Euclidean geometry

Table of Contents

References & Edit History Related Topics

Images

Three theorems of congruent triangles

Proof that the sum of the angles in a triangle is 180 degrees

Fundamental theorem of similarity

Area of a triangle

Pythagorean theorem

Chord in a circle

Three-dimensional shapes

Platonic solids

Figure 2: Illustration of Euclid's fifth postulate (see text).

quadrilateral of Omar Khayyam

For Students

Euclidean geometry summary

Discover

Sailboat against a beautiful landscape

Which Waters Do You Pass Through When You “Sail the Seven Seas”?

Orange basketball on black background and with low key lighting. Homepage 2010, arts and entertainment, history and society

The 10 Greatest Basketball Players of All Time

Ice Sledge Hockey, Hockey Canada Cup, USA (left) vs Canada, 2009. UBC Thunderbird Arena, Vancouver, BC, competition site for Olympic ice hockey and Paralympic ice sledge hockey. Vancouver 2010 Olympic and Paralympic Winter Games, Vancouver Olympics

10 Best Hockey Players of All Time

African Americans demonstrating for voting rights in front of the White House as police and others watch, March 12, 1965. One sign reads, "We demand the right to vote everywhere." Voting Rights Act, civil rights.

Timeline of the American Civil Rights Movement

Secret Service Agent Listens To Earpiece

Secret Service Code Names of 11 U.S. Presidents

Data analysis of the Super Bowl's "winningest" teams, game locations, MVP winners by position, teams with the most game losses. football, sports, infographic

From Sport to Spectacle: The History of the Super Bowl

Small, white rat (genus Rattus) on a glass table. (rodent, laboratory, experiment)

Cruel and Unusual Punishments: 15 Types of Torture

Euclidean geometry: Related Content

Written and fact-checked by The Information Architects of Encyclopaedia Britannica

Photos

Three theorems of congruent triangles

Proof that the sum of the angles in a triangle is 180 degrees

Fundamental theorem of similarity

Area of a triangle

Pythagorean theorem

Chord in a circle

Three-dimensional shapes

Figure 2: Illustration of Euclid's fifth postulate (see text).

quadrilateral of Omar Khayyam

See All Images and Interactives →

Topics

Pythagorean theorem triangle inequality method of exhaustion quadrature parallel postulate side-angle-side theorem Thales’ rectangle method of indivisibles Cavalieri’s principle fundamental theorem of similarity topology analytic geometry differential geometry projective geometry non-Euclidean geometry algebraic geometry catastrophe theory Pappus’s theorem Ceva’s theorem length, area, and volume

Dig Deeper: More Articles That Discuss This Topic

geometry: Euclidean geometry

Key People

Euclid

Euclid

Greek mathematician

David Hilbert

David Hilbert

German mathematician

Maryam Mirzakhani

Maryam Mirzakhani

Iranian mathematician

Adrien-Marie Legendre

French mathematician

Quiz

Equations written on blackboard

Numbers and Mathematics

Equations written on blackboard

All About Math Quiz

Italian-born physicist Dr. Enrico Fermi draws a diagram at a blackboard with mathematical equations. circa 1950.

Define It: Math Terms