Plane Geometry

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plane geometry

[′plān jē′äm·ə·trē]
The geometric study of the figures in the euclidean plane such as lines, triangles, and polygons.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Plane Geometry


the branch of elementary geometry that studies the properties of figures in the plane. The term is usually understood to refer to geometry courses taught in secondary schools. The subject matter of plane geometry and the method of presentation were established by the Greek mathematician Euclid in the third century B.C..

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
Solving construction tasks using only a straightedge requires a wider and more profound knowledge of plane geometry than that required to solve problems using a compass and straightedge.
Betweenness plane geometry and its relationship with convex, linear, and projective plane geometries.
Prior to studying three-dimensional geometry, my students had explored topics in plane geometry through a variety of hands-on activities.
Reference plane geometry and continuity, trace width variations, and the plated through-hole (PTH) and via structures may contribute to reflections.
Plane Geometry. Saul (Education Development Center, Massachusetts) argues that the problems are an integral part of the book's plan, and might even be considered its core, which the text merely elucidates.
In this article, we will briefly discuss the plane geometry curriculum for middle school students (grades 7 through 9) in Korea.
Math Matters covers number sense, computation, addition and subtraction, multiplication and division, fractions, decimals, percents, algebra, plane geometry, spatial sense, measurement, statistics, and probability.
Among the topics are Russell's metaphysics in "On Order in Time," a structural and foundational analysis of Euclid's plane geometry, this moment and the next moment, towards a theory of multidimensional time travel, and Godelian time travel and Weyl's principle.
In the first book of the Elements, Euclid develops plane geometry starting with five postulates, the first four of which never aroused controversy.
The second half of the book introduces Felix Klein's Erlanger program, uses the transformational approach to establish traditional theorems of plane geometry, and describes rosette groups, frieze groups, and wallpapers groups
The reconstruction phase seems to show that plane geometry interferes strongly in the reconstruction process.
In plane geometry triangles have in-centres and circum-centres--is the same thing true for tetrahedra in 3D geometry?