems governing triangles, polygons, and circles.

## Available Resources

3 Books • 1 Courses • 2 Websites

## Courses

### 1. Euclidean Geometry

Master Euclidean Geometry with AoPS Faculty! This course covers proofs, theorems, and problem-solving techniques.

**Difficulty:** Intermediate | **Price:** Paid

**Link:** https://artofproblemsolving.com/school/course/geom

**Tags:** euclidean-geometry, geometric-proofs, competition-math, problem-solving

## Books

### 1. Geometry

**Author:** Ray C. Jurgensen, Richard G. Brown

Classic Houghton Mifflin/McDougal Littell high-school geometry textbook built around two-column proofs. Works through congruent triangles, parallel lines, similarity, circles, area, volume, coordinate geometry and transformations, with graded exercises that train students to write rigorous Euclidean proofs.

**Difficulty:** Intermediate | **Language:** English | **Price:** Paid

**Link:** https://www.amazon.com/dp/0395198348?tag=edmonddante07-20

**Tags:** books, mathematics-statistics, geometry--trigonometry

### 2. Euclidean and Non-Euclidean Geometries

**Author:** Marvin Jay Greenberg

Marvin Jay Greenberg's university text on the foundations of geometry. Rebuilds Euclidean geometry from Hilbert's axioms, traces the history of attempts to prove the parallel postulate, then develops hyperbolic geometry and its models, so readers understand what Euclid's axioms do and don't imply.

**Difficulty:** Intermediate | **Language:** English | **Price:** Paid

**Link:** https://www.amazon.com/dp/0716724464?tag=edmonddante07-20

**Tags:** books, mathematics-statistics, geometry--trigonometry

### 3. Geometry: A Comprehensive Course

**Author:** Dan Pedoe

Dan Pedoe's Dover text treating geometry through vectors and linear algebra. Covers circles, inversion, the Euclidean and affine plane, projective geometry, conics and quadrics, giving readers with some algebra a unified, coordinate-based view of classical Euclidean results.

**Difficulty:** Intermediate | **Language:** English | **Price:** Paid

**Link:** https://www.amazon.com/dp/0486658120?tag=edmonddante07-20

**Tags:** books, mathematics-statistics, geometry--trigonometry

## Websites

### 1. Wolfram MathWorld

**Author:** Eric W. Weisstein

MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://mathworld.wolfram.com

**Tags:** mathematics-reference, encyclopedia, abstract-algebra, number-theory, geometry

### 2. mathsisfun.com

MathIsFun.com is a beginner-friendly math site that explains concepts with clear, step-by-step lessons and interactive activities. It covers topics from algebra and linear equations to geometry, fractions, data, and more, with practice problems, worksheets, and quizzes.

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://mathsisfun.com

**Tags:** websites, mathematics-statistics, algebra

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