Examples of 'euclidean plane' in a sentence

Meaning of "euclidean plane"

Euclidean plane: In mathematics, a two-dimensional space where geometric figures can be defined using Euclidean geometry. It refers to the flat surface familiar from classical geometry
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  • Two-dimensional Euclidean space.

How to use "euclidean plane" in a sentence

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euclidean plane
Euclidean plane isometries.
Convex uniform tilings of the Euclidean plane.
Euclidean plane isometry.
Represent different points in the Euclidean plane.
Euclidean plane geometry.
The triakis triangular tiling is a tiling of the Euclidean plane.
Euclidean plane tilings by convex regular polygons have been widely used since antiquity.
The group of direct isometries of the Euclidean plane is metabelian.
This meant that Euclidean plane geometry must fail for the disk.
This is reminiscent of the isoperimetric problem in the Euclidean plane.
The familiar Euclidean plane is an affine plane.
What is left is the incidence structure of the Euclidean plane.
Triangulation of Euclidean plane by equilateral triangles.
If no ambient space is mentioned then the Euclidean plane is assumed.
Assume the setting is the Euclidean plane and a group of different points are given.

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At the age of twelve he read a book on Euclidean plane geometry.
In this way the Euclidean plane is not quite the same as the Cartesian plane.
Thus through transformations students learn about Euclidean plane isometry.
The basic elements of Euclidean plane geometry are points and lines.
This system has all the symmetries of the Euclidean plane.
The geometry of the Euclidean plane is that the shortest distance is the straight line.
Each such pair has a unique intersection point in the extended Euclidean plane.
To create the Moulton plane from the Euclidean plane some of the lines are redefined.
This article summarizes the classes of discrete symmetry groups of the Euclidean plane.
Uniform tilings can exist in both the Euclidean plane and hyperbolic plane.
A convex curve may be defined as the boundary of a convex set in the Euclidean plane.
A Euclidean plane with a chosen Cartesian coordinate system is called a Cartesian plane.
Elliptic geometry has a variety of properties that differ from those of classical Euclidean plane geometry.
The Euclidean plane and the Moulton plane are examples of infinite affine planes.
Let ABC be a triangle in the Euclidean plane.
The Euclidean plane.
A lattice in the Euclidean plane.
An isometry of the Euclidean plane is a distance-preserving transformation of the plane.
The same realization may be projected into Euclidean space or the Euclidean plane.
Because circles on a square in the Euclidean plane have a maximum packing density of 0.
Let S denote a set of n points in the Euclidean plane.
Considering the Euclidean plane a normed vector space, the squircle is a particular case of a circle.
For this reason, it is degenerate in the Euclidean plane.
More formally, these are curves in the Euclidean plane with positive two-dimensional Lebesgue measure.
In mathematics, Ono 's inequality is a theorem about triangles in the Euclidean plane.
The Euclidean plane and the cylinder both have constant Gaussian curvature 0.
Ceva 's theorem is a theorem about triangles in Euclidean plane geometry.
Geometrically, one studies the Euclidean plane ( two dimensions ) and Euclidean space three dimensions.
Formally speaking, the curves must be differentiable curves in the Euclidean plane.
A smooth plane curve is a curve in a real Euclidean plane R2 and is a one-dimensional smooth manifold.
Mathematically, tessellations can be extended to spaces other than the Euclidean plane.
No doubt, the tessellations of the Euclidean plane are well-known to you.
In geometry, the truncated hexagonal tiling is a semiregular tiling of the Euclidean plane.
In mathematics, a plane curve is a curve in a Euclidean plane compare with space curve.
There are eighteen two-parameter families of regular compound tessellations of the Euclidean plane.

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