Definitions for plane geometry
plane geom·e·t·ry

Princeton's WordNetRate this definition:0.0 / 0 votes

1. plane geometrynoun

   the geometry of 2-dimensional figures

WikipediaRate this definition:0.0 / 0 votes

1. plane geometry

   Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions (theorems) from these. Although many of Euclid's results had been stated earlier, Euclid was the first to organize these propositions into a logical system in which each result is proved from axioms and previously proved theorems.The Elements begins with plane geometry, still taught in secondary school (high school) as the first axiomatic system and the first examples of mathematical proofs. It goes on to the solid geometry of three dimensions. Much of the Elements states results of what are now called algebra and number theory, explained in geometrical language.For more than two thousand years, the adjective "Euclidean" was unnecessary because no other sort of geometry had been conceived. Euclid's axioms seemed so intuitively obvious (with the possible exception of the parallel postulate) that any theorem proved from them was deemed true in an absolute, often metaphysical, sense. Today, however, many other self-consistent non-Euclidean geometries are known, the first ones having been discovered in the early 19th century. An implication of Albert Einstein's theory of general relativity is that physical space itself is not Euclidean, and Euclidean space is a good approximation for it only over short distances (relative to the strength of the gravitational field).Euclidean geometry is an example of synthetic geometry, in that it proceeds logically from axioms describing basic properties of geometric objects such as points and lines, to propositions about those objects. This is in contrast to analytic geometry, introduced almost 2,000 years later by René Descartes, which uses coordinates to express geometric properties as algebraic formulas.

ChatGPTRate this definition:0.0 / 0 votes

1. plane geometry

   Plane geometry is a branch of mathematics that deals with shapes and figures that exist on a two-dimensional flat surface, called a plane. It involves the study of properties and relationships of points, lines, angles, curves, surfaces and solids in two dimensions. Concepts like congruency, similarity, area, perimeter, and volume are fundamental aspects of plane geometry. It is derived from the principles set forth by the Greek mathematician Euclid in his work, Euclidean geometry.

Matched Categories

1. • Geometry
   • Mathematics

How to pronounce plane geometry?

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Numerology

1. Chaldean Numerology

   The numerical value of plane geometry in Chaldean Numerology is: 8

2. Pythagorean Numerology

   The numerical value of plane geometry in Pythagorean Numerology is: 3

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=plane geometry
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Plane_Geometry
3. ^ ChatGPT
   https://chat.openai.com