Euclidean geometry

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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

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Chapter 4 pg 42 - Chapter header of The Adventures of Tom Sawyer by Mark Twain. Published in 1884 by The American Publishing Company

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An ancient egyptian hieroglyphic painted carving showing the falcon headed god Horus seated on a throne and holding a golden fly whisk. Before him are the Pharoah Seti and the goddess Isis. Interior wall of the temple to Osiris at Abydos, Egypt.

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Leonardo da Vinci (1452-1519), Italian Renaissance painter from Florence. Engraving by Cosomo Colombini (d. 1812) after a Leonardo self portrait. Ca. 1500.

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The Battle of New Orleans, by E. Percy Moran, c. 1910. Andrew Jackson, War of 1812.

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The Jeff Koons tulips sculputure outside the Guggenheim Museums in Bilbao, Spain, Basque Country.

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Euclidean geometry: Related Content

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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

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Topics

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

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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

All About Math Quiz

Equations written on blackboard

Numbers and Mathematics

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

Define It: Math Terms