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51M04: Elementary Euclidean geometry (2-dimensional)


Ordinary plane geometry (such as is studied in US secondary schools) holds an irresistible appeal, although many results derive what appear to be unimaginative conclusions from tortured premises. Nonetheless, from time to time something catches our eye and gets us to think about ordinary triangles and circles.


Applications and related fields

Constructibility with compass and straightedge is dealt with elsewhere.

Tilings and packings in the plane are part of Convex Geometry.

Many topics regarding polygons (e.g. decompositions into triangles and so on) are treated as part of polyhedral geometry.


Parent field: 51M - Real and Complex Geometry

Textbooks, reference works, and tutorials

Software and tables

A compendium of plane curves

For computational geometry see 68U05: Computer Graphics

Other web sites with this focus

Selected topics at this site

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Last modified 1999/08/12 by Dave Rusin. Mail: feedback@math-atlas.org